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Time Evolution of Non-Equilibrium Effective Action
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The time evolution of correlation functions in statistical systems is described by an exact functional differential equation for the corresponding generating functionals. This allows for a systematic discussion of non-equilibrium physics and the approach to equilibrium without the need of solving the nonlinear microscopic equations of motion or computing the time dependence of the probability distribution explicitly.
Forward citations
Cited by 3 Pith papers
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Quantum observables for probabilistic classical particles
Solutions of the Liouville equation can be rewritten as a Schrödinger equation whose observables are non-commuting 'quantum' operators, reproducing the harmonic oscillator and hydrogen atom spectra as special subsystems.
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Classical probabilistic transport equations are reformulated as quantum systems whose wave function obeys Schrödinger evolution and whose observables include non-commuting operators for statistical quantities.
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Quantum field theory for classical fields
A classical Klein-Gordon field with random initial conditions, described through specially defined fluctuating observables, obeys the functional-integral rules of a quantum field theory.
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