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On the Crooks fluctuation theorem and the Jarzynski equality.

L Y Chen1

  • 1Department of Physics, University of Texas at San Antonio, San Antonio, Texas 78249, USA. liao.chen@utsa.edu

The Journal of Chemical Physics
|December 3, 2008
PubMed
Summary

The Jarzynski equality and Crooks fluctuation theorem are equally applicable. Their use may be limited to near-equilibrium processes, similar to the linear fluctuation-dissipation theorem.

Area of Science:

  • Statistical mechanics
  • Non-equilibrium thermodynamics

Background:

  • The Jarzynski equality (JE) and Crooks fluctuation theorem (CFT) are key theoretical tools in non-equilibrium statistical mechanics.
  • Recent research has debated the relative applicability of JE and CFT, with some suggesting CFT has broader use.

Purpose of the Study:

  • To clarify the scope and limitations of the Jarzynski equality and Crooks fluctuation theorem.
  • To investigate the conditions under which both JE and CFT are applicable.

Main Methods:

  • Theoretical analysis of non-equilibrium statistical mechanics.
  • Comparison of the mathematical frameworks of JE and CFT.

Main Results:

  • This study demonstrates that the Jarzynski equality and Crooks fluctuation theorem possess equal applicability.

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  • The applicability of both theorems appears restricted to processes near equilibrium.

    • Conclusions:

    • JE and CFT are equally applicable in non-equilibrium thermodynamics.
    • The findings suggest a potential limitation of both JE and CFT to near-equilibrium systems, aligning with the domain of the linear fluctuation-dissipation theorem.