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Related Experiment Video

Updated: Aug 9, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Work statistics in slow thermodynamic processes.

Jie Gu1

  • 1Chengdu Academy of Education Sciences, Chengdu 610036, China.

The Journal of Chemical Physics
|February 22, 2023
PubMed
Summary
This summary is machine-generated.

We derived the full counting statistics for thermodynamic processes using the adiabatic approximation. This reveals connections between average work, free energy changes, dissipated work, and thermodynamic geometry via fluctuation-dissipation relations.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Quantum Mechanics

Background:

  • Understanding thermodynamic processes at finite times is crucial.
  • The adiabatic approximation simplifies complex systems.
  • Full counting statistics provide detailed information about work distribution.

Purpose of the Study:

  • To apply the adiabatic approximation to finite-time thermodynamic processes.
  • To derive the full counting statistics of work.
  • To explore the relationship between work components and thermodynamic geometry.

Main Methods:

  • Application of the adiabatic approximation.
  • Derivation of full counting statistics for work.
  • Analysis of average work components (free energy change and dissipated work).

Main Results:

  • Obtained the full counting statistics of work for slow, finite-time processes.
  • Identified average work terms as dynamical- and geometric-phase-like quantities.
  • Provided an explicit expression for the friction tensor in thermodynamic geometry.

Conclusions:

  • The dynamical and geometric phases are intrinsically linked.
  • This link is established through the fluctuation-dissipation relation.
  • The study offers insights into the fundamental nature of work and dissipation in thermodynamic systems.