Bounds on the diffusion constant for the Rubinstein-Duke model of electrophoresis

被引：28

作者：

Prahofer, M

Spohn, H

机构：

[1] Theoretische Physik, Ludwig-Maximilians-Universität, D-80333 München

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1996年 / 233卷 / 1-2期

关键词：

reptation; random processes; electrophoresis;

D O I：

10.1016/S0378-4371(96)00226-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove bounds on the diffusion constant for the Rubinstein-Duke model by means of a variational formula. The leading term decreases quadratically with the length of the polymer chain. The coefficient of proportionality agrees with the one for the model with periodic boundary conditions. The next leading term is anomalous. Upper and lower bounds on the corresponding scaling exponent are given.

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页码：191 / 207

页数：17

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