Thermostatistics of overdamped motion of interacting particles |
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Authors: | Andrade J S da Silva G F T Moreira A A Nobre F D Curado E M F |
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Institution: | Departamento de Física, Universidade Federal do Ceará, Fortaleza, Ceará, Brazil. |
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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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