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Testing ground for fluctuation theorems: The one-dimensional Ising model.

C G O Lemos1, M Santos1, A L Ferreira2

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Physical Review. E
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Summary
This summary is machine-generated.

This study validates Jarzynski

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • The Jarzynski equality connects free energy differences to nonequilibrium work.
  • Understanding nonequilibrium processes is crucial in statistical mechanics.

Purpose of the Study:

  • To determine the nonequilibrium magnetic work in an Ising model.
  • To test the validity of Jarzynski's fluctuation theorem and Crooks relation.
  • To propose a method for calculating the lag in thermodynamic systems.

Main Methods:

  • Applying Jarzynski's fluctuation theorem to a one-dimensional Ising model.
  • Calculating the probability distribution function for work in forward and reverse processes.
  • Analyzing the system's lag using macroscopic variables.

Main Results:

  • Jarzynski's theorem holds true for all magnetic field variation rates.
  • Crooks relation predictions are accurate for the Ising model.
  • A method to calculate the system's lag was proposed and analyzed.

Conclusions:

  • The Jarzynski and Crooks relations are valid for the Ising model under nonequilibrium conditions.
  • The proposed lag calculation method provides insights into system dynamics.
  • Nonequilibrium work and system lag are dependent on field variation rates and system size.