Journal of Statistical Physics

, Volume 34, Issue 1, pp 329-343

First online:

Regression law and the renormalization of the transport coefficients

  • J. L. Del RioAffiliated withDepartment of Physics, U.A.M.-IztapalapaEscuela Superior de Física y Matemáticas del I.P.N.

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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