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Nonequilibrium thermodynamics with binary quantum correlations.

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Nonlocal quantum kinetic equations reveal molecular contributions to thermodynamic quantities. These findings extend the Landau quasiparticle picture and prove Boltzmann's H theorem, enhancing our understanding of kinetic theory.

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Area of Science:

  • Quantum kinetic theory
  • Statistical mechanics
  • Thermodynamics

Background:

  • Thermodynamic quantities are typically described by local equilibrium assumptions.
  • Quantum kinetic equations provide a framework for non-equilibrium systems.
  • Understanding molecular contributions is crucial for refining these descriptions.

Purpose of the Study:

  • Derive balance equations for thermodynamic quantities from nonlocal quantum kinetic equations.
  • Investigate the role of nonlocal collisions and molecular contributions.
  • Extend the Landau quasiparticle picture to include two-particle molecular effects.

Main Methods:

  • Derivation of balance equations using nonlocal quantum kinetic theory.
  • Analysis of molecular contributions in terms of scattering phase shifts.
  • Extension of the two-particle entropy formulation.
  • Examination of energy and momentum correlations.

Main Results:

  • Nonlocal collisions introduce molecular contributions to observables and currents.
  • Molecular contributions are quantified by formation rate and lifetime (collision duration).
  • Explicit expressions for molecular contributions derived using scattering phase shifts.
  • Two-particle entropy formulation extends the Landau quasiparticle picture.
  • Continuous energy and momentum exchange between correlated variables observed.

Conclusions:

  • Molecular contributions are integral to thermodynamic quantities in nonlocal systems.
  • The study provides a more complete description of entropy and validates Boltzmann's H theorem.
  • Findings advance the understanding of kinetic theory and non-equilibrium statistical mechanics.