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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Quantum-classical correspondence principles for locally nonequilibrium driven systems.

Eric Smith1

  • 1Santa Fe Institute, Santa Fe, NM 87501, USA. desmith@santafe.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 21, 2008
PubMed
Summary
This summary is machine-generated.

This study introduces current-valued state variables for nonequilibrium statistical mechanics, unifying classical and quantum descriptions. It reveals how Martin-Siggia-Rose and Schwinger-Keldysh formalisms offer distinct insights into identical quantum ensembles.

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Area of Science:

  • Statistical Mechanics
  • Quantum Field Theory
  • Non-equilibrium Dynamics

Background:

  • Equilibrium statistical mechanics uses time-reversal invariant 'charge' variables.
  • Nonequilibrium studies focus on 'current' variables, which change sign under time reversal.
  • Classical and quantum descriptions of currents are currently fragmented.

Purpose of the Study:

  • To generalize equilibrium statistical mechanics principles to include current-valued variables.
  • To explore the relationship between classical and quantum descriptions of currents.
  • To clarify the mapping between Martin-Siggia-Rose (MSR) and Schwinger-Keldysh (SK) formalisms.

Main Methods:

  • Developing a generalized framework for quantum ensembles robust to decoherence.
  • Analyzing systems where both MSR and SK formalisms are applicable.
  • Comparing classical and quantum descriptions of currents within these formalisms.

Main Results:

  • Demonstrated a natural generalization of equilibrium statistical mechanics incorporating current variables.
  • Showcased instances where MSR and SK formalisms yield inequivalent descriptions of the same quantum ensemble.
  • Established a basis for studying the correspondence between classical and quantum current descriptions.

Conclusions:

  • The generalized framework accommodates current-valued variables, essential for nonequilibrium systems.
  • The MSR and SK formalisms, while homologous, can offer distinct classical and quantum perspectives.
  • This work bridges the gap between classical and quantum descriptions of nonequilibrium phenomena.