Journal of Statistical Physics

, Volume 34, Issue 1, pp 329–343

Regression law and the renormalization of the transport coefficients

  • J. L. Del Rio

DOI: 10.1007/BF01770363

Cite this article as:
Del Rio, J.L. J Stat Phys (1984) 34: 329. doi:10.1007/BF01770363


Using Mazur's lemma we show that the coarse-grained variables used in nonequilibrium statistical mechanics are the Onsager's regression variables. With this result we find a regression law for the fluctuations which is both non-Markovian and nonlinear. Considering the Markovian approximation and generalizing Onsager's ideas leading to the symmetry of the transport matrix, we formulate Mori and Fujisaka's method for the renormalization of transport coefficients due to nonlinear interactions.

Key words

Coarse-grained variables Onsager's regression variables Mazur's lemma renormalization of the transport coefficients Mori-Fujisaka method projector operator 

Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • J. L. Del Rio
    • 1
    • 2
  1. 1.Department of PhysicsU.A.M.-IztapalapaMexico 13, D.F.
  2. 2.Escuela Superior de Física y Matemáticas del I.P.N.Zacatenco, México 14, D.F.

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