Nonequilibrium dynamics of a stochastic model of anomalous heat transport

numerical analysis

L. Delfini, S. Lepri, R. Livi, C. Mejia-Monasterio, A. Politi

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We study heat transport in a chain of harmonic oscillators with random elastic collisions between nearest-neighbours. The equations of motion of the covariance matrix are numerically solved for free and fixed boundary conditions. In the thermodynamic limit, the shape of the temperature profile and the value of the stationary heat flux depend on the choice of boundary conditions. For free boundary conditions, they also depend on the coupling strength with the heat baths. Moreover, we find a strong violation of local equilibrium at the chain edges that determine two boundary layers of size root N (where N is the chain length) that are characterized by a different scaling behaviour from the bulk. Finally, we investigate the relaxation towards the stationary state, finding two long time scales: the first corresponds to the relaxation of the hydrodynamic modes; the second is a manifestation of the finiteness of the system.

Original languageEnglish
Article number145001
Number of pages16
JournalJournal of Physics. A, Mathematical and theoretical
Volume43
Issue number14
DOIs
Publication statusPublished - 9 Apr 2010

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Nonequilibrium Dynamics
Heat Transport
Stochastic models
Anomalous
numerical analysis
Stochastic Model
Numerical analysis
Numerical Analysis
free boundaries
Boundary conditions
boundary conditions
heat
Hydrodynamic Modes
Elastic collision
Local Equilibrium
Heat Bath
Temperature Profile
Thermodynamic Limit
Scaling Behavior
Stationary States

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Nonequilibrium dynamics of a stochastic model of anomalous heat transport : numerical analysis. / Delfini, L.; Lepri, S.; Livi, R.; Mejia-Monasterio, C.; Politi, A.

In: Journal of Physics. A, Mathematical and theoretical, Vol. 43, No. 14, 145001, 09.04.2010.

Research output: Contribution to journalArticle

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