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DESENVOLVIMENTO DE TÉCNICAS DE REDUÇÃO DE MODELOS TÉRMICOS PARA A SOLUÇÃO DE PROBLEMAS INVERSOS EM CONDUÇÃO DE CALOR

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▲❯❮❙ ❍❊◆❘■◗❯❊ ❉❆ ❙■▲❱❆ ■●◆❆❈■❖

❉❊❙❊◆❱❖▲❱■▼❊◆❚❖ ❉❊ ❚➱❈◆■❈❆❙ ❉❊ ❘❊❉❯➬➹❖ ❉❊

▼❖❉❊▲❖❙ ❚➱❘▼■❈❖❙ P❆❘❆ ❆ ❙❖▲❯➬➹❖ ❉❊ P❘❖❇▲❊▼❆❙

■◆❱❊❘❙❖❙ ❊▼ ❈❖◆❉❯➬➹❖ ❉❊ ❈❆▲❖❘

❯◆■❱❊❘❙■❉❆❉❊ ❋❊❉❊❘❆▲ ❉❊ ❯❇❊❘▲➶◆❉■❆

❋❆❈❯▲❉❆❉❊ ❉❊ ❊◆●❊◆❍❆❘■❆ ▼❊❈➶◆■❈❆

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▲❯❮❙ ❍❊◆❘■◗❯❊ ❉❆ ❙■▲❱❆ ■●◆❆❈■❖

❉❊❙❊◆❱❖▲❱■▼❊◆❚❖ ❉❊ ❚➱❈◆■❈❆❙ ❉❊ ❘❊❉❯➬➹❖ ❉❊

▼❖❉❊▲❖❙ ❚➱❘▼■❈❖❙ P❆❘❆ ❆ ❙❖▲❯➬➹❖ ❉❊ P❘❖❇▲❊▼❆❙

■◆❱❊❘❙❖❙ ❊▼ ❈❖◆❉❯➬➹❖ ❉❊ ❈❆▲❖❘

❉✐ss❡rt❛çã♦ ❛♣r❡s❡♥t❛❞❛ ❛♦ Pr♦❣r❛♠❛ ❞❡ Pós✲

❣r❛❞✉❛çã♦ ❡♠ ❊♥❣❡♥❤❛r✐❛ ▼❡❝â♥✐❝❛ ❞❛ ❯♥✐✈❡r✲

s✐❞❛❞❡ ❋❡❞❡r❛❧ ❞❡ ❯❜❡r❧â♥❞✐❛✱ ❝♦♠♦ ♣❛rt❡ ❞♦s

r❡q✉✐s✐t♦s ♣❛r❛ ❛ ♦❜t❡♥çã♦ ❞♦ tít✉❧♦ ❞❡ ▼❊❙✲

❚❘❊ ❊▼ ❊◆●❊◆❍❆❘■❆ ▼❊❈➶◆■❈❆✳

➪r❡❛ ❞❡ ❈♦♥❝❡♥tr❛çã♦✿ ❚r❛♥s❢❡rê♥❝✐❛ ❞❡ ❈❛❧♦r

❡ ▼❡❝â♥✐❝❛ ❞♦s ❋❧✉✐❞♦s

❖r✐❡♥t❛❞♦r✿ Pr♦❢✳ ❉r✳ ●✐❧♠❛r ●✉✐♠❛rã❡s

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❉❛❞♦s ■♥t❡r♥❛❝✐♦♥❛✐s ❞❡ ❈❛t❛❧♦❣❛çã♦ ♥❛ P✉❜❧✐❝❛çã♦ ✭❈■P✮ ❙✐st❡♠❛ ❞❡ ❇✐❜❧✐♦t❡❝❛s ❞❛ ❯❋❯✱ ▼●✱ ❇r❛s✐❧

■✷✹❞ ■❣♥❛❝✐♦✱ ▲✉ís ❍❡♥r✐q✉❡ ❞❛ ❙✐❧✈❛✱ ✶✾✾✵✲

✷✵✶✻ ❉❡s❡♥✈♦❧✈✐♠❡♥t♦ ❞❡ té❝♥✐❝❛s ❞❡ r❡❞✉çã♦ ❞❡ ♠♦❞❡❧♦s tér♠✐❝♦s ♣❛r❛ ❛

s♦❧✉çã♦ ❞❡ ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s ❡♠ ❝♦♥❞✉çã♦ ❞❡ ❝❛❧♦r ✴ ▲✉ís ❍❡♥r✐q✉❡ ❞❛ ❙✐❧✈❛ ■❣♥❛❝✐♦✳ ✲ ✷✵✶✻✳

✼✹ ❢✳ ✿ ✐❧✳

❖r✐❡♥t❛❞♦r✿ ●✐❧♠❛r ●✉✐♠❛rã❡s✳

❉✐ss❡rt❛çã♦ ✭♠❡str❛❞♦✮ ✲ ❯♥✐✈❡rs✐❞❛❞❡ ❋❡❞❡r❛❧ ❞❡ ❯❜❡r❧â♥❞✐❛✱ Pr♦❣r❛♠❛ ❞❡ Pós✲●r❛❞✉❛çã♦ ❡♠ ❊♥❣❡♥❤❛r✐❛ ▼❡❝â♥✐❝❛✳

■♥❝❧✉✐ ❜✐❜❧✐♦❣r❛✜❛✳

✶✳ ❊♥❣❡♥❤❛r✐❛ ♠❡❝â♥✐❝❛ ✲ ❚❡s❡s✳ ✷✳ ❈❛❧♦r ✲ ❈♦♥❞✉çã♦ ✲ ❚❡s❡s✳ ✸✳ Pr♦❜❧❡♠❛s ✐♥✈❡rs♦s ✭❊q✉❛çõ❡s ❞✐❢❡r❡♥❝✐❛✐s✮ ✲ ❚❡s❡s✳ ■✳ ●✉✐♠❛rã❡s✱ ●✐❧♠❛r✳ ■■✳ ❯♥✐✈❡rs✐❞❛❞❡ ❋❡❞❡r❛❧ ❞❡ ❯❜❡r❧â♥❞✐❛✳ Pr♦❣r❛♠❛ ❞❡ Pós✲ ●r❛❞✉❛çã♦ ❡♠ ❊♥❣❡♥❤❛r✐❛ ▼❡❝â♥✐❝❛✳ ■■■✳ ❚ít✉❧♦✳

❈❉❯✿ ✻✷✶

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❆❣r❛❞❡❝✐♠❡♥t♦s

❆ ❉❡✉s✱ ♣❡❧❛ ♦♣♦rt✉♥✐❞❛❞❡ ❡ ♣♦r ♠✐♥❤❛ s❛ú❞❡✱ ❜❡♠ ❝♦♠♦ ❞❡ t♦❞♦s ♠❡✉s ❢❛♠✐❧✐❛r❡s ❡ ❛♠✐❣♦s✳ ❆♦ ♠❡✉ ♣❛✐✱ ❈é❧✐♦✱ ❡ ♠✐♥❤❛ ♠ã❡✱ ▲❡s✐✱ ♣❡❧❛ ❞❡❞✐❝❛çã♦ ❡ ❛♣♦✐♦ ✐♥❝♦♥❞✐❝✐♦♥❛❧✳

❆♦s ♠❡✉s ✐r♠ã♦s ❡ ♠✐♥❤❛ ♥❛♠♦r❛❞❛ ♣❡❧♦ ❛♣♦✐♦ ❡ ♣❛❝✐ê♥❝✐❛✳ ❆♦ ●✐❧♠❛r ♣❡❧❛ ♦r✐❡♥t❛çã♦✱ ❡♥s✐♥❛♠❡♥t♦s ❡ ♦♣♦rt✉♥✐❞❛❞❡✳

❆♦s ♠❡✉s ❝♦♠♣❛♥❤❡✐r♦s ❞♦ ▲❚❈▼✱ ❡♠ ❡s♣❡❝✐❛❧✱ ❆♥❛ P❛✉❧❛✱ ❆❧✐ss♦♥ ❡ ❋❡r♥❛♥❞♦✱ q✉❡ t❛♠❜é♠ ❝♦♥tr✐❜✉ír❛♠ ♣❛r❛ ♦ ❞❡s❡♥✈♦❧✈✐♠❡♥t♦ ❞♦ tr❛❜❛❧❤♦✳

❆♦s ❞♦❝❡♥t❡s ❞❛ ❋❊▼❊❈ ❡ té❝♥✐❝♦s✲❛❞♠✐♥✐str❛t✐✈♦s q✉❡ ❝♦♥tr✐❜✉ír❛♠ ♣❛r❛ ♠✐♥❤❛ ❢♦r♠❛çã♦✳

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■❣♥❛❝✐♦✱ ▲✳ ❍✳ ❙✳ ❉❡s❡♥✈♦❧✈✐♠❡♥t♦ ❞❡ té❝♥✐❝❛s ❞❡ r❡❞✉çã♦ ❞❡ ♠♦❞❡❧♦s tér♠✐❝♦s ♣❛r❛ ❛ s♦❧✉çã♦ ❞❡ ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s ❡♠ ❝♦♥❞✉çã♦ ❞❡ ❝❛❧♦r✳ ✷✵✶✻✳ ✼✹❢✳ ❉✐ss❡rt❛çã♦ ❞❡ ▼❡str❛❞♦✱ ❯♥✐✈❡rs✐❞❛❞❡ ❋❡❞❡r❛❧ ❞❡ ❯❜❡r❧â♥❞✐❛✱ ❯❜❡r❧â♥❞✐❛✲▼●✳

