Coupling theory for counterion distributions based in Tsallis statistics

被引：11

作者：

Garcia-Morales, V ^{[1
]}

Cervera, J ^{[1
]}

Pellicer, J ^{[1
]}

机构：

[1] Univ Valencia, Dept Termodinam, E-46100 Burjassot, Spain

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2004年 / 339卷 / 3-4期

关键词：

polyelectrolytes; charge correlations; Tsallis statistics; screening; mean field theory;

D O I：

10.1016/j.physa.2004.03.070

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is well known that the Poisson-Boltzmann (PB) equation yields the exact counterion density around charged objects in the weak coupling limit. In this paper, we generalize the PB approach to account for coupling of arbitrary strength by making use of Tsallis q-exponential distributions. Both the weak coupling and the strong coupling limits are reproduced. For arbitrary coupling we also provide simple analytical expressions which are compared to recent Monte Carlo simulations by Moreira and Netz [Europhys. Lett. 52 (2000) 705]. Excellent agreement with these is obtained. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：482 / 490

页数：9

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