Hydrodynamics for a system of harmonic oscillators perturbed by a conservative noise

Cédric Bernardin

Stochastic Processes and their Applications, 2007, vol. 117, issue 4, 487-513

Abstract: 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.

Keywords: Hydrodynamic; limit; Hamiltonian; system (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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