Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Séminaire de groupe

Polymers in anisotropic environment with extended defect
Khrystyna Haydukivska
ICMP Lviv
jeudi 07 février 2013 , 10h25
Salle de séminaire du groupe de Physique Statistique

The conformational properties of flexible polymers in $d$ dimensions in the environment with extended defects are analyzed both analytically and numerically. We consider the model with structural defects correlated in $\varepsilon_d$ dimensions and randomly distributed in remaining $d-\varepsilon_d$ (the case $\varepsilon_d=1$ describes defects in the form of parallel lines). Within the lattice model of self-avoiding random walks (SAW) we apply both the pruned-enriched Rosenbluth method (PERM) and exact enumerations algorithm. Anisotropy of the environment causes existence of two distinct characteristic length scales and leads to distinction in polymer properties in directions parallel and perpendicular to extended defects. Scaling exponents and shape properties of polymers are analyzed numerically for the wide range of concentrations of defects. Analytical description of the model is developed within the des Cloizeaux direct polymer renormalization scheme. <br> S.M. Dorogovtsev, Fiz. Tverd. Tela (Leningrad) 22, 321 (1980) [Sov. ,Phys.-Solid State 22, 188 (1980)]; Fiz. Tverd. Tela (Leningrad) 22, 3659 (1980) [Sov. Phys.-Solid State 22, 2141 (1980)]



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