❘❡s✉♠♦

❆ ♠❛✐♦r✐❛ ❞♦s ♣r♦❜❧❡♠❛s tér♠✐❝♦s ♥❛ ♣rát✐❝❛ ❡♥✈♦❧✈❡ ♠♦❞❡❧♦s tr✐❞✐♠❡♥s✐♦♥❛✐s tr❛♥s✐❡♥t❡s✳ ◆❡st❡s ❝❛s♦s✱ ❛ s♦❧✉çã♦ ❞♦s ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s ♥❡❝❡ss✐t❛ ❞❡ s♦❧✉çõ❡s ♥✉♠ér✐❝❛s ♦✉ ❛♥❛❧ít✐❝❛s ❝♦♠♣❧❡①❛s✱ r❡q✉❡r❡♥❞♦ ❤❛❜✐❧✐❞❛❞❡s ❡s♣❡❝í✜❝❛s ♣❛r❛ ❛ s✉❛ ✐♠♣❧❡♠❡♥t❛çã♦ ❡ ✉s♦✳ ❊st❡ tr❛❜❛❧❤♦ ❞❡❞✐❝❛✲s❡ ❛♦ ❞❡s❡♥✈♦❧✈✐♠❡♥t♦ ❞❡ té❝♥✐❝❛s q✉❡ ♣r♦♠♦✈❡♠ ❛ r❡❞✉çã♦ ❞❡ ♠♦❞❡❧♦s tér♠✐❝♦s ♣❛r❛ ❛ s♦❧✉çã♦ ❞❡ ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s ❡♠ ❝♦♥❞✉çã♦ ❞❡ ❝❛❧♦r✳ ❊♠ ❛❧❣✉♥s ❝❛s♦s✱ ♣r♦❜❧❡♠❛s tr✐❞✐♠❡♥s✐♦♥❛✐s sã♦ r❡❞✉③✐❞♦s ❛ ❜✐❞✐♠❡♥s✐♦♥❛✐s ♦✉ ✉♥✐❞✐♠❡♥s✐♦♥❛✐s ♦✉ ❛✐♥❞❛✱ ✉♥✐❞✐♠❡♥s✐♦♥❛✐s ❝♦♠ ❣❡♦♠❡tr✐❛ ✜♥✐t❛ ♣♦❞❡♠ s❡r r❡❞✉③✐❞♦s ❛ ♣r♦❜❧❡♠❛s ❞❡ ❣❡♦♠❡tr✐❛ ♠❛✐s s✐♠♣❧❡s ❝♦♠♦ ❛ s❡♠✐✲✐♥✜♥✐t❛✱ s❡♠ ♣❡r❞❛ ❞❡ ♣r❡❝✐sã♦ ♥♦s r❡s✉❧t❛❞♦s✳ ❆ s♦❧✉çã♦ ❞♦ ♣r♦❜❧❡♠❛ ✐♥✈❡rs♦ ♥❡st❡ ❡st✉❞♦ ✈✐s❛ ❡st✐♠❛r ✈❛r✐❛❞♦s t✐♣♦s ❞❡ ✢✉①♦ ❞❡ ❝❛❧♦r ❛♣❧✐❝❛❞♦s ❛ ♠♦❞❡❧♦s ✉♥✐❞✐♠❡♥s✐♦♥❛✐s✳ ❆s té❝♥✐❝❛s ❞❡ r❡❞✉çã♦ ❞❡ ♠♦❞❡❧♦ s❡ ❜❛s❡✐❛♠ ♥♦s ❝♦♥❝❡✐t♦s ❞♦s t❡♠♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r✳ ❖❜t❡♠✲s❡ ❛s s♦❧✉çõ❡s ❛♥❛❧ít✐❝❛s ❞♦s ♠♦❞❡❧♦s ✶❉✱ ❛ s❡r❡♠ ❡st✉❞❛❞♦s✱ ♣❡❧♦ ♠ét♦❞♦ ❞❡ ❢✉♥çõ❡s ❞❡ ●r❡❡♥✳ ❆s ❛♥á❧✐s❡s sã♦ ❛♣❧✐❝❛❞❛s ❛ ❛♠♦str❛s ❞❡ P♦❧✐❝❧♦r❡t♦ ❞❡ ❱✐♥✐❧❛ ✭P❱❈✮ ❡ ♠❡t❛❧ ❞✉r♦✳ ❆ té❝♥✐❝❛ ✐♥✈❡rs❛ ❛♣❧✐❝❛❞❛ ❢♦✐ ❛ ❚❋❇●❋ ✭❚r❛♥s❢❡r ❋✉♥❝t✐♦♥ ❇❛s❡❞ ♦♥ ●r❡❡♥✬s ❋✉♥❝t✐♦♥s✮ ✉s❛♥❞♦ ❛ r❡s♣♦st❛ ✐♠♣✉❧s✐✈❛ ❞♦ ♠♦❞❡❧♦ s❡♠✐✲✐♥✜♥✐t♦ ♥♦ ✐♥t❡r✈❛❧♦ ❝♦♠♣r❡❡♥❞✐❞♦ ❡♥tr❡ ♦ t❡♠♣♦ ❞❡ ♣❡♥❡tr❛çã♦ ❞❡ ❝❛❧♦r ❡ ♦ t❡♠♣♦ ❞❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r✳ ❖s r❡s✉❧t❛❞♦s ❞♦ ♣r♦❜❧❡♠❛ ✐♥✈❡rs♦✱ t❛♥t♦ ❞♦s ❞❛❞♦s s✐♠✉❧❛❞♦s q✉❛♥t♦ ❞♦s ❡①♣❡r✐♠❡♥t❛✐s✱ ❢♦r❛♠ s❛t✐s❢❛tór✐♦s ♣❛r❛ ❛ ❡st✐♠❛t✐✈❛ ❞♦ ✢✉①♦ ❞❡ ❝❛❧♦r✱ ✈❛❧✐❞❛♥❞♦✱ ♣♦rt❛♥t♦✱ ❛ té❝♥✐❝❛ ❞❡ r❡❞✉çã♦ ❞❡ ♠♦❞❡❧♦s ❜❛s❡❛❞❛ ♥♦s t❡♠♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r✳

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■❣♥❛❝✐♦✱ ▲✳ ❍✳ ❙✳ ❉❡✈❡❧♦♣♠❡♥t ♦❢ r❡❞✉❝t✐♦♥ t❡❝❤♥✐q✉❡s ♦♥ t❤❡r♠❛❧ ♠♦❞❡❧s t♦ s♦❧✈❡ ✐♥✈❡rs❡ ❤❡❛t ❝♦♥❞✉❝t✐♦♥ ♣r♦❜❧❡♠s✳ ✷✵✶✻✳ ✼✹❢✳ ▼❛st❡r✬s ❚❤❡s✐s✱ ❋❡❞❡r❛❧ ❯♥✐✈❡rs✐t② ♦❢ ❯❜❡r❧â♥❞✐❛✱ ❯❜❡r❧â♥❞✐❛✲▼●✳

❆❜str❛❝t

❯s✉❛❧❧②✱ t❤❡r♠❛❧ ❛♥❛❧②s✐s ✐♥ ♣r❛❝t✐❝❛❧ ❝❛s❡s ✐♥✈♦❧✈❡s tr❛♥s✐❡♥t ❛♥❞ t❤r❡❡✲❞✐♠❡♥s✐♦♥❛❧ ♠♦✲ ❞❡❧s✳ ■♥ t❤❡s❡ ❝❛s❡s✱ t❤❡ s♦❧✉t✐♦♥ ♦❢ ✐♥✈❡rs❡ ♣r♦❜❧❡♠s ♥❡❡❞s ❝♦♠♣❧❡① ♥✉♠❡r✐❝❛❧ ❛♥❞ ❛♥❛❧②t✐❝❛❧ s♦❧✉t✐♦♥s✱ r❡q✉✐r✐♥❣ s♣❡❝✐✜❝ s❦✐❧❧s t♦ ✐♠♣❧❡♠❡♥t ❛♥❞ ✉s❡ ✐t✳ ❚❤✐s ✇♦r❦ ✐s ❞❡❞✐❝❛t❡❞ t♦ t❤❡ ❞❡✈❡✲ ❧♦♣♠❡♥t ♦❢ t❡❝❤♥✐q✉❡s t♦ r❡❞✉❝❡ t❤❡r♠❛❧ ♠♦❞❡❧s ❛♥❞ s♦❧✈❡ ✐♥✈❡rs❡ ❤❡❛t ❝♦♥❞✉❝t✐♦♥ ♣r♦❜❧❡♠s✳ ■♥ s♦♠❡ ❝❛s❡s✱ tr✐❞✐♠❡♥s✐♦♥❛❧ ♣r♦❜❧❡♠s ❝❛♥ ❜❡ r❡❞✉❝❡❞ t♦ ❜✐ ♦r ♦♥❡✲❞✐♠❡♥s✐♦♥❛❧ ✇✐t❤♦✉t ❧♦ss ♦❢ ♣r❡❝✐s✐♦♥✳ ■♥ ♦t❤❡rs✱ ♦♥❡✲❞✐♠❡♥s✐♦♥❛❧ ♣r♦❜❧❡♠s ✇✐t❤ ✜♥✐t❡ ❣❡♦♠❡tr② ❝❛♥ ❜❡ r❡❞✉❝❡❞ t♦ s✐♠♣❧❡ ❣❡♦♠❡tr② ♣r♦❜❧❡♠s ❛s t❤❡ s❡♠✐✲✐♥✜♥✐t❡✳ ❚❤❡ s♦❧✉t✐♦♥ ♦❢ t❤❡ ✐♥✈❡rs❡ ♣r♦❜❧❡♠ ✐♥ t❤✐s st✉❞② ❛✐♠s t♦ ❡st✐♠❛t❡ ❞✐✛❡r❡♥t ❦✐♥❞s ♦❢ ❤❡❛t ✢✉① ❛♣♣❧✐❡❞ t♦ ♦♥❡✲❞✐♠❡♥s✐♦♥❛❧ ♠♦❞❡❧s✳ ❘❡❞✉❝t✐♦♥ t❡❝❤♥✐q✉❡s ❛r❡ ❜❛s❡❞ ♦♥ t❤❡ ❝♦♥❝❡♣ts ♦❢ ❤❡❛t ♣❡♥❡tr❛t✐♦♥ ❛♥❞ ❞❡✈✐❛t✐♦♥ t✐♠❡s✳ ❆♥❛❧②t✐❝❛❧ s♦❧✉t✐♦♥s ♦❢ ✶❉ ♠♦❞❡❧s✱ t♦ ❜❡ st✉❞✐❡❞✱ ❛r❡ ♦❜t❛✐♥❡❞ ✉s✐♥❣ t❤❡ ●r❡❡♥✬s ❢✉♥❝t✐♦♥s ♠❡t❤♦❞✳ ❆♥❛❧②s✐s ❛r❡ ❛♣♣❧✐❡❞ t♦ s❛♠♣❧❡s ♦❢ P♦❧②✈✐♥②❧ ❈❤❧♦r✐❞❡ ✭P❱❈✮ ❛♥❞ ❝❡♠❡♥t❡❞ ❝❛r❜✐❞❡✳ ❚❤❡ ✐♥✈❡rs❡ t❡❝❤♥✐q✉❡ ❛♣♣❧✐❡❞ ✇❛s ❚❋❇●❋ ✭❚r❛♥s❢❡r ❋✉♥❝t✐♦♥ ❇❛s❡❞ ♦♥ ●r❡❡♥✬s ❋✉♥❝t✐♦♥s✮✱ ✉s✐♥❣ t❤❡ ✐♠♣✉❧s❡ r❡s♣♦♥s❡ ♦❢ t❤❡ s❡♠✐✲✐♥✜♥✐t❡ ♠♦❞❡❧ ❢r♦♠ t❤❡ ❤❡❛t ♣❡♥❡tr❛t✐♦♥ t✐♠❡ ✉♥t✐❧ t❤❡ ❤❡❛t ❞❡✈✐❛t✐♦♥ t✐♠❡✳ ❘❡s✉❧ts ♦❢ t❤❡ ✐♥✈❡rs❡ ♣r♦❜❧❡♠s✱ ✇✐t❤ s✐♠✉❧❛t❡❞ ♦r ❡①♣❡r✐♠❡♥t❛❧ ❞❛t❛✱ ✇❡r❡ s❛t✐s❢❛❝t♦r② ✐♥ ❤❡❛t ✢✉① ❡st✐♠❛t❡✱ ✈❛❧✐❞❛t✐♥❣ t❤❡ t❡❝❤♥✐q✉❡ ❜❛s❡❞ ♦♥ ❤❡❛t ♣❡♥❡tr❛t✐♦♥ ❛♥❞ ❞❡✈✐❛t✐♦♥ t✐♠❡s✳

(8)

▲✐st❛ ❞❡ ❋✐❣✉r❛s

✸✳✶ ❘❡♣r❡s❡♥t❛çã♦ ❡sq✉❡♠át✐❝❛ ❞♦ ♠♦❞❡❧♦ ❳✷✸✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✸

✸✳✷ ❘❡♣r❡s❡♥t❛çã♦ ❞❡ ✉♠ ✢✉①♦ ❞✐s❝r❡t♦✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✺

✸✳✸ ❘❡♣r❡s❡♥t❛çã♦ ❡sq✉❡♠át✐❝❛ ❞♦ ♠♦❞❡❧♦ ❳✷✵✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✻

✸✳✹ ❉✐❢❡r❡♥t❡s t✐♣♦s ❞❡ ✢✉①♦ ✐♠♣♦st♦s ❡♠ ①❂✵ ♥♦ ♠♦❞❡❧♦ ❳✷✸ ♣❛r❛ ❝♦♠♣❛r❛çã♦ ❞♦s t❡♠♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r✿ ❛✮ ❙❡♥♦✐❞❛❧❀ ❜✮ ❘❛♠♣❛ ❡ ❝✮

❈♦♥st❛♥t❡✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✼

✸✳✺ ❚❡♠♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r ♣❛r❛ ❞✐❢❡r❡♥t❡s t✐♣♦s ❞❡ ✢✉①♦ ❛♣❧✐❝❛❞♦s

❛♦ ♠♦❞❡❧♦ ❳✷✸✳ ❛✮ ❙❡♥♦✐❞❛❧❀ ❜✮ ❘❛♠♣❛ ❡ ❝✮ ❈♦♥st❛♥t❡✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✾

