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The fluctuation-dissipation theorem for non-Markov processes and their contractions: The role of the stationarity condition

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  • Medina-Noyola, M.
  • Del Rio-Correa, J.L.

Abstract

A demonstration is given of the equivalence between the stationarity condition of an N-dimensional stochastic process a(t), defined as the solution of a generalized Langevin equation with random initial values, with the (“second”) fluctuation-dissipation theorem. As a result, it is shown that a similar relation also holds for any stochastic process obtained as a projection of a(t) into a subspace of the original space.

Suggested Citation

  • Medina-Noyola, M. & Del Rio-Correa, J.L., 1987. "The fluctuation-dissipation theorem for non-Markov processes and their contractions: The role of the stationarity condition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 146(3), pages 483-505.
    • Handle: RePEc:eee:phsmap:v:146:y:1987:i:3:p:483-505
    DOI: 10.1016/0378-4371(87)90281-0
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    Cited by:

    1. Hernández-Contreras, M. & Medina-Noyola, M. & Vizcarra-Rendón, A., 1996. "General theory of tracer-diffussion in colloidal suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 271-310.

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