Energy Transport in Stochastically Perturbed Lattice Dynamics
نویسندگان
چکیده
منابع مشابه
Energy Transport in Stochastically Perturbed Lattice Dynamics
We consider lattice dynamics with a small stochastic perturbation of order ε and prove that for a space-time scale of order ε the local spectral density (Wigner function) evolves according to a linear transport equation describing inelastic collisions. For an energy and momentum conserving chain the transport equation predicts a slow decay, as 1/ √ t, for the energy current correlation in equil...
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We consider lattice dynamics with a small stochastic perturbation of order ε and prove that for a space-time scale of order ε the local spectral density (Wigner function) evolves according to a linear transport equation describing inelastic collisions. For an energy and momentum conserving chain the transport equation predicts a slow decay, as 1/ √ t, for the energy current correlation in equil...
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We consider lattice dynamics with a small stochastic perturbation of order ε and prove that for a space-time scale of order ε the Wigner function evolves according to a linear transport equation describing inelastic collisions. For an energy and momentum conserving chain the transport equation predicts a slow decay, as 1/ √ t, for the energy current correlation in equilibrium. This is in agreem...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2009
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-008-0205-6