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KIAM Preprint № 15, Moscow, 2018
Authors: Dudnikova T. V.
On the non-equilibrium states of the crystal lattice
We consider the Cauchy problem for an infinite crystal lattice in Zd, d ≥ 1, with random initial data. We study the behavior of the distributions of the solutions as t → ∞. The main goal is to find the limiting stationary non-equilibrium states in which there is a constant non-zero heat flux passing through the lattice.
non-equilibrium states, crystal lattice, Cauchy problem, random initial data, weak convergence of measures, Gibbs measures, energy current density
Publication language: russian,  pages: 26
Research direction:
Mathematical problems and theory of numerical methods
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