✸✳✻ ❊✈♦❧✉çã♦ ❞❛ t❡♠♣❡r❛t✉r❛ ♥❛ s✉♣❡r❢í❝✐❡ ✭①❂✵✮ ❞♦s ♠♦❞❡❧♦s ❳✷✵✱ ❳✷✶✱ ❳✷✷ ❡

❳✷✸✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✹

✸✳✼ ❆♣r♦①✐♠❛çã♦ ❞❛ ❡✈♦❧✉çã♦ ❞❛ t❡♠♣❡r❛t✉r❛ ❞♦ ♠♦❞❡❧♦ ❳✷✸ ❛ ❞♦ ❳✷✵✳ ✳ ✳ ✳ ✳ ✳ ✷✺

✸✳✽ ❘❡♣r❡s❡♥t❛çã♦ ❞❡ ✉♠ s✐st❡♠❛ ❞✐♥â♠✐❝♦ ❞❡ ✉♠❛ ❡♥tr❛❞❛ ❡ ✉♠❛ s❛í❞❛✳ ✳ ✳ ✳ ✳ ✷✼

✸✳✾ ❘❡♣r❡s❡♥t❛çã♦ ❞❡ ✉♠ s✐st❡♠❛ ❞✐♥â♠✐❝♦ ❞❡ ✉♠❛ ❡♥tr❛❞❛ ❡ ✉♠❛ s❛í❞❛✱ ♣❛r❛ ♦

♣r♦❜❧❡♠❛ ✐♥✈❡rs♦✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✾

✹✳✶ ❚❡st❡ ✶✿ ❊st✐♠❛t✐✈❛s ♣❛r❛ ♦ P❱❈ ✉s❛♥❞♦ t❡♠♣❡r❛t✉r❛s s✐♠✉❧❛❞❛s ❡♠ ①❂✵ ♠♠✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❝✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❞✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛

t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✼

✹✳✷ ❚❡st❡ ✶✿ ❊st✐♠❛t✐✈❛s ♣❛r❛ ♦ P❱❈ ✉s❛♥❞♦ t❡♠♣❡r❛t✉r❛s s✐♠✉❧❛❞❛s ❡♠ ①❂✷ ♠♠✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❝✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❞✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛

t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✽

✹✳✸ ❚❡st❡ ✶✿ ❊st✐♠❛t✐✈❛s ♣❛r❛ ♦ P❱❈ ✉s❛♥❞♦ t❡♠♣❡r❛t✉r❛s s✐♠✉❧❛❞❛s ❡♠ ①❂✹ ♠♠✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❝✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❞✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛

t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✾

✹✳✹ ❚❡st❡ ✶✿ ❊st✐♠❛t✐✈❛s ♣❛r❛ ♦ ♠❡t❛❧ ❞✉r♦ ✉s❛♥❞♦ t❡♠♣❡r❛t✉r❛s s✐♠✉❧❛❞❛s ❡♠ ①❂✷ ♠♠✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❝✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❞✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛

t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✵

(9)

✐✐

✹✳✺ ❚❡st❡ ✷✿ ❊st✐♠❛t✐✈❛s ♣❛r❛ ♦ P❱❈ ✉s❛♥❞♦ t❡♠♣❡r❛t✉r❛s s✐♠✉❧❛❞❛s ❡♠ ①❂✵ ♠♠✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦ ♣❛r❛ t♦❞♦ ♦ ✐♥t❡r✈❛❧♦❀ ❝✮ ❊rr♦ ❛❜✲ s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦ ❞❡s❝♦♥s✐❞❡r❛♥❞♦ ❛s ú❧t✐♠❛s ❡st✐♠❛t✐✈❛s❀ ❞✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❡✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡s✲ t✐♠❛❞❛ ♣❛r❛ t♦❞♦ ✐♥t❡r✈❛❧♦❀ ❢✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧

s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛ ❞❡s❝♦♥s✐❞❡r❛♥❞♦ ❛s ú❧t✐♠❛s ❡st✐♠❛t✐✈❛s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✶

✹✳✻ ❚❡st❡ ✷✿ ❊st✐♠❛t✐✈❛s ♣❛r❛ ♦ P❱❈ ✉s❛♥❞♦ t❡♠♣❡r❛t✉r❛s s✐♠✉❧❛❞❛s ❡♠ ①❂✷ ♠♠✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦ ♣❛r❛ t♦❞♦ ♦ ✐♥t❡r✈❛❧♦❀ ❝✮ ❊rr♦ ❛❜✲ s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦ ❞❡s❝♦♥s✐❞❡r❛♥❞♦ ❛s ú❧t✐♠❛s ❡st✐♠❛t✐✈❛s❀ ❞✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❡✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡s✲ t✐♠❛❞❛ ♣❛r❛ t♦❞♦ ✐♥t❡r✈❛❧♦❀ ❢✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧

s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛ ❞❡s❝♦♥s✐❞❡r❛♥❞♦ ❛s ú❧t✐♠❛s ❡st✐♠❛t✐✈❛s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✷

✹✳✼ ❚❡st❡ ✷✿ ❊st✐♠❛t✐✈❛s ♣❛r❛ ♦ P❱❈ ✉s❛♥❞♦ t❡♠♣❡r❛t✉r❛s s✐♠✉❧❛❞❛s ❡♠ ①❂✹ ♠♠✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦ ♣❛r❛ t♦❞♦ ♦ ✐♥t❡r✈❛❧♦❀ ❝✮ ❊rr♦ ❛❜✲ s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦ ❞❡s❝♦♥s✐❞❡r❛♥❞♦ ❛s ú❧t✐♠❛s ❡st✐♠❛t✐✈❛s❀ ❞✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❡✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡s✲ t✐♠❛❞❛ ♣❛r❛ t♦❞♦ ✐♥t❡r✈❛❧♦❀ ❢✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧

s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛ ❞❡s❝♦♥s✐❞❡r❛♥❞♦ ❛s ú❧t✐♠❛s ❡st✐♠❛t✐✈❛s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✸

✹✳✽ ❚❡st❡ ✷✿ ❊st✐♠❛t✐✈❛s ♣❛r❛ ♦ ♠❡t❛❧ ❞✉r♦ ✉s❛♥❞♦ t❡♠♣❡r❛t✉r❛s s✐♠✉❧❛❞❛s ❡♠ ①❂✷ ♠♠✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦ ♣❛r❛ t♦❞♦ ♦ ✐♥t❡r✈❛❧♦❀ ❝✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦ ❞❡s❝♦♥s✐❞❡r❛♥❞♦ ❛s ú❧t✐♠❛s ❡st✐♠❛t✐✈❛s❀ ❞✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉✲ ❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❡✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛ ♣❛r❛ t♦❞♦ ✐♥t❡r✈❛❧♦❀ ❢✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡✲

r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛ ❞❡s❝♦♥s✐❞❡r❛♥❞♦ ❛s ú❧t✐♠❛s ❡st✐♠❛t✐✈❛s✳ ✳ ✳ ✳ ✹✹

✹✳✾ ❚❡st❡ ✸✿ ❊st✐♠❛t✐✈❛s ♣❛r❛ ♦ P❱❈ ✉s❛♥❞♦ t❡♠♣❡r❛t✉r❛s s✐♠✉❧❛❞❛s ❡♠ ①❂✵ ♠♠✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❝✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❞✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛

t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✺

✹✳✶✵ ❚❡st❡ ✸✿ ❊st✐♠❛t✐✈❛s ♣❛r❛ ♦ P❱❈ ✉s❛♥❞♦ t❡♠♣❡r❛t✉r❛s s✐♠✉❧❛❞❛s ❡♠ ①❂✷ ♠♠✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❝✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❞✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛

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✐✐✐

✹✳✶✶ ❚❡st❡ ✸✿ ❊st✐♠❛t✐✈❛s ♣❛r❛ ♦ P❱❈ ✉s❛♥❞♦ t❡♠♣❡r❛t✉r❛s s✐♠✉❧❛❞❛s ❡♠ ①❂✹ ♠♠✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❝✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❞✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛

t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✼

✹✳✶✷ ❚❡st❡ ✸✿ ❊st✐♠❛t✐✈❛s ♣❛r❛ ♦ ♠❡t❛❧ ❞✉r♦ ✉s❛♥❞♦ t❡♠♣❡r❛t✉r❛s s✐♠✉❧❛❞❛s ❡♠ ①❂✷ ♠♠✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❝✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❞✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛

t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✽

✺✳✶ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ♣❛r❛ ❛ ♣♦s✐çã♦ ①❂✷ ♠♠ s❡♠ tr❛t❛♠❡♥t♦ ❞♦s ❞❛❞♦s✳

❛✮ ❆té ♦ t❡♠♣♦ ❞❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r❀ ❜✮ Pr✐♠❡✐r♦s ✹✵ s❡❣✉♥❞♦s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✵

✺✳✷ ▼♦❞❡❧♦ ❳✷✷ ❝♦♠ s❡♥s♦r ♥❛ ♣♦s✐çã♦ ①❂✷ ♠♠ ❡ ❝♦rt❡ ❡♠ ✹ s❡❣✉♥❞♦s ♥❛ r❡s♣♦st❛ ✐♠♣✉❧s✐✈❛✳ ❛✮ ❊st✐♠❛t✐✈❛ ❞♦ ✢✉①♦ ❞❡ ❝❛❧♦r❀ ❜✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡st✐♠❛❞❛ ❡ ❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛❀ ❝✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛

❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✶

✺✳✸ ▼♦❞❡❧♦ ❳✷✷ ❝♦♠ s❡♥s♦r ♥❛ ♣♦s✐çã♦ ①❂✷ ♠♠✱ ❝♦rt❡ ❡♠ ✹ s❡❣✉♥❞♦s ♥❛ r❡s♣♦st❛ ✐♠♣✉❧s✐✈❛ ❡ ◆ ❂✶✵ ♣❛r❛ ♦ ✜❧tr♦✳ ❛✮ ❊st✐♠❛t✐✈❛ ❞♦ ✢✉①♦ ❞❡ ❝❛❧♦r❀ ❜✮ ❈♦♠♣❛r❛çã♦

❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡st✐♠❛❞❛ ❡ ❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✷

✺✳✹ ▼♦❞❡❧♦ ❳✷✷ ❝♦♠ s❡♥s♦r ♥❛ ♣♦s✐çã♦ ①❂✷ ♠♠✱ ❝♦rt❡ ❡♠ ✹ s❡❣✉♥❞♦s ♥❛ r❡s♣♦st❛ ✐♠♣✉❧s✐✈❛ ❡ ❛❧❣✉♥s ✈❛❧♦r❡s ❞❡ ♥ ♣❛r❛ ♦ ✜❧tr♦✳ ❛✮ ❡ ❜✮ ◆ ❂✷✵❀ ❝✮ ❡ ❞✮ ◆ ❂✸✵❀ ❡✮

❡ ❢✮ ◆ ❂✺✵✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✸

✺✳✺ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ♣❛r❛ ❛ ♣♦s✐çã♦ ①❂✷ ♠♠✱ t❡♠♣♦ ❞❡ ❝♦rt❡ ❡♠ t❂✹s ❡ ✷✸ ♣♦♥t♦s ♣❛r❛ ♦ ✜❧tr♦ ♠é❞✐❛ ♠ó✈❡❧✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❝✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❞✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛

❡st✐♠❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✹

✺✳✻ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ♣❛r❛ ❛ ♣♦s✐çã♦ ①❂✵ ♠♠ ❝♦♠ ✷✹ ♣♦♥t♦s ♣❛r❛ ♠é❞✐❛ ♠ó✈❡❧ ❝♦♠ ✉♠ ❞t❂✶ s✳ ❛✮ ❊st✐♠❛t✐✈❛ ❞♦ ✢✉①♦ ❞❡ ❝❛❧♦r❀ ❜✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡

❛ t❡♠♣❡r❛t✉r❛ ❡st✐♠❛❞❛ ❡ ❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✺

✺✳✼ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ♣❛r❛ ❛ ♣♦s✐çã♦ ①❂✵ ♠♠ ❡ ✽✵ ♣♦♥t♦s ♣❛r❛ ♠é❞✐❛ ♠ó✈❡❧ ❝♦♠ ✉♠ ❞t❂✵✱✷✺ s✳ ❛✮ ❊st✐♠❛t✐✈❛ ❞♦ ✢✉①♦ ❞❡ ❝❛❧♦r❀ ❜✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛

t❡♠♣❡r❛t✉r❛ ❡st✐♠❛❞❛ ❡ ❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✺

✺✳✽ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ♣❛r❛ ❛ ♣♦s✐çã♦ ①❂✷ ♠♠✱ t❡♠♣♦ ❞❡ ❝♦rt❡ ❡♠ t❂✹s ❡ ✷✸ ♣♦♥t♦s ♣❛r❛ ♠é❞✐❛ ♠ó✈❡❧ ✉s❛♥❞♦ ❛ r❡s♣♦st❛ ✐♠♣✉❧s✐✈❛ ❞♦ ♠♦❞❡❧♦ ❳✷✷✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❡ ♦ s✐♠✉❧❛❞♦❀ ❝✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛✲ t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛ ❡st✐♠❛❞❛❀ ❞✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛

(11)

