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My main field of activity is the statistical mechanics of
non-equilibrium systems. Currently I am studying scaling and
asymptotic properties of models with intermittent evolution like
sandpiles and absorbing phase transition: directed percolation,
contact process, branching annihilating random walk, trapping
reaction. On point I focus on is to find the equation for the scaling
function, which appear in the distribution of the total number of
particles in the critical state, starting from a microscopic
Fokker-Planck equation. On a more applied side I have studied the
applicability of statistical models and diffusion process to the
earthquakes models, fluid flow through porous medium and particle
diffusion in random fields.
A distinct problem in which I have worked on recently is the numerical
solution of the superconductor equation for the asymmetric Hubbard
model using the formalism of Hubbard operators.
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