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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Maximum caliber inference of nonequilibrium processes.

Moritz Otten1, Gerhard Stock

  • 1Biomolecular Dynamics, Institute of Physics, Albert Ludwigs University, 79104 Freiburg, Germany.

The Journal of Chemical Physics
|July 24, 2010
PubMed
Summary
This summary is machine-generated.

Maximum caliber (MaxCal) is a powerful inference method for nonequilibrium statistical mechanics. This study demonstrates MaxCal

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Area of Science:

  • Statistical Mechanics
  • Dynamical Processes
  • Computational Physics

Background:

  • Maximum entropy is a principle for equilibrium statistical mechanics.
  • Maximum caliber (MaxCal) is a variational principle for nonequilibrium dynamics.
  • MaxCal offers a framework for inferring dynamic processes.

Purpose of the Study:

  • Apply the MaxCal formulation to infer nonequilibrium processes.
  • Develop a practical numerical implementation of MaxCal.
  • Validate MaxCal's efficacy using few-state models.

Main Methods:

  • Constructing models to reproduce time-dependent observables.
  • Calculating ensemble trajectory probabilities using MaxCal.
  • Analyzing dynamical quantities like population probabilities and fluxes.

Main Results:

  • MaxCal successfully infers underlying system dynamics from time-resolved data.
  • The method is robust and accurate with sufficient input data.
  • MaxCal handles diverse time dependencies, including oscillatory transients.

Conclusions:

  • MaxCal serves as a practical and unbiased inference method for nonequilibrium systems.
  • The approach is general and applicable to complex dynamical processes.
  • MaxCal provides a robust framework for analyzing time-dependent phenomena.