05-196 Jani Lukkarinen, Herbert Spohn

Kinetic Limit for Wave Propagation in a Random Medium (388K, LaTeX 2e with 3 EPS figures) May 31, 05

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Abstract. 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 dispersion relation is assumed to be a Morse function and to suppress crossed recollisions. We then prove that in the limit epsilon to 0 the disorder averaged Wigner function on the kinetic scale, time and space of order epsilon^(-1), is governed by a linear Boltzmann equation.

Files: 05-196.src( 05-196.keywords , rmasses.tex , Gbpath.eps , GrSimple.eps , graphex.eps )