Multilayer Markov chains with applications to polymers in shear flow

被引：5

作者：

Dubbeldam, J.

Redig, F.

机构：

[1] Eindhoven Univ Technol, Eindhoven Polymer Labs, D-55021 Mainz, Germany

[2] Max Planck Inst Polymer Res, D-55021 Mainz, Germany

[3] Leiden Univ, Math Inst, NL-2333 CA Leiden, Netherlands

来源：

JOURNAL OF STATISTICAL PHYSICS | 2006年 / 125卷 / 01期

关键词：

multilayer Markov chain; polymer; shear flow; Ornstein Uhlenbeck process;

D O I：

10.1007/s10955-006-9166-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present an analysis of multilayer Markov chains and apply the results to a model of a tethered polymer chain in shear flow. We find that the stationary probability measure in the direction of the flow is nonmonotonic, and has several maxima and minima for sufficiently high shear rates. This is in agreement with the experimental observation of cyclic dynamics for such polymer systems. Estimates for the stationary variance and expectation value were obtained and showed to be in accordance with our numerical results.

引用

页码：229 / 247

页数：19

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