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RESEARCH PRODUCT

Coupling theory for counterion distributions based in Tsallis statistics

Julio PellicerJavier CerveraVladimir García-morales

subject

Statistics and ProbabilityPhysicschemistry.chemical_classificationCouplingMonte Carlo methodTsallis statisticsFOS: Physical sciencesCondensed Matter - Soft Condensed MatterCondensed Matter PhysicsMean field theorychemistrySimple (abstract algebra)Strong couplingSoft Condensed Matter (cond-mat.soft)Statistical physicsLimit (mathematics)Counterion

description

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.

yearjournalcountryeditionlanguage
2003-11-24Physica A: Statistical Mechanics and its Applications
https://doi.org/10.1016/j.physa.2004.03.070