Thermostatistics of a damped bimodal particle

João R. Medeiros and Sílvio M. Duarte Queirós
Phys. Rev. E 92, 062145 – Published 29 December 2015

Abstract

We study the thermostatistics of a damped bimodal particle, i.e., a particle of mass m subject to a work reservoir that is analytically represented by the telegraph noise. Because of the colored nature of the noise, it does not fit the Lévy-Itô class of stochastic processes, making this system an instance of a nonequilibrium system in contact with a non-Gaussian external reservoir. We obtain the statistical description of the position and velocity, namely in the stationary state, as well as the (time-dependent) statistics of the energy fluxes in the system considering no constraints on the telegraph noise features. With that result we are able to give an account of the statistical properties of the large deviations of the injected and dissipated power that can change from sub-Gaussianity to super-Gaussianity depending on the color of the noise. By properly defining an effective temperature for this system, T, we are capable of obtaining an equivalent entropy production-exchange rate equal to the ratio between the dissipation of the medium, γ, and the mass of the particle, m, a relation that concurs with the case of a standard thermal reservoir at temperature, T=T.

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  • Received 15 September 2015
  • Revised 17 October 2015

DOI:https://doi.org/10.1103/PhysRevE.92.062145

©2015 American Physical Society

Authors & Affiliations

João R. Medeiros and Sílvio M. Duarte Queirós

  • Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems Rua Dr Xavier Sigaud, 150, 22290-180 Rio de Janeiro—RJ, Brazil

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Issue

Vol. 92, Iss. 6 — December 2015

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