Condensed Matter Physics, 2014, vol. 17, No. 2, p. 23301:1-15
DOI:10.5488/CMP.17.23301
arXiv:1407.3117
Title:
Conformational properties of polymers in anisotropic environments
Author(s):
 
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K. Haydukivska
(Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitski St., 79011 Lviv, Ukraine)
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V. Blavatska
(Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitski St., 79011 Lviv, Ukraine)
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We analyze the conformational properties of polymer macromolecules in solutions in presence of extended structural obstacles of (fractal) dimension ϵd causing the anisotropy of environment. Applying the pruned-enriched Rosenbluth method (PERM), we obtain numerical estimates for scaling exponents and universal shape parameters of polymers in such environments for a wide range 0<ϵd<2 in space dimension d=3. An analytical description of the model is developed within the des Cloizeaux direct polymer renormalization scheme. Both numerical and analytical studies qualitatively confirm the existence of two characteristic length scales of polymer chain in directions parallel and perpendicular to the extended defects.
Key words:
polymers, scaling, disorder, renormalization group, computer simulations
PACS:
36.20.-r, 89.75.Da, 64.60.ae, 07.05.Tp
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