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Title: Equilibration problem for the generalized Langevin equation
Authors: Dhar, Abhishek
Wagh, K.
Issue Date: Aug-2007
Publisher: EDP Sciences / Institute of Physics Publishing (IOP)
Citation: Europhysics Letters, 2007, Vol.79, 60003
Abstract: We consider the problem of equilibration of a single-oscillator system with dynamics given by the generalized classical Langevin equation. It is well known that this dynamics can be obtained if one considers a model where the single oscillator is coupled to an infinite bath of harmonic oscillators which are initially in equilibrium. Using this equivalence we first determine the conditions necessary for equilibration for the case when the system potential is harmonic. We then give an example with a particular bath where we show that, even for parameter values where the harmonic case always equilibrates, with any finite amount of nonlinearity the system does not equilibrate for arbitrary initial conditions. We understand this as a consequence of the formation of nonlinear localized excitations similar to the discrete breather modes in nonlinear lattices.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
ISSN: E-ISSN: 1286-4854
P-ISSN: 0295-5075
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Copyright: 2007 IOP Publishing Ltd.
Appears in Collections:Research Papers (TP)

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