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Related Experiment Videos

Fluctuation theorem for Hamiltonian systems: Le Chatelier's principle.

D J Evans1, D J Searles, E Mittag

  • 1Research School of Chemistry, Australian National University, Canberra ACT 2601, Australia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 21, 2001
PubMed
Summary

The fluctuation theorem, previously thought to require thermostating, can be derived for Hamiltonian systems. This finding expands the applicability of fluctuation theorems in physics and thermodynamics.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Non-equilibrium Physics

Background:

  • The fluctuation theorem provides analytical expressions for entropy production ratios in thermostated dissipative systems.
  • It was widely believed that thermostating mechanisms were essential for systems obeying fluctuation theorems.

Purpose of the Study:

  • To investigate the applicability of fluctuation theorems to systems without explicit thermostating.
  • To demonstrate that fluctuation theorems can be derived for purely Hamiltonian systems.

Main Methods:

  • Theoretical derivation of fluctuation theorems.
  • Analysis of purely Hamiltonian systems, with and without applied dissipative fields.

Main Results:

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  • A fluctuation theorem can be derived for purely Hamiltonian systems.
  • The presence of a thermostating mechanism is not a prerequisite for satisfying a fluctuation theorem.

    • Conclusions:

    • The scope of fluctuation theorems is broader than previously assumed.
    • Hamiltonian systems, even without external dissipation, can exhibit fluctuation theorem properties.