Dhar, A. ; Wagh, K. (2007) Equilibration problem for the generalized Langevin equation Europhysics Letters, 79 (6). No pp. given. ISSN 0295-5075
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Official URL: http://iopscience.iop.org/0295-5075/79/6/60003
Related URL: http://dx.doi.org/10.1209/0295-5075/79/60003
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.
Item Type: | Article |
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Source: | Copyright of this article belongs to EDP Sciences. |
ID Code: | 79686 |
Deposited On: | 28 Jan 2012 12:10 |
Last Modified: | 18 May 2016 21:58 |
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