Abstract
We propose an approach to investigate properties of the time relaxation to stationary nonequilibrium states of correlation functions of stochastic Ginzburg–Landau models with noise (temperature of the reservoirs in contact with the system) changing in space. The formalism relates the stochastic expectations to correlation functions of an imaginary time field theory, and it allows us to study the nonlinear dynamics in terms of a field theory given by a perturbation of a Gaussian measure related to the (easier) linear dynamical problem. To show the usefulness of the formalism, we argue that a perturbative analysis within the integral representation is enough to give us the time relaxation rates of the correlations in some situations.
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Pereira, E. Relaxation to Stationary Nonequilibrium States in Stochastic Ginzburg–Landau Models. Letters in Mathematical Physics 64, 129–135 (2003). https://doi.org/10.1023/A:1025768220734
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DOI: https://doi.org/10.1023/A:1025768220734