Non-Markovian work fluctuation theorem in crossed electric and magnetic fields

J. I. Jiménez-Aquino
Phys. Rev. E 92, 022149 – Published 28 August 2015

Abstract

The validity of the transient work fluctuation theorem for a charged Brownian harmonic oscillator embedded in a non-Markovian heat bath and under the action of crossed electric and magnetic fields is investigated. The aforementioned theorem is verified to be valid within the context of the generalized Langevin equation with an arbitrary memory kernel and arbitrary dragging in the potential minimum. The fluctuation-dissipation relation of the second kind is assumed to be valid and shows that the non-Markovian stochastic dynamics associated with the particle, in the absence of the external time-dependent electric field, reaches an equilibrium state, as is precisely demanded by such a relation. The Jarzynski equality in this problem is also analyzed.

  • Received 9 April 2015
  • Revised 8 June 2015

DOI:https://doi.org/10.1103/PhysRevE.92.022149

©2015 American Physical Society

Authors & Affiliations

J. I. Jiménez-Aquino*

  • Departamento de Física, Universidad Autónoma Metropolitana–Iztapalapa, C.P. 09340, México, Distrito Federal, México

  • *ines@xanum.uam.mx

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Issue

Vol. 92, Iss. 2 — August 2015

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