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Time splitting for the Liouville equation in a random medium
Time splitting Liouville equation random medium
2015/7/14
We consider the Liouville equations with highly heterogeneous Hamiltonians and their numerical solution by a time splitting algorithm. Such equations model the density of particles evolving according ...
This paper reviews several mathematical techniques that have been developed to analyze the asymptotic behavior of waves and particles propagating in a heterogeneous medium. The heterogeneous medium is...
Multi-Gaussian modes of diffusion in a quenched random medium
Multi-Gaussian modes of diffusion quenched random medium
2010/11/19
We have studied a model of a random walk in a quenched random environment. In addition to
featuring anomalous di usion and localization, for special regimes of disorder parameters the particle densit...
Two-point generating function of the free energy for a directed polymer in a random medium
Directed polymer Lieb-Liniger Bose gas Kardar-Parisi-Zhang equation
2010/11/24
We consider a 1+1 dimensional directed continuum polymer in a Gaussian delta-correlated space-time random potential. For this model the moments (= replica)of the partition function, Z(x, t), can be ex...