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

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  • Bernardin, Cédric

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.

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  • Bernardin, Cédric, 2007. "Hydrodynamics for a system of harmonic oscillators perturbed by a conservative noise," Stochastic Processes and their Applications, Elsevier, vol. 117(4), pages 487-513, April.
    • Handle: RePEc:eee:spapps:v:117:y:2007:i:4:p:487-513
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    Cited by:

    1. Łukasz Stępień & Zbigniew A. Łagodowski, 2023. "A Stochastic Model of Anomalously Fast Transport of Heat Energy in Crystalline Bodies," Energies, MDPI, vol. 16(20), pages 1-19, October.

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