Memory effects on the convergence properties of the Jarzynski equality

Steve Presse, R. J. Silbey

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper we consider solvable model systems on which finite-time work is done. For the systems and changes in state considered, there is no entropic change and the ensuing work distribution is Gaussian. We focus on the fluctuations in the work for such systems, arising from system-bath interactions and finite system recurrences, and study the resulting effect of dynamical broadening on the corresponding distribution P (e- β0 W). This allows us to describe the dependence of P (e- β0 W) on time and system-bath interactions. From the long-time behavior of the work fluctuations and P (e- β0 W), we clarify both (i) when a stochastic treatment of the dynamics may be legitimately invoked and (ii) how information on the system-bath interaction for stochastic, near-equilibrium, systems may be extracted for such processes where a final temperature is well defined.

Original languageEnglish (US)
Article number061105
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume74
Issue number6
DOIs
StatePublished - Dec 18 2006
Externally publishedYes

Fingerprint

Memory Effect
Convergence Properties
Equality
baths
interactions
normal density functions
Interaction
Fluctuations
Solvable Models
Long-time Behavior
Recurrence
Well-defined
temperature

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Memory effects on the convergence properties of the Jarzynski equality. / Presse, Steve; Silbey, R. J.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 74, No. 6, 061105, 18.12.2006.

Research output: Contribution to journalArticle

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