✐✈

✺✳✾ ❈♦♠♣❛r❛t✐✈♦ ❞❛s ❡st✐♠❛t✐✈❛s r❡❛❧✐③❛❞❛s ❝♦♠ ❛ r❡s♣♦st❛ ❍❳✷✷ ❡ ❍❳✷✵✱ r❡❛❧✐✲ ③❛♥❞♦ ❡♠ ❛♠❜❛s ♦s ♠❡s♠♦s ♣r♦❝❡❞✐♠❡♥t♦s✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦s ✢✉①♦s ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦s ❡ ♦ s✐♠✉❧❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦s ❞❡ ❝❛❧♦r ❡st✐♠❛✲ ❞♦s ❡ ♦ s✐♠✉❧❛❞♦❀ ❝✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ❡ ❛s ❡st✐♠❛❞❛s❀ ❞✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛

❡ ❛s ❡st✐♠❛❞❛s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✼

✻✳✶ ❘❡♣r❡s❡♥t❛çã♦ ❡sq✉❡♠át✐❝❛ ❞♦ ❛♣❛r❛t♦ ❡①♣❡r✐♠❡♥t❛❧✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺✾

✻✳✷ ❆♣❛r❛t♦ ❡①♣❡r✐♠❡♥t❛❧✿ ❛✮ ❇❛♥❝❛❞❛❀ ❜✮ ❱✐st❛ ❢r♦♥t❛❧✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✵

✻✳✸ ❉❛❞♦s ❡①♣❡r✐♠❡♥t❛✐s✳ ❛✮ ❋❧✉①♦ ❞❡ ❝❛❧♦r❀ ❜✮ ❚❡♠♣❡r❛t✉r❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✶

✻✳✹ ❉❛❞♦s ❡①♣❡r✐♠❡♥t❛✐s✱ ❛♣ós ♦ ✐♥í❝✐♦ ❞♦ ❛q✉❡❝✐♠❡♥t♦✱ q✉❡ s❡rã♦ ✉s❛❞♦ ♣❛r❛ ❛ s♦❧✉çã♦ ❞♦ ♣r♦❜❧❡♠❛ ✐♥✈❡rs♦ ❝♦♥s✐❞❡r❛♥❞♦ ♦ ♠♦❞❡❧♦ s❡♠✐✲✐♥✜♥✐t♦ ✉♥✐❞✐♠❡♥s✐✲

♦♥❛❧✳ ❛✮ ❋❧✉①♦ ❞❡ ❝❛❧♦r❀ ❜✮ ❚❡♠♣❡r❛t✉r❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✷

✻✳✺ ❊st✐♠❛t✐✈❛ ❞♦ ✢✉①♦ à ♣❛rt✐r ❞❛s t❡♠♣❡r❛t✉r❛s ❡①♣❡r✐♠❡♥t❛✐s✱ ✉s❛♥❞♦ ❛ r❡s✲ ♣♦st❛ ✐♠♣✉❧s✐✈❛ ❞♦ s❡♠✐✲✐♥✜♥✐t♦✳ ❛✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ♠❡❞✐❞♦ ❡ ♦ ❡st✐♠❛❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ♠❡❞✐❞♦ ❡ ♦ ❡st✐♠❛❞♦❀ ❝✮ ❈♦♠♣❛r❛çã♦ ❡♥tr❡ ❛s t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ ❡ ❛ ❡st✐♠❛❞❛❀ ❞✮ ❊rr♦ ❛❜s♦❧✉t♦

❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ ❡ ❛ ❡st✐♠❛❞❛✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻✷

✻✳✻ ❈♦♠♣❛r❛t✐✈♦ ❡♥tr❡ ♦s ✢✉①♦s ❡st✐♠❛❞♦s ♣❡❧♦ ♠♦❞❡❧♦ ✸❉ ❡ ✶❉✳ ❛✮ ❋❧✉①♦s ❡st✐✲

♠❛❞♦s ❡ ♠❡❞✐❞♦❀ ❜✮ ❊rr♦ ❛❜s♦❧✉t♦ ❡♥tr❡ ♦s ✢✉①♦s ❡st✐♠❛❞♦s ❡ ♠❡❞✐❞♦✳ ✳ ✳ ✳ ✳ ✻✸

❆✳✶ ❚❡st❡ ✶✿ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❞♦ t✐♣♦ ❡①♣♦♥❡♥❝✐❛❧ ❡①tr❛♣♦❧❛♥❞♦ ♦ t❡♠♣♦

❞❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r ♥♦ P❱❈ ❡♠ ①❂✵✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✵

❆✳✷ ❚❡st❡ ✶✿ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❞♦ t✐♣♦ ❡①♣♦♥❡♥❝✐❛❧ ❡①tr❛♣♦❧❛♥❞♦ ♦ t❡♠♣♦

❞❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r ♥♦ ♠❡t❛❧ ❞✉r♦ ❡♠ ①❂✵✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✵

❆✳✸ ❚❡st❡ ✷✿ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❞♦ t✐♣♦ s❡♥♦✐❞❛❧ ❡①tr❛♣♦❧❛♥❞♦ ♦ t❡♠♣♦ ❞❡

❞❡s✈✐♦ ❞❡ ❝❛❧♦r ♥♦ P❱❈ ❡♠ ①❂✷ ♠♠✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✶

❆✳✹ ❚❡st❡ ✷✿ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❞♦ t✐♣♦ s❡♥♦✐❞❛❧ ❡①tr❛♣♦❧❛♥❞♦ ♦ t❡♠♣♦ ❞❡

❞❡s✈✐♦ ❞❡ ❝❛❧♦r ♥♦ ♠❡t❛❧ ❞✉r♦ ❡♠ ①❂✷ ♠♠✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✷

❆✳✺ ❚❡st❡ ✷✿ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❞♦ t✐♣♦ ❝♦♥st❛♥t❡ ❡①tr❛♣♦❧❛♥❞♦ ♦ t❡♠♣♦ ❞❡

❞❡s✈✐♦ ❞❡ ❝❛❧♦r ♥♦ P❱❈ ❡♠ ①❂✷ ♠♠✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✷

❆✳✻ ❚❡st❡ ✷✿ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❞♦ t✐♣♦ ❝♦♥st❛♥t❡ ❡①tr❛♣♦❧❛♥❞♦ ♦ t❡♠♣♦ ❞❡

❞❡s✈✐♦ ❞❡ ❝❛❧♦r ♥♦ ♠❡t❛❧ ❞✉r♦ ❡♠ ①❂✷ ♠♠✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✸

❆✳✼ ❚❡st❡ ✸✿ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❞♦ t✐♣♦ tr✐❛♥❣✉❧❛r ❡①tr❛♣♦❧❛♥❞♦ ♦ t❡♠♣♦ ❞❡

❞❡s✈✐♦ ❞❡ ❝❛❧♦r ♥♦ P❱❈ ❡♠ ①❂✹ ♠♠✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✼✹

❆✳✽ ❚❡st❡ ✸✿ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❡st✐♠❛❞♦ ❞♦ t✐♣♦ tr✐❛♥❣✉❧❛r ❡①tr❛♣♦❧❛♥❞♦ ♦ t❡♠♣♦ ❞❡

(12)

▲✐st❛ ❞❡ ❚❛❜❡❧❛s

✸✳✶ Pr♦❜❧❡♠❛s ❚ér♠✐❝♦s ❯♥✐❞✐♠❡♥s✐♦♥❛✐s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✵

✸✳✷ Pr♦♣r✐❡❞❛❞❡s tér♠✐❝❛s ❞♦ P❱❈ ❡ ♠❡t❛❧ ❞✉r♦ ■❙❖ ❑✶✵✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✶

✸✳✸ ❚❡♠♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❞❡ ❝❛❧♦r ✭tpen✮ ❬s❪✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✷

✸✳✹ ❚❡♠♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❞❡ ❝❛❧♦r ❛❞✐♠❡♥s✐♦♥❛✐s ✭t+

pen✮✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✸

✸✳✺ ❚❡♠♣♦s ❞❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r ✭tdesv✮ ❬s❪✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✺

✸✳✻ ❚❡♠♣♦s ❞❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r ❛❞✐♠❡♥s✐♦♥❛✐s ✭t+desv✮✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✻

✹✳✶ Pr♦❜❧❡♠❛s ❚ér♠✐❝♦s ❯♥✐❞✐♠❡♥s✐♦♥❛✐s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✵

✹✳✷ ❋♦r♠❛ ❡ ✐♥t❡♥s✐❞❛❞❡ ❞❡ ✢✉①♦s ❞❡ ❝❛❧♦r ✐♠♣♦st♦s ❡♠ ❝❛❞❛ ♠♦❞❡❧♦✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✶

✹✳✸ ❚❡♠♣❡r❛t✉r❛s ❡①♣❡r✐♠❡♥t❛✐s s✐♠✉❧❛❞❛s ♣❛r❛ ♦ ♠♦❞❡❧♦ ❳✷✶ ❡ ❛♠♦str❛s ❞❡ P❱❈

❡ ♠❡t❛❧ ❞✉r♦✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✸

✹✳✹ ❚❡♠♣❡r❛t✉r❛s ❡①♣❡r✐♠❡♥t❛✐s s✐♠✉❧❛❞❛s ♣❛r❛ ♦ ♠♦❞❡❧♦ ❳✷✷ ❡ ❛♠♦str❛s ❞❡ P❱❈

❡ ♠❡t❛❧ ❞✉r♦✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✹

✹✳✺ ❚❡♠♣❡r❛t✉r❛s ❡①♣❡r✐♠❡♥t❛✐s s✐♠✉❧❛❞❛s ♣❛r❛ ♦ ♠♦❞❡❧♦ ❳✷✸ ❡ ❛♠♦str❛s ❞❡ P❱❈

❡ ♠❡t❛❧ ❞✉r♦✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✺

✺✳✶ ▼♦❞❡❧♦ tér♠✐❝♦ ❳✷✷ ❝♦♠ ✢✉①♦ s❡♥♦✐❞❛❧ ✐♠♣♦st♦ ❡♠ ①❂ ✵ ❡ t❡♠♣❡r❛t✉r❛ ❝❛❧✲

❝✉❧❛❞❛ ❡♠ ①❂ ✷ ♠♠✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✾

(13)

▲✐st❛ ❞❡ ❙í♠❜♦❧♦s

T ✲ ❚❡♠♣❡r❛t✉r❛✱ [oC]

x ✲ P♦s✐çã♦ ♥♦ ♠♦❞❡❧♦✱[m]✳

t ✲ ❚❡♠♣♦✱ [s]✳

θ ✲ ❱❛r✐á✈❡❧ ❛✉①✐❧✐❛r✳

XIJ ✲ ▼♦❞❡❧♦ q✉❡ ❝♦♥s✐❞❡r❛ ❝♦♥❞✉çã♦ ❞❡ ❝❛❧♦r ♥❛ ❞✐r❡çã♦ ❳✱ ❝♦♠ ❝♦♥❞✐çã♦ ❞❡

❝♦♥t♦r♥♦ ❞♦ t✐♣♦ ■ ❡♠ ①❂✵ ❡ ❞♦ t✐♣♦ ❏ ❡♠ ①❂▲✳

n ✲ ❊①♣♦❡♥t❡ ❞♦ ❧✐♠✐t❡ ❞❡ ♦r❞❡♠ ❞❡❝✐♠❛❧ ❛❝❡✐tá✈❡❧✳

T∞ ✲ ❚❡♠♣❡r❛t✉r❛ ❛♠❜✐❡♥t❡✱ [oC]✳

L ✲ ❈♦♠♣r✐♠❡♥t♦ ❞♦ ♠♦❞❡❧♦ ♥❛ ❞✐r❡çã♦ ❳✱ [m]✳

q′′

(t) ✲ ❋❧✉①♦ ❞❡ ❝❛❧♦r ✈❛r✐❛♥❞♦ ♥♦ t❡♠♣♦✱ [mW2]✳

h ✲ ❈♦❡✜❝✐❡♥t❡ ❞❡ tr♦❝❛ ❞❡ ❝❛❧♦r ♣♦r ❝♦♥✈❡❝çã♦✱ [mW2K]✳

α ✲ ❉✐❢✉s✐✈✐❞❛❞❡ tér♠✐❝❛ ❞♦ ♠❛t❡r✐❛❧✱ [m2

s ]✳

k ✲ ❈♦♥❞✉t✐✈✐❞❛❞❡ tér♠✐❝❛ ❞♦ ♠❛t❡r✐❛❧✱ [mW2K]✳

GXIJ ✲ ❋✉♥çã♦ ❞❡ ●r❡❡♥ ❞♦ ♠♦❞❡❧♦ ❳■❏✳

βm ✲ ❆✉t♦✈❛❧♦r❡s ❛ss♦❝✐❛❞♦s à ❢✉♥çã♦ ❞❡ ●r❡❡♥✳

Bi ✲ ◆ú♠❡r♦ ❞❡ ❇✐♦t✳

q′′

0 ✲ ❋❧✉①♦ ❞❡ ❝❛❧♦r ❞♦ t✐♣♦ ❝♦♥st❛♥t❡✱ [mW2]✳

(14)

