Coupling theory for counterion distributions based in Tsallis statistics

Details Coupling theory for counterion distributions based in Tsallis statistics Coupling theory for counterion distributions based in Tsallis statistics

2003-11-24

arxiv.org/abs/cond-mat/0311546v2

Physica A 339 (2004) 482-490

Physics

Condensed Matter

Soft Condensed Matter

17 pages, 2 figures, 1 table. Final version, accepted for publication in Physica A

Scientific paper

10.1016/j.physa.2004.03.070

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 A. G. Moreira and R. R. Netz [Europhys. Lett. 52 (2000) 705]. Excellent agreement with these is obtained.

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