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Time splitting for the Liouville equation in a random medium
Time splitting Liouville equation random medium
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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 ...
Kinetic limits for waves in a random medium
Kinetic limits waves random medium
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2015/7/14
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
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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
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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...