Injected power fluctuations in one-dimensional dissipative systems: Role of ballistic transport

Jean Farago and Estelle Pitard
Phys. Rev. E 78, 051114 – Published 17 November 2008

Abstract

This paper is a generalization of the models considered in J. Stat. Phys. 128, 1365 (2007). Using an analogy with free fermions, we compute exactly the large deviation function (LDF) of the energy injected up to time t in a one-dimensional dissipative system of classical spins, where a drift is allowed. The dynamics are T=0 asymmetric Glauber dynamics driven out of rest by an injection mechanism, namely, a Poissonian flipping of one spin. The drift induces anisotropy in the system, making the model more comparable to experimental systems with dissipative structures. We discuss the physical content of the results, specifically the influence of the rate of the Poisson injection process and the magnitude of the drift on the properties of the LDF. We also compare the results of this spin model to simple phenomenological models of energy injection (Poisson or Bernoulli processes of domain wall injection). We show that many qualitative results of the spin model can be understood within this simplified framework.

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  • Received 4 January 2008

DOI:https://doi.org/10.1103/PhysRevE.78.051114

©2008 American Physical Society

Authors & Affiliations

Jean Farago*

  • Institut Charles Sadron CNRS-UPR 22, 6 rue Boussingault Boîte Postal 40016 F-67083 Strasbourg Cedex, France

Estelle Pitard

  • Laboratoire des Verres (CNRS-UMR 5587), CC69, Université Montpellier 2, 34095 Montpellier Cedex 5, France

  • *farago@ics.u-strasbg.fr
  • Estelle.PITARD@LCVN.univ-montp2.fr

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Issue

Vol. 78, Iss. 5 — November 2008

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