Abstract
We are concerned here with the problems encountered in the derivation of nonlinear transport equations from a correspondingly nonlinear Langevin equation. A dynamical coupling between the time-dependent averages and the fluctuations must be accounted for by a procedure which leads to a renormalization of the nonlinear transport equation. Generalizing the familiar phenomenological approach to Brownian motion to nonlinear dynamics, we illustrate how the problem arises and show how the fluctuation renormalization can be obtained exactly by a formal procedure or approximately by more tractable methods.
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Sture, K., Nordholm, J. & Zwanzig, R. Strategies for fluctuation renormalization in nonlinear transport theory. J Stat Phys 11, 143–158 (1974). https://doi.org/10.1007/BF01012516
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DOI: https://doi.org/10.1007/BF01012516