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Measuring thermodynamic length.

Gavin E Crooks1

  • 1Physical Bioscience Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA. GECrooks@lbl.gov

Physical Review Letters
|October 13, 2007
PubMed
Summary
This summary is machine-generated.

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Thermodynamic length, a metric for equilibrium states, bounds dissipation in finite-time transformations. Surprisingly, Bennett's acceptance ratio method for free energy differences also measures this crucial thermodynamic length.

Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Non-equilibrium Systems

Background:

  • Thermodynamic length quantifies distance between equilibrium states.
  • It bounds dissipation in finite-time transformations.
  • Connections exist to Jensen-Shannon divergence, Fisher information, and Rao's entropy differential metric.

Purpose of the Study:

  • Define thermodynamic length for small systems in equilibrium.
  • Develop methods to measure thermodynamic length in computer simulations.

Main Methods:

  • Utilize equilibrium statistical mechanics for system description.
  • Employ computer simulations to measure thermodynamic length.
  • Leverage Bennett's acceptance ratio method.

Related Experiment Videos

Main Results:

  • Successfully defined thermodynamic length for small equilibrium systems.
  • Demonstrated a method for measuring thermodynamic length via computer simulation.
  • Discovered that Bennett's acceptance ratio method inherently measures thermodynamic length.

Conclusions:

  • Thermodynamic length is a key metric for understanding non-equilibrium matter.
  • Bennett's acceptance ratio method offers a practical approach to measuring thermodynamic length.
  • This finding simplifies the quantification of thermodynamic length in simulations.