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Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation
Tomohiro Sasamoto, Herbert Spohn
The continuum Kardar-Parisi-Zhang equation in one dimension is lattice discretized in such a way that the drift part is divergence free. This allows to determine explicitly the sta…
Dynamical phase transition for a quantum particle source
Maximilian Butz, Herbert Spohn
We analyze the time evolution describing a quantum source for noninteracting particles, either bosons or fermions. The growth behaviour of the particle number (trace of the density…
Heat transport and phonon localization in mass-disordered harmonic crystals
Abhishek Chaudhuri, Anupam Kundu, Dibyendu Roy +3
We investigate the steady state heat current in two and three dimensional disordered harmonic crystals in a slab geometry, connected at the boundaries to stochastic white noise hea…
The retarded van der Waals potential - revisited
Tadahiro Miyao, Herbert Spohn
The retarded van-der-Waals potential, as first obtained by Casimir and Polder, is usually computed on the basis of nonrelativistic QED. The hamiltonian describes two infinitely hea…
Weakly nonlinear Schrödinger equation with random initial data
Jani Lukkarinen, Herbert Spohn
It is common practice to approximate a weakly nonlinear wave equation through a kinetic transport equation, thus raising the issue of controlling the validity of the kinetic limit…