IWNET12
IWNET12
Self-Propelling Particles as a New Challenge for the Non-equilibrium
Statistical Mechanics
O. O. Chepizhko1, V.L. Kulinskii1
1 Odessa University, Department of Theoretical Physics, 2 Dvoryanskaya Str., Odessa 65026, Ukraine
Abstract
The dynamics of the systems of self-propelling particles have attracted much attention in last two decades.
The minimal model which is widely used for modeling such systems is the Vicsek. In essential, these systems
are represented as the mechanical systems with the nonholonomical constraints for the velocities. It has been
discovered that the introduction of noise leads to the transitions between dierent dynamical regimes. The
microscopic dynamical equations for such systems are nonhamiltonian. This hinders the application of the
machinery of the standard nonequilibrium theory based on the Liouville equation etc. In such situation the only
way is the kinetic approach much like Boltzmann original derivation of the kinetic equation. In this contribution
we represent some results on the kinetic regime of the Vicsek model the hydrodynamic limit and the relation
with the Kuramoto model of the spontaneous synchronization.
E-mail: kulinskij@onu.edu.ua

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