Abstract
We study the effect of a non-equilibrium state of the bath on the macroscopic motion of a Brownian particle (B.p.) in a linear chain. The macroscopic motion is described by a stochastic process which is non-Markovian and nonstationary due to the initial non-equilibrium of the bath. We derive generalized Langevin equations for this proces. We solve them explicitely for the case of a free B.p. and discuss the resulting mean values. A Markov approximation is valid only in the long time region, non-Markovian transients cannot be neglected. In the long time region the non-equilibrium state of the bath has the same effect as a modified macroscopic initial condition for the B.p.
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Bez, W. Microscopic preparation and macroscopic motion of a Brownian particle. Z. Physik B - Condensed Matter 39, 319–325 (1980). https://doi.org/10.1007/BF01305831
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DOI: https://doi.org/10.1007/BF01305831