✈✐✐

T0 ✲ ❚❡♠♣❡r❛t✉r❛ ✐♥✐❝✐❛❧✱ [oC]✳

tpen ✲ ❚❡♠♣♦ ❞❡ ♣❡♥❡tr❛çã♦ ❞❡ ❝❛❧♦r✱ ❬s❪✳

t+

pen ✲ ❚❡♠♣♦ ❞❡ ♣❡♥❡tr❛çã♦ ❞❡ ❝❛❧♦r ❛❞✐♠❡♥s✐♦♥❛❧✳

x∗ ✲ P♦s✐çã♦ ❛❞✐♠❡♥s✐♦♥❛❧✳

tdesv ✲ ❚❡♠♣♦ ❞❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r✱ ❬s❪✳

t+desv ✲ ❚❡♠♣♦ ❞❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r ❛❞✐♠❡♥s✐♦♥❛❧✳

h(x, t) ✲ ❘❡s♣♦st❛ ✐♠♣✉❧s✐✈❛✳

H(x, s) ✲ ❋✉♥çã♦ tr❛♥s❢❡rê♥❝✐❛✳

Y ✲ ❚❡♠♣❡r❛t✉r❛ ❡①♣❡r✐♠❡♥t❛❧ s✐♠✉❧❛❞❛ ✭❝♦♠ r✉í❞♦✮✱ [oC]

ǫ ✲ ❊rr♦ ❛❧❡❛tór✐♦ ❛❞✐❝✐♦♥❛❞♦ ♥❛ t❡♠♣❡r❛t✉r❛✱ [oC]

hXIJ ✲ ❘❡s♣♦st❛ ✐♠♣✉❧s✐✈❛ ❞♦ ♠♦❞❡❧♦ ❳■❏✳

N ✲ ◆ú♠❡r♦ ❞❡ ♣♦♥t♦s ✉s❛❞♦ ♥♦ ✜❧tr♦ ♠é❞✐❛ ♠ó✈❡❧✳

dt ✲ ❉✐s❝r❡t✐③❛çã♦ t❡♠♣♦r❛❧✱ ❬s❪✳

(15)

❙✉♠ár✐♦

✶ ■♥tr♦❞✉çã♦ ✶

✷ ❘❡✈✐sã♦ ❇✐❜❧✐♦❣rá✜❝❛ ✸

✸ ❋✉♥❞❛♠❡♥t♦s ❚❡ór✐❝♦s ✶✶

✸✳✶ ❚❡♠♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✶

✸✳✷ ❆♥á❧✐s❡ ❞❛ ✐♥✢✉ê♥❝✐❛ ❞❡ ❞✐❢❡r❡♥t❡s t✐♣♦s ❞❡ ✢✉①♦ ♥♦ ❝á❧❝✉❧♦ ❞♦s t❡♠♣♦s ❞❡

♣❡♥❡tr❛çã♦ ❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✸

✸✳✸ ❈á❧❝✉❧♦ ❞♦s t❡♠♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r ♣❛r❛ ❞✐❢❡r❡♥t❡s t✐♣♦s ❞❡

❝♦♥❞✐çã♦ ❞❡ ❝♦♥t♦r♥♦ ✐♥❛t✐✈❛ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✵

✸✳✹ ▼ét♦❞♦ ❚❋❇●❋ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✼

✹ Pr♦❜❧❡♠❛ ■♥✈❡rs♦✿ ❆♣❧✐❝❛çã♦ ❡♠ ❚❡st❡s ❙✐♠✉❧❛❞♦s ✸✵

✹✳✶ ❊st✐♠❛t✐✈❛s ✉s❛♥❞♦ ♠♦❞❡❧♦ s✐♠♣❧✐✜❝❛❞♦ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✵

✹✳✷ ❚❡st❡s✿ ❊st✐♠❛t✐✈❛s ❞❡ ❋❧✉①♦ ❞❡ ❈❛❧♦r ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✻

✹✳✷✳✶ ❚❡st❡ ✶✿ ▼♦❞❡❧♦ ❳✷✶ ❝♦♠ ✢✉①♦ ❞❡ ❝❛❧♦r ❞♦ t✐♣♦ ❡①♣♦♥❡♥❝✐❛❧ ✳ ✳ ✳ ✳ ✳ ✸✻

✹✳✷✳✷ ❚❡st❡ ✷✿ ▼♦❞❡❧♦ ❳✷✷ ❝♦♠ ✢✉①♦ ❞❡ ❝❛❧♦r ❞♦ t✐♣♦ ❝♦♥st❛♥t❡ ✳ ✳ ✳ ✳ ✳ ✳ ✹✵

✹✳✷✳✸ ❚❡st❡ ✸✿ ▼♦❞❡❧♦ ❳✷✸ ❝♦♠ ✢✉①♦ ❞❡ ❝❛❧♦r ❞♦ t✐♣♦ tr✐❛♥❣✉❧❛r ✳ ✳ ✳ ✳ ✳ ✳ ✹✹

✺ ❆♥á❧✐s❡ ❞❡ ❙❡♥s✐❜✐❧✐❞❛❞❡ ♣❛r❛ ❛ ❚é❝♥✐❝❛ ■♥✈❡rs❛ ❚❋❇●❋ ✹✾

✻ Pr♦❜❧❡♠❛ ■♥✈❡rs♦✿ ❆♣❧✐❝❛çã♦ ❡♠ ✉♠ ❚❡st❡ ❊①♣❡r✐♠❡♥t❛❧ ✺✽

✼ ❈♦♥❝❧✉sã♦ ✻✹

❘❡❢❡rê♥❝✐❛s ❇✐❜❧✐♦❣rá✜❝❛s ✻✻

❆ ❊①tr❛♣♦❧❛♥❞♦ ♦ t❡♠♣♦ ❞❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r ✻✾

❆✳✵✳✶ ❚❡st❡ ✶✿ ▼♦❞❡❧♦ ❳✷✶ ❝♦♠ ✢✉①♦ ❞❡ ❝❛❧♦r ❞♦ t✐♣♦ ❡①♣♦♥❡♥❝✐❛❧ ✳ ✳ ✳ ✳ ✳ ✻✾

❆✳✵✳✷ ❚❡st❡ ✷✿ ▼♦❞❡❧♦ ❳✷✷ ❝♦♠ ✢✉①♦ ❞❡ ❝❛❧♦r ❞♦ t✐♣♦ ❝♦♥st❛♥t❡ ♦✉ s❡♥♦✐❞❛❧ ✼✶

❆✳✵✳✸ ❚❡st❡ ✸✿ ▼♦❞❡❧♦ ❳✷✸ ❝♦♠ ✢✉①♦ ❞❡ ❝❛❧♦r ❞♦ t✐♣♦ tr✐❛♥❣✉❧❛r ✳ ✳ ✳ ✳ ✳ ✳ ✼✸

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❈❛♣ít✉❧♦ ✶

■♥tr♦❞✉çã♦

●❡r❛❧♠❡♥t❡ ❛ ❛♣❧✐❝❛çã♦ ♣rát✐❝❛ ❞❡ ♠♦❞❡❧♦s t❡ór✐❝♦s tér♠✐❝♦s q✉❡ s✐♠✉❧❛♠ ❞✐✈❡rs❛s ❛♣❧✐✲ ❝❛çõ❡s ❡ ♣r♦❝❡ss♦s ❡♠ ❡♥❣❡♥❤❛r✐❛✱ s❡ ♠♦str❛♠ ❜❛st❛♥t❡ ❝♦♠♣❧❡①❛s✳ ❆ ❜✉s❝❛ ❞❡ s♦❧✉çõ❡s ♠❛✐s s✐♠♣❧❡s ♣r♦♠♦✈❡♠ ✉♠ ♠❡❧❤♦r ❡♥t❡♥❞✐♠❡♥t♦ ❢ís✐❝♦ ❞♦ ♣r♦❜❧❡♠❛ ❜❡♠ ❝♦♠♦ t♦r♥❛ ❛s s♦❧✉çõ❡s ♠❛✐s ❛❝❡ssí✈❡✐s ❛ ✉♠ ♣ú❜❧✐❝♦ ♥ã♦ ❡s♣❡❝✐❛❧✐st❛✳

❆ ❣r❛♥❞❡ ♠❛✐♦r✐❛ ❞♦s ♣r♦❜❧❡♠❛s ❡♥❝♦♥tr❛❞♦s ♥❛ ♣rát✐❝❛ ❡♥✈♦❧✈❡ ♠♦❞❡❧♦s tr✐❞✐♠❡♥s✐♦♥❛✐s ❡ tr❛♥s✐❡♥t❡s✳ ◆❡st❡s ❝❛s♦s✱ ❛s s♦❧✉çõ❡s ♥✉♠ér✐❝❛s ♦✉ ❛♥❛❧ít✐❝❛s ❡♥✈♦❧✈✐❞❛s ❛♣r❡s❡♥t❛♠ ❝❡rt❛ ❝♦♠♣❧❡①✐❞❛❞❡✱ ♦ q✉❡ r❡q✉❡r ❤❛❜✐❧✐❞❛❞❡s ❡s♣❡❝í✜❝❛s ♣❛r❛ ❛ s✉❛ ✐♠♣❧❡♠❡♥t❛çã♦ ❡ ✉s♦✳ ❈♦♠♦ ❡①❡♠♣❧♦ ❞❡st❡s ❝❛s♦s ♣♦❞❡✲s❡ ❝✐t❛r✿ ♦ ❛q✉❡❝✐♠❡♥t♦ ❞❡ ✉♠❛ ❝❤❛♣❛ ❡♠ ✉♠ tr❛t❛♠❡♥t♦ tér♠✐❝♦ ♦✉ ❛✐♥❞❛ ❛ ❣❡r❛çã♦ ❞❡ ❝❛❧♦r ♥❛ ✐♥t❡r❢❛❝❡ ♣❡ç❛✲❢❡rr❛♠❡♥t❛ ❞✉r❛♥t❡ ✉♠ ♣r♦❝❡ss♦ ❞❡ ✉s✐♥❛❣❡♠ ♦✉ ❞❡ s♦❧❞❛❣❡♠✳

❖ ♣r❡s❡♥t❡ tr❛❜❛❧❤♦ t❡♠ ❝♦♠♦ ♦❜❥❡t✐✈♦ ❞❡s❡♥✈♦❧✈❡r té❝♥✐❝❛s q✉❡ ♣r♦♠♦✈❡♠ ❛ r❡❞✉çã♦ ❞❡ ♠♦❞❡❧♦s tér♠✐❝♦s✱ ❡ ❝♦♥s❡q✉❡♥t❡♠❡♥t❡ t♦r♥❛♠ ❛ s♦❧✉çã♦ ❞❡ ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s ❡♠ ❝♦♥❞✉çã♦ ❞❡ ❝❛❧♦r ♠❛✐s s✐♠♣❧❡s✳ ❚❛✐s té❝♥✐❝❛s s❡ ❜❛s❡✐❛♠ ♥♦s ❝♦♥❝❡✐t♦s ❞♦s t❡♠♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r✱ q✉❡ sã♦ ❛♣❧✐❝❛❞♦s ♣r✐♥❝✐♣❛❧♠❡♥t❡ ♥❛ ✈❡r✐✜❝❛çã♦ ✐♥trí♥s❡❝❛ ❞❡ s♦❧✉çõ❡s ❛♥❛❧ít✐❝❛s✳

