Eur. Phys. J. Special Topics 216, 191-198 (2013)
https://doi.org/10.1140/epjst/e2013-01742-2

Regular Article

Polymers in anisotropic environment with extended defects

Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine

Received: 30 November 2012
Revised: 6 December 2012
Published online: 31 January 2013

Abstract

The conformational properties of flexible polymers in d dimensions in environments with extended defects are analyzed both analytically and numerically. We consider the case of structural defects correlated in ε_d dimensions and randomly distributed in the remaining d − ε_d. Within the lattice model of self-avoiding random walks (SAW), we apply the pruned-enriched Rosenbluth method (PERM) and find the estimates for scaling exponents and universal shape parameters of polymers in the environment with parallel rod-like defects (ε_d = 1). An analytical description of the model is developed within the des Cloizeaux direct polymer renormalization scheme.