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Dynamics of quantum-classical systems in nonequilibrium environments.

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Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Chemical physics

Background:

  • Understanding quantum systems interacting with classical environments is crucial.
  • Systems driven out of equilibrium present unique dynamic challenges.
  • Existing methods often struggle with the complexity of mixed quantum-classical dynamics.

Purpose of the Study:

  • To derive exact equations of motion for the nonequilibrium average values of operators.
  • To develop expressions for dissipative coefficients using correlation functions.
  • To illustrate the framework with a model of quantum particles in metastable states.

Main Methods:

  • Utilizing the quantum-classical Liouville equation.
  • Employing projection operator methods to derive auxiliary field evolution.
  • Deriving coupled reaction-diffusion and fluid hydrodynamic equations.

Main Results:

  • Exact equations of motion for nonequilibrium averages were derived.
  • Expressions for dissipative coefficients were obtained via correlation functions.
  • A model demonstrating reaction-diffusion and hydrodynamic coupling was developed.

Conclusions:

  • The derived equations provide a rigorous framework for studying driven quantum systems.
  • The method offers a pathway to understanding nonequilibrium steady states and transport properties.
  • This approach is applicable to complex systems like quantum solutions.