❖s ♠♦❞❡❧♦s ❡st✉❞❛❞♦s ♥❡ss❡ tr❛❜❛❧❤♦ sã♦ ✉♥✐❞✐♠❡♥s✐♦♥❛✐s ❡ ❞❡ ❣❡♦♠❡tr✐❛ ✜♥✐t❛✳ ❆ ❝♦♠✲ ♣❧❡①✐❞❛❞❡ ❞❡st❡s ♠♦❞❡❧♦s r❡s✐❞❡ ♥❛ ✐♠♣♦s✐çã♦ ❞❡ ✢✉①♦s ❞❡ ❝❛❧♦r tr❛♥s✐❡♥t❡s ❝✉❥❛s s♦❧✉çõ❡s ❛♥❛❧ít✐❝❛s r❡q✉❡r❡♠ ❤❛❜✐❧✐❞❛❞❡s ❡ ❝♦♥❤❡❝✐♠❡♥t♦s ♠❛t❡♠át✐❝♦s ❡ ♥✉♠ér✐❝♦s✳ ❊st❡s sã♦ r❡❞✉③✐✲ ❞♦s ❛ ♠♦❞❡❧♦s s❡♠✐✲✐♥✜♥✐t♦s ♣❛r❛ ❛ s♦❧✉çã♦ ❞♦ ♣r♦❜❧❡♠❛ ✐♥✈❡rs♦ ❛ss♦❝✐❛❞♦✳ ❆ ♠♦t✐✈❛çã♦ ♣❛r❛ t❛❧ s✐♠♣❧✐✜❝❛çã♦ é ❥✉st✐✜❝❛❞❛ ♣❡❧♦ ♠♦❞❡❧♦ s❡♠✐✲✐♥✜♥✐t♦ ❛♣r❡s❡♥t❛r ✉♠❛ r❡s♣♦st❛ ✐♠♣✉❧s✐✈❛ ♠❛t❡♠❛t✐❝❛♠❡♥t❡ s✐♠♣❧❡s✱ ✉♠❛ s♦❧✉çã♦ ❝♦♠♣✉t❛❝✐♦♥❛❧ ❧✐✈r❡ ❞❡ s♦♠❛tór✐♦s✱ s❡r ✐♥❞❡♣❡♥❞❡♥t❡ ❞❛ ❣❡♦♠❡tr✐❛ ❡ ♥ã♦ ♥❡❝❡ss✐t❛r ❞❡ ✐♥❢♦r♠❛çõ❡s ❞♦ ❝♦♥t♦r♥♦ ✐♥❛t✐✈♦✳

❆ ♠❛✐♦r✐❛ ❞❡ tr❛❜❛❧❤♦s ❡♥❝♦♥tr❛❞♦s ♥❛ ❧✐t❡r❛t✉r❛ q✉❡ ♣r♦♠♦✈❡♠ ❛ r❡❞✉çã♦ ❞❡ ♠♦❞❡❧♦s✱ ✉s❛♠ ✉♠ ❛❧t♦ ✈❛❧♦r ❞❛ r❛③ã♦ ❞❡ ❛s♣❡❝t♦ ✭♣♦r ❡①❡♠♣❧♦✱ ❣r❛♥❞❡s ❞✐♠❡♥sõ❡s ❞❛ ❧❛r❣✉r❛ ❡♠

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r❡❧❛çã♦ ❛♦ ❝♦♠♣r✐♠❡♥t♦ ❞❛ ❛♠♦str❛✮ ♣❛r❛ ♠✐♥✐♠✐③❛r ❛s ♣❡r❞❛s ❞❡ ❝❛❧♦r ♥❛s ❜♦r❞❛s ❧❛t❡r❛✐s ❡ ❛ss❡❣✉r❛r ❛ ✉♥✐❞✐♠❡♥s✐♦♥❛❧✐❞❛❞❡✳ ❖✉ s❡❥❛✱ ✐♥t❡r❢❡r❡♠ ♥❛ ❣❡♦♠❡tr✐❛ ❞♦ ♣r♦❜❧❡♠❛✳

❆ ✐♠♣♦rtâ♥❝✐❛ ♥❛s ❛♥á❧✐s❡s r❡❛❧✐③❛❞❛s ♥❡st❡ tr❛❜❛❧❤♦ r❡s✐❞❡♠ ♥❛ ♠❡❧❤♦r ❝♦♠♣r❡❡♥sã♦ ❞♦s ❝♦♥❝❡✐t♦s ❞♦s t❡♠♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r ❡ ♥♦ ❞❡s❡♥✈♦❧✈✐♠❡♥t♦ ❞❡ té❝♥✐❝❛s q✉❡ ♣❡r♠✐t❛♠ ❛ r❡❞✉çã♦ ❞❡ ♠♦❞❡❧♦s tér♠✐❝♦s ❝♦♠♣❧❡①♦s ♣❛r❛ ❛ s♦❧✉çã♦ ❞❡ ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s✳

❊st❡ tr❛❜❛❧❤♦ é ❡str✉t✉r❛❞♦ ❞❛ s❡❣✉✐♥t❡ ❢♦r♠❛✿

❆♣r❡s❡♥t❛♠ ♥♦ s❡❣✉♥❞♦ ❝❛♣ít✉❧♦ ✉♠❛ r❡✈✐sã♦ ❜✐❜❧✐♦❣rá✜❝❛ s✉❝✐♥t❛ s♦❜r❡ ❞✐✈❡rs♦s tr❛❜❛❧❤♦s q✉❡ ♣r♦♠♦✈❡♠ ❛ r❡❞✉çã♦ ❞❡ ♠♦❞❡❧♦s✱ ❜❛s❡❛❞♦s ♣r✐♥❝✐♣❛❧♠❡♥t❡ ♥❛ r❛③ã♦ ❞❡ ❛s♣❡❝t♦ ♦✉ ♥❛ ❝♦♠♣❛r❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ❞♦ ♠♦❞❡❧♦ ♦r✐❣✐♥❛❧ ❝♦♠ ❛ ❞♦ r❡❞✉③✐❞♦✳

❖ t❡r❝❡✐r♦ ❝❛♣ít✉❧♦ ❛♣r❡s❡♥t❛ ❛ ❢✉♥❞❛♠❡♥t❛çã♦ t❡ór✐❝❛ ♥❡❝❡ssár✐❛ ♣❛r❛ ♦ ❝á❧❝✉❧♦ ❞♦s t❡♠✲ ♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r✳ ❙ã♦ ♦❜t✐❞❛s ❛s s♦❧✉çõ❡s ❛♥❛❧ít✐❝❛s ❞♦ ♣r♦❜❧❡♠❛ ❞✐r❡t♦ ❞♦s ♠♦❞❡❧♦s ❝♦♥s✐❞❡r❛❞♦s ❡ r❡❛❧✐③❛✲s❡ ✉♠❛ ❛♥á❧✐s❡ ❞❛ ✐♥✢✉ê♥❝✐❛ ❞♦ t✐♣♦ ❞❡ ✢✉①♦ ❞❡ ❝❛❧♦r ❡ ❝♦♥❞✐✲ çã♦ ❞❡ ❝♦♥t♦r♥♦ ✐♥❛t✐✈♦ ♥♦s ✈❛❧♦r❡s ❞♦ t❡♠♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r✳ ❈❛❧❝✉❧❛♠✲s❡ ❡♥tã♦ ♦s t❡♠♣♦s ❞❡ ♣❡♥❡tr❛çã♦ ❡ ❞❡s✈✐♦ ❞❡ ❝❛❧♦r ❡ ❛✐♥❞❛ ♥❡st❡ ❝❛♣ít✉❧♦ ❢❛③✲s❡ ✉♠❛ ❜r❡✈❡ ❛♣r❡s❡♥t❛çã♦ ❞♦ ♠ét♦❞♦ ❚❋❇●❋✳

❆♣r❡s❡♥t❛✲s❡ ♥♦ q✉❛rt♦ ❝❛♣ít✉❧♦ ♦s r❡s✉❧t❛❞♦s ♣❛r❛ ❛s ❡st✐♠❛t✐✈❛s ❞❡ ✢✉①♦ ❞❡ ❝❛❧♦r ✉s❛♥❞♦ ❛ r❡s♣♦st❛ ✐♠♣✉❧s✐✈❛ ❞♦ ♠♦❞❡❧♦ s❡♠✐✲✐♥✜♥✐t♦ ♥❛ s♦❧✉çã♦ ❞♦ ♣r♦❜❧❡♠❛ ✐♥✈❡rs♦✳

❖ q✉✐♥t♦ ❝❛♣ít✉❧♦ ❛♣r❡s❡♥t❛ ♦s ♣r♦❝❡❞✐♠❡♥t♦s ♥❡❝❡ssár✐♦s ♣❛r❛ ♦ ✉s♦ ❞♦ ♠ét♦❞♦ ❚❋❇●❋✱ ❡♥q✉❛♥t♦ ♥♦ s❡①t♦ ❛♣r❡s❡♥t❛✲s❡ ✉♠❛ ❛♣❧✐❝❛çã♦ ❡①♣❡r✐♠❡♥t❛❧ ❞❛ té❝♥✐❝❛✳

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❈❛♣ít✉❧♦ ✷

❘❡✈✐sã♦ ❇✐❜❧✐♦❣rá✜❝❛

❆♣r❡s❡♥t❛✲s❡ ♥❡st❡ ❝❛♣ít✉❧♦ ✉♠❛ ❜r❡✈❡ r❡✈✐sã♦ ❞❡ tr❛❜❛❧❤♦s ❡♥❝♦♥tr❛❞♦s ♥❛ ❧✐t❡r❛t✉r❛ q✉❡ ❡♥✈♦❧✈❡♠ ❛ s♦❧✉çã♦ ❞❡ ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s ♣r❡s❡♥t❡s ❡♠ ✈ár✐♦s ♣r♦❜❧❡♠❛s ♣rát✐❝♦s ❞❡ ❡♥❣❡♥❤❛r✐❛✳ ❆ ❛t❡♥çã♦✱ ♥❡ss❡ ❝❛s♦✱ é ✈♦❧t❛❞❛ ❛ ❛♣❧✐❝❛çã♦ ❞❡ ♠♦❞❡❧♦s tér♠✐❝♦s s✐♠♣❧✐✜❝❛❞♦s ❡♠ ♣r♦❜❧❡♠❛s ❞❡ ❣❡♦♠❡tr✐❛s ❝♦♠♣❧❡①❛s✳ ❖ ✉s♦ ❝♦♠ s❡❣✉r❛♥ç❛ ❞❡ ♠♦❞❡❧♦s s✐♠♣❧❡s ✐♠♣❧✐❝❛✱ ✉s✉❛❧♠❡♥t❡✱ ❡♠ s♦❧✉çõ❡s ❞❡ ❜❛✐①♦ ❝✉st♦ ❝♦♠♣✉t❛❝✐♦♥❛❧✱ ♠❛✐♦r ❡♥t❡♥❞✐♠❡♥t♦ ❢ís✐❝♦ ❡ ♠❛✐♦r ❢❛❝✐❧✐❞❛❞❡ ❞❡ ✐♠♣❧❡♠❡♥t❛çã♦ ♥✉♠ér✐❝❛✳

❖s ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s✱ ❝♦♠♦ ♦ ♣ró♣r✐♦ ♥♦♠❡ s✉❣❡r❡✱ ♣❛rt❡♠ ❞❛ r❡s♣♦st❛ ❞♦ s✐st❡♠❛ ✭❡❢❡✐t♦✮ ♣❛r❛ s❡ ❡st✐♠❛r ♣❛râ♠❡tr♦s ❞❛ ❡♥tr❛❞❛ ✭❝❛✉s❛✮ ❡ sã♦ ❝❧❛ss✐✜❝❛❞♦s ❝♦♠♦ ♠❛❧ ♣♦st♦s ♠❛t❡♠❛t✐❝❛♠❡♥t❡✳ ❚❛❧ ❝❛r❛❝t❡ríst✐❝❛ ❢♦✐ ❛tr✐❜✉í❞❛ ❛♣ós ♦ ♠❛t❡♠át✐❝♦ ❢r❛♥❝ês ❏❛❝q✉❡s ❍❛✲ ❞❛♠❛r❞ ❞❡✜♥✐r✱ ❡♠ ✶✾✵✷✱ ✉♠ ♣r♦❜❧❡♠❛ ❜❡♠ ♣♦st♦ ❝♦♠♦ s❡♥❞♦ ❛q✉❡❧❡ q✉❡ s❛t✐s❢❛③ ❛s três s❡❣✉✐♥t❡s ❝♦♥❞✐çõ❡s✿

