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arXiv · 1008.1421

Thermostatistics of overdamped motion of interacting particles

J. S. Andrade Jr.·G. F. T. da Silva·A. A. Moreira·F. D. Nobre·E. M. F. Curado
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Abstract

We show through a nonlinear Fokker-Planck formalism, and confirm by molecular dynamics simulations, that the overdamped motion of interacting particles at T=0, where T is the temperature of a thermal bath connected to the system, can be directly associated with Tsallis thermostatistics. For sufficiently high values of T, the distribution of particles becomes Gaussian, so that the classical Boltzmann-Gibbs behavior is recovered. For intermediate temperatures of the thermal bath, the system displays a mixed behavior that follows a novel type of thermostatistics, where the entropy is given by a linear combination of Tsallis and Boltzmann-Gibbs entropies.

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J. S. Andrade Jr., G. F. T. da Silva, A. A. Moreira, F. D. Nobre, E. M. F. Curado. 2011-02-07. Thermostatistics of overdamped motion of interacting particles. https://doi.org/10.1103/physrevlett.105.260601

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