2003/11/30 by Vladimir Garcı́a-Morales, V. Garcia-Morales, Javier Cervera +3 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Electrostatics and Colloid Interactions #Statistical Distribution Estimation and Applications #Statistical Mechanics and Entropy #cond-mat.soft
paper · pdf · doi:10.1016/j.physa.2004.03.070
published as Physica A 339 (2004) 482-490 · 17 pages, 2 figures, 1 table. Final version, accepted for publication in Physica A
arxiv created 2004/03/23 · openalex publication_date 2004/04/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.