• ❊①✐st❡ s♦❧✉çã♦ ✭❡①✐stê♥❝✐❛✮❀

• ❆ s♦❧✉çã♦ é ú♥✐❝❛ ✭✉♥✐❝✐❞❛❞❡✮❀

• ❆ s♦❧✉çã♦ t❡♠ ❞❡♣❡♥❞ê♥❝✐❛ ❝♦♥tí♥✉❛ ✭s✉❛✈❡✮ ❝♦♠ ♦s ❞❛❞♦s ❞❡ ❡♥tr❛❞❛ ✭❡st❛❜✐❧✐❞❛❞❡✮✳

P❛r❛ ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s ❡♠ ❝♦♥❞✉çã♦ ❞❡ ❝❛❧♦r ❛♣❡♥❛s ❛ ♣r✐♠❡✐r❛ ❝♦♥❞✐çã♦ é s❛t✐s❢❡✐t❛✱ ♣♦✐s s❡ ❤á ✉♠ ❡❢❡✐t♦ ❡♥tã♦ ❡①✐st❡ ✉♠❛ ❝❛✉s❛✳ ❏á ♣❛r❛ ❣❛r❛♥t✐r ❛ ✉♥✐❝✐❞❛❞❡ ❡ ❛ ❡st❛❜✐❧✐❞❛❞❡ é ♥❡❝❡ssár✐♦ ♦ ✉s♦ ❞❡ ❢❡rr❛♠❡♥t❛s ♠❛t❡♠át✐❝❛s ❜❛s❡❛❞❛s ❡♠ ✐♥❢♦r♠❛çõ❡s ❛❞✐❝✐♦♥❛✐s✳

❖s ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s ❛♣r❡s❡♥t❛♠ ✐♠♣♦rt❛♥t❡s ❛♣❧✐❝❛çõ❡s ❡♠ ❞✐✈❡rs❛s ♣❛rt❡s ❞❛s ❝✐ê♥✲ ❝✐❛s ❡ ❞❛ ❡♥❣❡♥❤❛r✐❛ ✭Ö❩■❙■❑✱ ✶✾✾✸✮✳ Pr♦❜❧❡♠❛s ✐♥✈❡rs♦s ❡♠ ❝♦♥❞✉çã♦ ❞❡ ❝❛❧♦r ✭■❍❈P ✲ ■♥✈❡rs❡ ❍❡❛t ❈♦♥❞✉❝t✐♦♥ Pr♦❜❧❡♠✮ ♥♦r♠❛❧♠❡♥t❡ ❡♥✈♦❧✈❡ ❛ ❡st✐♠❛t✐✈❛ ❞❡ ✢✉①♦s ❞❡ ❝❛❧♦r✱ ♣r♦♣r✐❡❞❛❞❡s tér♠✐❝❛s ♦✉ ❣❡r❛çã♦ ❞❡ ❝❛❧♦r✱ ❡♥tr❡ ♦✉tr♦s✳ ❖ ♣r❡s❡♥t❡ ❡st✉❞♦ s❡ ❝♦♥❝❡♥tr❛ ♥❛

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❡st✐♠❛t✐✈❛ ❞❡ ❞✐✈❡rs♦s t✐♣♦s ❞❡ ✢✉①♦ ❞❡ ❝❛❧♦r ❛♣❧✐❝❛❞♦s ❛ ✈ár✐♦s ♠♦❞❡❧♦s✱ ♣❛rt✐♥❞♦ ❞❛ ♠❡❞✐çã♦ ❞❡ t❡♠♣❡r❛t✉r❛ ❡♠ ♣♦♥t♦s ❛❝❡ssí✈❡✐s✳

❊①✐st❡♠ ✈ár✐♦s ♠ét♦❞♦s ❞❡ s♦❧✉çã♦ ❞❡ ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s ❡♠ ❝♦♥❞✉çã♦ ❞❡ ❝❛❧♦r✱ s❡♥❞♦ q✉❡ ❛s ♣r✐♠❡✐r❛s ❝♦♥tr✐❜✉✐çõ❡s ♣❛r❛ ❛ s♦❧✉çã♦ ❞❡st❡ t✐♣♦ ❞❡ ♣r♦❜❧❡♠❛ ❢♦r❛♠ ❢❡✐t❛s ♣♦r ❙t♦❧③ ✭✶✾✻✵✮✳

❖❜s❡r✈❛✲s❡ q✉❡ ♣❛r❛ s♦❧✉çã♦ ❞❡ ✉♠ ■❍❈P é ♥❡❝❡ssár✐❛ ❛ ♦❜t❡♥çã♦ ❞❛ s♦❧✉çã♦ ❞✐r❡t❛ ❞♦ ♣r♦❜❧❡♠❛✳ ❚❛❧ s♦❧✉çã♦ ✈✐s❛ ♦❜t❡r ❛ r❡s♣♦st❛ ✭❡❢❡✐t♦✮ ❞❡ ✉♠ s✐st❡♠❛ ❛ ✉♠❛ ♣❡rt✉❜❛çã♦ ✭❝❛✉s❛✮✳ ◆❛ ♣rát✐❝❛ ♦s ♣r♦❜❧❡♠❛s ❞❡ ❝♦♥❞✉çã♦ ❞❡ ❝❛❧♦r sã♦ ❣❡r❛❧♠❡♥t❡ tr✐❞✐♠❡♥s✐♦♥❛✐s✱ tr❛♥s✐❡♥t❡s ❡ ❝♦♠ ❝♦♥❞✐çõ❡s ❞❡ ❝♦♥t♦r♥♦ ♥ã♦ ❤♦♠♦❣ê♥❡❛s✳ ❚❛✐s ❝❛r❛❝t❡ríst✐❝❛s r❡s✉❧t❛♠ ❡♠ s♦❧✉çõ❡s ❛♥❛❧ít✐❝❛s ❡✴♦✉ ♥✉♠ér✐❝❛s ❜❛st❛♥t❡ ❝♦♠♣❧❡①❛s✳ ❆s té❝♥✐❝❛s ♣❛r❛ ❛ ♦❜t❡♥çã♦ ❞❛ s♦❧✉çã♦ ❞✐r❡t❛ ♣♦❞❡♠ s❡r ❞✐✈✐❞✐❞❛s ❡♠ ❞♦✐s t✐♣♦s✿ ♥✉♠ér✐❝❛ ♦✉ ❛♥❛❧ít✐❝❛✳

❍✉❛♥❣ ✫ ❲❛♥❣ ✭✶✾✾✾✮ r❡s♦❧✈❡r❛♠ ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s tr✐❞✐♠❡♥s✐♦♥❛✐s tr❛♥s✐❡♥t❡s ✉s❛♥❞♦ ♦ ♠ét♦❞♦ ❞♦s ❣r❛❞✐❡♥t❡s ❝♦♥❥✉❣❛❞♦s ✭❈●▼✮ ❡ ♦ ❝ó❞✐❣♦ ❝♦♠❡r❝✐❛❧ ❈❋❳✹✳✷✳ ❖ ♦❜❥❡t✐✈♦ ❡r❛ ❡st✐♠❛r ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡♠ ♠♦❞❡❧♦s tr✐❞✐♠❡♥s✐♦♥❛✐s ✐rr❡❣✉❧❛r❡s ❛ ♣❛rt✐r ❞❡ t❡♠♣❡r❛t✉r❛s ♦❜t✐❞❛s ✉s❛♥❞♦ s❝❛♥♥❡rs ✐♥❢r❛✈❡r♠❡❧❤♦s✳ ❈♦♠♦ ❝♦♥❞✐çã♦ ❞❡ ❝♦♥t♦r♥♦ ♦ ♠♦❞❡❧♦ ❛♣r❡s❡♥t❛✈❛ ✢✉①♦ ❞❡ ❝❛❧♦r ❛♣❧✐❝❛❞♦ ❡♠ ✉♠❛ s✉♣❡r❢í❝✐❡ ❡♥q✉❛♥t♦ ❛s ♦✉tr❛s ❡r❛♠ ♠❛♥t✐❞❛s ✐s♦❧❛❞❛s✳ ❖s r❡s✉❧t❛❞♦s s❡ ♠♦str❛r❛♠ s❛t✐s❢❛tór✐♦s✳

❈❛r✈❛❧❤♦ ❡t ❛❧✳ ✭✷✵✵✸✮ t✐♥❤❛ ❝♦♠♦ ♦❜❥❡t✐✈♦ ♣r✐♥❝✐♣❛❧ ❞❡t❡r♠✐♥❛r ❛ t❡♠♣❡r❛t✉r❛ ♥❛ s✉✲ ♣❡r❢í❝✐❡ ❞❡ ❝♦rt❡ ❞✉r❛♥t❡ ♦ ♣r♦❝❡ss♦ ❞❡ t♦r♥❡❛♠❡♥t♦✳ ◆❡ss❡ ❝❛s♦ ❞❡s❡♥✈♦❧✈❡✉✲s❡ ✉♠ ♠♦❞❡❧♦ tér♠✐❝♦ tr✐❞✐♠❡♥s✐♦♥❛❧ tr❛♥s✐❡♥t❡ ❝♦♥s✐❞❡r❛♥❞♦ ❛♣❡♥❛s ❛ ❢❡rr❛♠❡♥t❛ ❞❡ ❝♦rt❡✳ ❆s ❢❛❝❡s ❢♦r❛♠ ❡①♣♦st❛s à ❝♦♥✈❡❝çã♦✱ s❡♥❞♦ q✉❡ ♥❛ ❢❛❝❡ ❞❡ ❝♦rt❡ ♣❛rt❡ ❢♦✐ s✉❜♠❡t✐❞❛ ❛ ✉♠ ✢✉①♦ ❞❡ ❝❛❧♦r✳ ❆♣❧✐❝♦✉✲s❡ ♦ ♠ét♦❞♦ ♥✉♠ér✐❝♦ ❞❡ ❞✐❢❡r❡♥ç❛s ✜♥✐t❛s ♣❛r❛ ❛ s♦❧✉çã♦ ❞♦ ♣r♦❜❧❡♠❛ ❞✐r❡t♦ ❡ ❛ té❝♥✐❝❛ ✐♥✈❡rs❛ ❞❡ r❡❝♦③✐♠❡♥t♦ s✐♠✉❧❛❞♦ ✭❙✐♠✉❧❛t❡❞ ❆♥♥❡❛❧✐♥❣✮ ♣❛r❛ ❡st✐♠❛r ♦ ✢✉①♦ ❞❡ ❝❛❧♦r q✉❡ ✢✉✐ ♣❛r❛ ❛ ❢❡rr❛♠❡♥t❛✳ ❈♦♥❤❡❝✐❞❛ ❛ ❡st✐♠❛t✐✈❛ ❞♦ ✢✉①♦ ❞❡t❡r♠✐♥♦✉✲s❡✱ ❛tr❛✈és ❞❛ s♦❧✉✲ çã♦ ❞♦ ♣r♦❜❧❡♠❛ ❞✐r❡t♦✱ ❛ t❡♠♣❡r❛t✉r❛ ❡♠ q✉❛❧q✉❡r ♣♦s✐çã♦ ❞❛ ❢❡rr❛♠❡♥t❛✱ ❜❡♠ ❝♦♠♦ s✉❛ ❡✈♦❧✉çã♦ ❞♦ ❝❛♠♣♦ ❞❡ t❡♠♣❡r❛t✉r❛✳

❊♠ ✉♠ ♦✉tr♦ tr❛❜❛❧❤♦ ❞❡ ❈❛r✈❛❧❤♦ ❡t ❛❧✳ ✭✷✵✵✻✮✱ ❞❡s❡♥✈♦❧✈❡r❛♠ ✉♠ ♠♦❞❡❧♦ tr✐❞✐♠❡♥s✐♦♥❛❧ tr❛♥s✐❡♥t❡ q✉❡ ❝♦♥s✐❞❡r❛ ♥ã♦ ❛♣❡♥❛s ❛ ❢❡rr❛♠❡♥t❛ ❞❡ ❝♦rt❡✱ ♠❛s t❛♠❜é♠ ♦ ♣♦rt❛✲❢❡rr❛♠❡♥t❛✳ ❖ ♣r♦❜❧❡♠❛ ❞✐r❡t♦ ❢♦✐ r❡s♦❧✈✐❞♦ ❛tr❛✈és ❞❛ té❝♥✐❝❛ ♥✉♠ér✐❝❛ ❞❡ ❞✐❢❡r❡♥ç❛s ✜♥✐t❛s ❡ ♦ ♣r♦❜❧❡♠❛ ✐♥✈❡rs♦ ❛tr❛✈és ❞❛ té❝♥✐❝❛ ❞❡ ♦t✐♠✐③❛çã♦ ❞❛ ❙❡çã♦ ➪✉r❡❛✳ ❖s r❡s✉❧t❛❞♦s ❛♣r❡s❡♥t❛r❛♠ ✉♠❛ ♠❡❧❤♦r❛ ❝♦♥s✐❞❡rá✈❡❧ ♣❛r❛ ❛ ❡st✐♠❛t✐✈❛ ❞♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❡ ❝♦♥s❡q✉❡♥t❡♠❡♥t❡ ♣❛r❛ ❞✐str✐❜✉✐çã♦ ❞❡ t❡♠♣❡r❛t✉r❛ q✉❛♥❞♦ ❝♦♠♣❛r❛❞♦s ❝♦♠ ♦ tr❛❜❛❧❤♦ ❛♥t❡r✐♦r✳

