Stochastic Analysis, Stochastic Partial Differential Equations and Applications to Fluid Dynamics and Particle Systems
timetable:
Mon 5 Jun, 14:15 - 14:45, Aula Mancini
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seminar: Mott variable-range random walk
speaker: Alessandra Faggionato (Universita` La Sapienza, Roma)abstract: Mott variable-range random walk is a random walk in a random environment used to model phonon-assisted hopping conduction in disordered solids in which the Fermi level lies in a region of strong Anderson localization. In dimension larger than 1 Mott random walk is diffusive and we give some bounds on the diffusion matrix in agreement with Mott-Efros-Shklovskii law. In dimension 1 we show that the random walk can be diffusive or subdiffusive depending on the law of the environment. In the diffusive case, we derive the qualitative behavior of the diffusion constant at low temperature.
timetable:
Mon 5 Jun, 14:15 - 14:45, Aula Mancini
<< Go back