BooksStandalone TitlesCollected Volumepp. 451–471

Perturbation theory for a non-equilibrium stationary state of a one-dimensional stochastic wave equation

  • Gianluca Guadagni

    University of Virginia, Charlottesville, United States of America
  • Lawrence E. Thomas

    University of Virginia, Charlottesville, United States of America
Perturbation theory for a non-equilibrium stationary state of a one-dimensional stochastic wave equation cover
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Abstract

We address the problem of constructing a non-equilibrium stationary state for a one-dimensional stochastic Klein–Gordon wave equation with non-linearity, using perturbation theory. The linear theory is reviewed, but with the linear equations of motion including an additional potential term which emerges in the renormalization of the perturbation expansion for the state corresponding to the non-linear equations of motion. The potential is the solution to a fixed point equation. Low order terms in the expansion for the two-point function are determined.