56 research outputs found
Polymers in anisotropic environment with extended defects
The conformational properties of flexible polymers in d dimensions in
environments with extended defects are analyzed both analytically and
numerically. We consider the case, when structural defects are correlated in
\varepsilon_d dimensions and randomly distributed in the remaining
d-\varepsilon_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 environment
with parallel rod-like defects (\varepsilon_d=1). An analytical description of
the model is developed within the des Cloizeaux direct polymer renormalization
scheme
Polymers in disordered environments
A brief review of our recent studies aiming at a better understanding of the
scaling behaviour of polymers in disordered environments is given. The main
emphasis is on a simple generic model where the polymers are represented by
(interacting) self-avoiding walks and the disordered environment by critical
percolation clusters. The scaling behaviour of the number of conformations and
their average spatial extent as a function of the number of monomers and the
associated critical exponents and are examined with two
complementary approaches: numerical chain-growth computer simulations using the
PERM algorithm and complete enumerations of all possible polymer conformations
employing a recently developed very efficient exact counting method.Comment: 11 pages, 5 figure
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