Nonequilibrium stationary state of a harmonic crystal with alternating masses

Kannan, Venkateshan ; Dhar, Abhishek ; Lebowitz, J. L. (2012) Nonequilibrium stationary state of a harmonic crystal with alternating masses Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 85 (4). 041118_1-041118_9. ISSN 1539-3755

Full text not available from this repository.

Official URL: http://pre.aps.org/abstract/PRE/v85/i4/e041118

Related URL: http://dx.doi.org/10.1103/PhysRevE.85.041118

Abstract

We analyze the nonequilibrium steady states (NESS) of a one-dimensional harmonic chain of N atoms with alternating masses connected to heat reservoirs at unequal temperatures. We find that the temperature profile defined through the local kinetic energy T(j)≡〈pj2〉/mj oscillates with period two in the bulk of the system. Depending on boundary conditions, either the heavier or the lighter particles in the bulk are hotter. We obtain explicit integral expressions for the bulk temperature profile and steady state current in the limit N→∞. These depend on whether N is odd or even. We also study similar temperature oscillations in the NESS of systems with noise in the dynamics. These die out as N→∞.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:94398
Deposited On:15 Nov 2012 06:02
Last Modified:15 Nov 2012 06:02

Repository Staff Only: item control page