Non-equilibrium correction to the Gross-Pitaevskii dynamics.

Nadejda Zolobova

Kirensky Institute of Physics SB RAS

Quantum system with dynamics governed by the Gross-Pitaevskii equation is under consideration. The system assumed to be placed in a thermostate. Nonequilibrium hydrodynamic-like equations for this case are obtained basing on the formalisation of the Ehrenfest’s coarse-graining idea (Gorban A.N. at al, Phys. Rev. E 63, 066124 (2001)). description: Methods of construction of irreversible dynamics from reversible equation of motion. Non-linear Schrodinger equation, searching for exact solutions by the Lie symmetries groups.