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Energy-momentum relation for solitary waves of relativistic wave equations
T. V. Dudnikova, A. I. Komech, H. Spohn
Solitary waves of relativistic invariant nonlinear wave equation with symmetry group U(1) are considered. We prove that the energy-momentum relation for spherically symmetric solit…
On a Two-Temperature Problem for Wave Equation
T. V. Dudnikova, A. I. Komech, H. Spohn
Consider the wave equation with constant or variable coefficients in . The initial datum is a random function with a finite mean density of energy that also satisfies a Rosen…
A Remark on the Strict Positivity of the Entropy Production
Walter H. Aschbacher, Herbert Spohn
We establish an algebraic criterion which ensures the strict positivity of the entropy production in quantum models consisting of a small system coupled to thermal reservoirs at di…
A determinantal formula for the GOE Tracy-Widom distribution
Patrik L. Ferrari, Herbert Spohn
Investigating the long time asymptotics of the totally asymmetric simple exclusion process, Sasamoto obtains rather indirectly a formula for the GOE Tracy-Widom distribution. We es…
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…
Local stationarity for lattice dynamics in the harmonic approximation
T. V. Dudnikova, H. Spohn
We consider the lattice dynamics in the harmonic approximation for We consider the lattice dynamics in the harmonic approximation for a simple hypercubic lattice with arbitrary uni…