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math-phMay 26, 2006
22
citations (OpenAlex)
authors
  • Herbert Spohn
institutions
  • Technical University of Munich
arXiv abstractPDF
paper

Collisional invariants for the phonon Boltzmann equation

arXiv:math-ph/0605069 · doi:10.1007/s10955-006-9180-1

Abstract

For the phonon Boltzmann equation with only pair collisions we characterize the set of all collisional invariants under some mild conditions on the dispersion relation.

References in corpus (1)

  • The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics

Cited by in corpus (14)

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  • Cluster formation in mesoscopic systems
  • Pre-thermalization in a classical phonon field: slow relaxation of the number of phonons
  • Anomalous energy transport in FPU-β chain
  • Kinetic theory of phonons in weakly anharmonic particle chains
  • Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory
  • On the Boltzmann Equation for Weakly Nonlinear Wave Equations
  • Approach to equilibrium for the phonon Boltzmann equation
  • Rigorous study of the equilibria of collision kernels appearing in the theory of weak turbulence
  • Quantum Boltzmann equation for spin-dependent reactions in the kinetic regime
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