Energy Transport by Acoustic Modes of Harmonic Lattices

DOI10.1137/070699184zbMath1354.70040arXivmath-ph/0611052OpenAlexW2006273405MaRDI QIDQ5320707

Lisa Harris, Stefan Teufel, Jani Lukkarinen, Florian Theil

Publication date: 22 July 2009

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0611052

zbMATH Keywords

homogenizationmicrolocal analysismultiscale methodsdiscrete wave equations

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Lattice dynamics; integrable lattice equations (37K60) Free motions in linear vibration theory (70J30)

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Collective spontaneous emission and kinetic equations for one-photon light in random media ⋮ Energy transport in stochastically perturbed lattice dynamics ⋮ Lattice Dynamics on Large Time Scales and Dispersive Effective Equations ⋮ Semiclassical diffraction by conormal potential singularities ⋮ Justification of the Cauchy-Born approximation of elastodynamics ⋮ Dynamics of matter and energy ⋮ Wigner measure propagation and conical singularity for general initial data ⋮ Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source

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