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Short-time dynamics with initial correlations.

K Morawetz1, M Bonitz, V G Morozov

  • 1Max-Planck-Institut für Physik komplexer Systeme, Noethnitzer Strasse 38, 01187 Dresden, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
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Initial correlations significantly impact short-time dynamics in correlated systems. Exact cancellation occurs in thermal equilibrium, validating non-Markovian kinetic equations and correlation energy evolution.

Area of Science:

  • Statistical mechanics
  • Condensed matter physics

Background:

  • Short-time dynamics of correlated quantum systems are complex.
  • Initial correlations introduce additional terms in kinetic equations.

Purpose of the Study:

  • Investigate the role of initial correlations in non-Markovian kinetic equations.
  • Analyze the time evolution of correlation energy.
  • Establish consistency criteria for theoretical models.

Main Methods:

  • Derivation of non-Markovian kinetic equations.
  • Analytical calculation of correlation energy time evolution.
  • Molecular dynamics simulations for validation.

Main Results:

  • Initial correlations contribute an extra collision integral to kinetic equations.

Related Experiment Videos

  • This integral exactly cancels under thermal equilibrium initial conditions.
  • Analytical predictions for correlation energy dynamics are confirmed by simulations.

    • Conclusions:

    • Thermal equilibrium serves as a crucial consistency check for non-Markovian dynamics.
    • The study provides accurate analytical results for correlation energy evolution.
    • Molecular dynamics simulations validate the theoretical framework.