Stress-strain fluctuations in non-linear hydrodynamics

Ronald Forrest Fox

Physica A: Statistical Mechanics and its Applications, 1982, vol. 112, issue 3, 505-513

Abstract: Two different formulations of hydrodynamic fluctuations in the non-linear regime have been proposed. One of these involves a stress-strain fluctuation term of multiplicative type, and consequently this formulation was criticized by Fox three years ago. Recently, Saarloos, Bedeaux and Mazur have proposed such a formulation again, and have criticized Fox's original criticism. In the present paper, it is again shown that multiplicative stress-strain fluctuations lead to unphysical divergences, and that Saarloos, Bedeaux and Mazur have failed to observe that a stochastic quantity, x̃, may have zero mean, =0, but a divergent second moment 〈(x̃)2〉=∞. In addition, they have failed to note the limitations of time reversal invariance arguments in macroscopic physics, and they have overlooked important distinctions regarding transverse and longitudinal modes in hydrodynamics. These issues are elucidated in this paper.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:112:y:1982:i:3:p:505-513

DOI: 10.1016/0378-4371(82)90191-1

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