title: Thermostatistics of overdamped motion of interacting particles.
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.
authors.affiliation: Departamento de Física, Universidade Federal do Ceará, Fortaleza, Ceará, Brazil.
authors.forename: J S
authors.initials: JS
authors.lastname: Andrade
authors.forename: G F T
authors.initials: GF
authors.lastname: da Silva
authors.forename: A A
authors.initials: AA
authors.lastname: Moreira
authors.forename: F D
authors.initials: FD
authors.lastname: Nobre
authors.forename: E M F
authors.initials: EM
authors.lastname: Curado