Issue |
EPL
Volume 79, Number 6, September 2007
|
|
---|---|---|
Article Number | 60003 | |
Number of page(s) | 5 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/79/60003 | |
Published online | 21 August 2007 |
Equilibration problem for the generalized Langevin equation
1
Raman Research Institute - Bangalore 560080, India
2
Department of Physics and Astronomy, Rutgers University - Piscataway, NJ 08854-8019, USA
Received:
13
April
2007
Accepted:
30
July
2007
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.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© Europhysics Letters Association, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.