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.
%0 Journal Article
%1 WOS:000286756800002
%A Jr., J S Andrade
%A da Silva, G F T
%A Moreira, A A
%A Nobre, F D
%A Curado, E M F
%C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
%D 2010
%I AMER PHYSICAL SOC
%J PHYSICAL REVIEW LETTERS
%K imported
%N 26
%R 10.1103/PhysRevLett.105.260601
%T Thermostatistics of Overdamped Motion of Interacting Particles
%V 105
%X 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.
@article{WOS:000286756800002,
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.},
added-at = {2022-05-23T20:00:14.000+0200},
address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA},
author = {Jr., J S Andrade and da Silva, G F T and Moreira, A A and Nobre, F D and Curado, E M F},
biburl = {https://www.bibsonomy.org/bibtex/253e999325af9b079a2ff4ed2f3cd7206/ppgfis_ufc_br},
doi = {10.1103/PhysRevLett.105.260601},
interhash = {4dff3bc73fe701aac6177d0cb98f2687},
intrahash = {53e999325af9b079a2ff4ed2f3cd7206},
issn = {0031-9007},
journal = {PHYSICAL REVIEW LETTERS},
keywords = {imported},
number = 26,
publisher = {AMER PHYSICAL SOC},
pubstate = {published},
timestamp = {2022-05-23T20:00:14.000+0200},
title = {Thermostatistics of Overdamped Motion of Interacting Particles},
tppubtype = {article},
volume = 105,
year = 2010
}