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♥✐tr❡t♦ ❞❡ ❝r♦♠♦ ✭❈r◆✮✳ P❛r❛ ❡st✐♠❛r ♦ ✢✉①♦✱ t❡♠♣❡r❛t✉r❛s ❡①♣❡r✐♠❡♥t❛✐s ❢♦r❛♠ ♠❡❞✐❞❛s ❛tr❛✈és ❞❡ ❝✐♥❝♦ t❡r♠♦♣❛r❡s ♣♦s✐❝✐♦♥❛❞♦s ♥❛ ❢❡rr❛♠❡♥t❛✳ ❱❛r✐❛r❛♠✲s❡ t❛♠❜é♠ ♦s ♣❛râ♠❡tr♦s ❞❡ ✈❡❧♦❝✐❞❛❞❡ ❞❡ ❝♦rt❡ ❡ ❡s♣❡ss✉r❛ ❞❛ ❢♦❧❤❛ ❞❡ ♠❛❞❡✐r❛ ❝♦rt❛❞❛✳ ❖s r❡s✉❧t❛❞♦s r❡❛❧ç❛r❛♠ ♦ ✐♠♣♦rt❛♥t❡ ♣❛♣❡❧ ❞♦ r❡✈❡st✐♠❡♥t♦ ♥❛ ❢❡rr❛♠❡♥t❛✱ ❡♠ ♣❛rt✐❝✉❧❛r q✉❛♥❞♦ s❡ ❛♥❛❧✐s❛♠ ❝♦♥❥✉♥✲ t❛♠❡♥t❡ ♠❡❞✐çõ❡s ❞❡ ❡s❢♦rç♦ ❡ ❛ ❡♥❡r❣✐❛ t♦t❛❧ ❝♦♥s✉♠✐❞❛ ❞✉r❛♥t❡ ♦ ❝♦rt❡✳

❖s ❛✉t♦r❡s ❍✉❛♥❣ ❡t ❛❧✳ ✭✷✵✵✼✮ ✉s❛r❛♠ ✉♠ ♠♦❞❡❧♦ tr✐❞✐♠❡♥s✐♦♥❛❧ tr❛♥s✐❡♥t❡ ♣❛r❛ ❡st✐♠❛r ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❞✉r❛♥t❡ ❛ ❢✉r❛çã♦ ❞❡ ✉♠❛ ♣❡ç❛ ❞❡ t✐tâ♥✐♦✳ ❙♦❧✉❝✐♦♥♦✉✲s❡ ♦ ♣r♦❜❧❡♠❛ ✐♥✈❡rs♦ ❛tr❛✈és ❞♦ ♠ét♦❞♦ ❞❛ ♠á①✐♠❛ ❞❡s❝✐❞❛ ❡ ❞♦ ❝ó❞✐❣♦ ❝♦♠❡r❝✐❛❧ ❈❋❳✹✳✹✱ ✉s❛♥❞♦ ♠❡❞✐çõ❡s ❞❡ t❡♠♣❡r❛t✉r❛ ♥❛ s✉♣❡r❢í❝✐❡ ❞❡ ❢✉r❛çã♦✳ ❈♦♠♦ ❝♦♥❞✐çã♦ ❞❡ ❝♦♥t♦r♥♦ ❝♦♥s✐❞❡r❛♠✲s❡ t♦❞❛s ❛s s✉♣❡r❢í❝✐❡s s✉❥❡✐t❛s à ❝♦♥✈❡❝çã♦✱ ❡①❝❡t♦ ❛ s✉♣❡r❢í❝✐❡ s✉♣❡r✐♦r✱ ❝♦♥s✐❞❡r❛❞❛ ❛❞✐❛❜át✐❝❛✱ ❡ ❛ s✉♣❡r❢í❝✐❡ ❞❡ ❢✉r❛çã♦✱ ♥❛ q✉❛❧ ❢♦✐ ✐♠♣♦st♦ ✉♠ ✢✉①♦ ❞❡ ❝❛❧♦r ❞❡s❝♦♥❤❡❝✐❞♦✳ ❖s ❡①♣❡r✐♠❡♥t♦s ❢♦r❛♠ r❡❛❧✐③❛❞♦s ❛ s❡❝♦ ❡ ❛s ❡st✐♠❛t✐✈❛s ❞♦s ✢✉①♦s ❡♥❝♦♥tr❛❞❛s s❡ ♠♦str❛r❛♠ s❛t✐s❢❛tór✐❛s✳

❊♠ ✉♠ ♦✉tr♦ ❡st✉❞♦ ❞♦ ♣r♦❝❡ss♦ ❞❡ ❢✉r❛çã♦✱ ❙♦✉s❛ ❡t ❛❧✳ ✭✷✵✶✷✮ ❡st✐♠❛r❛♠ ❛ t❡♠♣❡r❛t✉r❛ ❡ ✢✉①♦ ❞❡ ❝❛❧♦r ♥❛ ✐♥t❡r❢❛❝❡ ♣❡ç❛✲❢❡rr❛♠❡♥t❛ ❞✉r❛♥t❡ ♦ ♣r♦❝❡ss♦ ❞❡ ✉s✐♥❛❣❡♠✳ ❆ té❝♥✐❝❛ ✉s❛❞❛ ❜❛s❡✐❛✲s❡ ❡♠ ❢✉♥çõ❡s ❞❡ ●r❡❡♥ ❡ ♦❜s❡r✈❛❞♦r❡s ❞✐♥â♠✐❝♦s✳ ❆♦ ❝♦♥trár✐♦ ❞❛ ♠❛✐♦r✐❛ ❞♦s tr❛❜❛❧❤♦s ❢♦❝❛❞♦s ♥❛ ❢❡rr❛♠❡♥t❛✱ ♥❡st❡ ❡st✉❞♦✱ ♦♣t♦✉✲s❡ ♣♦r ♠♦❞❡❧❛r t❡r♠✐❝❛♠❡♥t❡ ❛ ♣❡ç❛✳ ❖❜t❡✈❡✲s❡ ✉♠❛ ❜♦❛ ❛♣r♦①✐♠❛çã♦ ❡♥tr❡ ❛ t❡♠♣❡r❛t✉r❛ ♠❡❞✐❞❛ ♣♦r t❡r♠♦♣❛r❡s ♥ã♦ ✉t✐❧✐③❛❞♦s ♥❛ ❡st✐♠❛t✐✈❛ ❞❡ ✢✉①♦ ❞❡ ❝❛❧♦r ❡ ❛ s✐♠✉❧❛❞❛ ❝♦♠♣✉t❛❝✐♦♥❛❧♠❡♥t❡✳

❋❡r♥❛♥❞❡s ❡t ❛❧✳ ✭✷✵✶✵✮ ❞❡♠♦♥str❛r❛♠ ✉♠❛ ❝❡rt❛ ♣r❡♦❝✉♣❛çã♦ ❝♦♠ ♦ t❡♠♣♦ ❝♦♠♣✉t❛❝✐♦♥❛❧ q✉❛♥❞♦ sã♦ ❛♣❧✐❝❛❞❛s té❝♥✐❝❛s ♥✉♠ér✐❝❛s ❡♠ ♠♦❞❡❧♦s tr✐❞✐♠❡♥s✐♦♥❛✐s tr❛♥s✐❡♥t❡s ♣❛r❛ r❡s♦❧✈❡r ♣r♦❜❧❡♠❛s ✐♥✈❡rs♦s ♦✉ ❞❡ ♦t✐♠✐③❛çã♦✱ ✉♠❛ ✈❡③ q✉❡ ♦ ♣r♦❜❧❡♠❛ ❞✐r❡t♦ é ❝❛❧❝✉❧❛❞♦ ❞✐✈❡rs❛s ✈❡③❡s✳ Pr♦♣✉s❡r❛♠✱ ❛ss✐♠✱ ♦ ✉s♦ ❞❡ s♦❧✉çã♦ ❛♥❛❧ít✐❝❛ ❜❛s❡❛❞❛ ❡♠ ❢✉♥çõ❡s ❞❡ ●r❡❡♥ ♣❛r❛ ❛ ❡st✐♠❛t✐✈❛ ❞❡ ♣r♦♣r✐❡❞❛❞❡s tér♠✐❝❛s ✉s❛♥❞♦ té❝♥✐❝❛s ❞❡ ♦t✐♠✐③❛çã♦✳ ❖s r❡s✉❧t❛❞♦s ❢♦r❛♠ ❜❛st❛♥t❡ s❛t✐s❢❛tór✐♦s✱ r❡❞✉③✐♥❞♦ ❞r❛st✐❝❛♠❡♥t❡ ♦ t❡♠♣♦ ❝♦♠♣✉t❛❝✐♦♥❛❧ ❣❛st♦ ❝♦♠ ♣r❡❝✐sã♦ ♥❛s ❡st✐♠❛t✐✈❛s✳

P❛r❛ ✐♥✈❡st✐❣❛r ♦ ❡❢❡✐t♦ ❞❡ ✉♠ t✉❜♦ ❞❡ ❝❛❧♦r ♥❛ r❡❞✉çã♦ ❞❛ t❡♠♣❡r❛t✉r❛ ♥❛ ✐♥t❡r❢❛❝❡ ❝❛✈❛❝♦✲❢❡rr❛♠❡♥t❛ ❞✉r❛♥t❡ ✉♠ ♣r♦❝❡ss♦ ❞❡ ✉s✐♥❛❣❡♠✱ ▲✐❛♥❣✱ ◗✉❛♥ ✫ ❑❡ ✭✷✵✶✶✮ ♣r♦❥❡t❛r❛♠ ❡ ❢❛❜r✐❝❛r❛♠ ✉♠❛ ❢❡rr❛♠❡♥t❛ ❝♦♠ ✉♠ t✉❜♦ ❞❡ ❝❛❧♦r✳ ❖❜t❡✈❡✲s❡ ❛ t❡♠♣❡r❛t✉r❛ ♥❛ ✐♥t❡r❢❛❝❡ ✉s❛♥❞♦ ✉♠ ♠♦❞❡❧♦ ✸❉ tr❛♥s✐❡♥t❡ ❡ ❞✐❢❡r❡♥ç❛s ✜♥✐t❛s✳

❋❡r♥❛♥❞❡s✱ ❙❛♥t♦s ✫ ●✉✐♠❛r❛❡s ✭✷✵✶✺✮ ♠♦❞❡❧❛r❛♠ ❛♥❛❧✐t✐❝❛♠❡♥t❡ ✉♠❛ ❢❡rr❛♠❡♥t❛ ❞❡ ❝♦rt❡ ❛tr❛✈és ❞❡ ✉♠ ♠♦❞❡❧♦ tr✐❞✐♠❡♥s✐♦♥❛❧ tr❛♥s✐❡♥t❡ ♣❛r❛ ❡st✐♠❛t✐✈❛ ❞♦ ✢✉①♦ ❞❡ ❝❛❧♦r✳ ❊♠❜♦r❛ ❝♦♠ ❛❧❣✉♠❛ ❝♦♠♣❧❡①✐❞❛❞❡✱ ❢♦✐ ♣♦ssí✈❡❧ s❡ ❡st✐♠❛r ♦ ✢✉①♦ ❞❡ ❝❛❧♦r ❝♦♠ ✉♠❛ ❜♦❛ ♣r❡❝✐sã♦ ♦❜t❡♥❞♦✲s❡ ♦ ❝❛♠♣♦ ❞❡ t❡♠♣❡r❛t✉r❛ ♥❛ ❢❡rr❛♠❡♥t❛✳

Referências

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