We study a kinetic model for a system of two species of particles interacting via a repulsive long range potential and with a reservoir at fixed temperature. The interaction between the particles is modeled by a Vlasov term and the thermal bath by a Fokker-Planck term. We show that in the diffusive and sharp interface limit the motion of the interfaces at low temperature is described by a Stefan problem or a Mullins-Sekerka motion, depending on the time scale.
Manzi, G., Marra, R. (2004). A kinetic model of interface motion. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 18, 715-724 [10.1142/S0217979204024331].
A kinetic model of interface motion
MARRA, ROSSANA
2004-01-01
Abstract
We study a kinetic model for a system of two species of particles interacting via a repulsive long range potential and with a reservoir at fixed temperature. The interaction between the particles is modeled by a Vlasov term and the thermal bath by a Fokker-Planck term. We show that in the diffusive and sharp interface limit the motion of the interfaces at low temperature is described by a Stefan problem or a Mullins-Sekerka motion, depending on the time scale.File in questo prodotto:
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