Journal
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
Volume 117, Issue 4, Pages 487-513Publisher
ELSEVIER
DOI: 10.1016/j.spa.2006.08.006
Keywords
hydrodynamic limit; Hamiltonian system
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We consider a heat conduction model for solids. Nearest neighbour atoms interact as coupled oscillators exchanging velocities in such a way that the total energy is conserved. The system is considered under periodic boundary conditions. We will show that the system has a hydrodynamic limit given by the solution of the heat equation and we discuss some aspects of the model. (c) 2006 Elsevier B.V. All rights reserved.
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