Non-stochastic Langevin equation and the arrow of time

H. Simanjuntak and L. Gunther

Physica A: Statistical Mechanics and its Applications, 1988, vol. 147, issue 3, 487-498

Abstract: The behavior of a Brownian particle coupled to a linear harmonic chain is studied using a non-stochastic analysis. We show how a non-stochastic time correlation function of the fluctuating force reproduces the essential properties of the stochastic correlation function under not too restrictive conditions. The width of our correlation function is ωm-1 in time and, for time scales ⪢ωm-1, behaves as a delta function. We discuss how irreversible-like behavior might occur in spite of the reversibility of our Langevin equation and how irreversibility depends upon a restricted narrow class of initial conditions. Our results thus help dispel the mystery of the “arrow of time”.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:147:y:1988:i:3:p:487-498

DOI: 10.1016/0378-4371(88)90166-5

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