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math-ph2005★ 64 cited
Kinetic Limit for Wave Propagation in a Random Medium
Jani Lukkarinen, Herbert Spohn
We study crystal dynamics in the harmonic approximation. The atomic masses are weakly disordered, in the sense that their deviation from uniformity is of order epsilon^(1/2). The d…
math-ph2003★ 171 cited
Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
Federico Bonetto, Joel L. Lebowitz, Jani Lukkarinen
We consider a d-dimensional harmonic crystal in contact with a stochastic Langevin type heat bath at each site. The temperatures of the "exterior" left and right heat baths are at…