Thermostatistics of overdamped motion of interacting particles

Details Thermostatistics of overdamped motion of interacting particles Thermostatistics of overdamped motion of interacting particles

2010-08-08

arxiv.org/abs/1008.1421v2

Phys. Rev. Lett. 105, 260601 (2010)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.105.260601

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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