Shape anisotropy of polymers in porous environment V. Blavatskaa and W. Jankeb
aInstitute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitski Str. 79011 Lviv, Ukraine E–mail: viktoria@icmp.lviv.ua
bInstitut f¨ur Theoretische Physik and Centre for Theoretical Sciences (NTZ), Universit¨at Leipzig, Postfach 100920, D-04009 Leipzig, Germany
E–mail: Wolfhard.Janke@itp.uni-leipzig.de
We study the influence of structural obstacles in a disordered envi- ronment on the size and shape characteristics of long flexible polymer macromolecules. We use the model of self-avoiding random walks on di- luted regular lattices at the percolation threshold in space dimensions d= 2, 3. Applying the Pruned-Enriched Rosenbluth Method (PERM), we numerically estimate rotationally invariant universal quantities such as the averaged asphericityAd and prolatenessS of polymer chain con- figurations. Our results quantitatively reveal the extent of anisotropy of macromolecules due to the presence of structural defects.
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