2019
Том 71
№ 11

All Issues

Gorunovich V. V.

Articles: 2
Article (Russian)

Phase transition in an exactly solvable model of interacting bosons

Gorunovich V. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1997. - 49, № 2. - pp. 196–205

In the formalism of the grand canonical ensemble, we study a model system of a lattice Bose gas with repulsive hard-core interaction on a perfect graph. We show that the corresponding ideal system may undergo a phase transition (Bose-Einstein condensation). For a system of interacting particles, we obtain an explicit expression for pressure in the thermodynamic limit. The analysis of this expression demonstrates that the phase transition does not take place in the indicated system.

Article (Ukrainian)

Mathematical description of a charged-particle system near a porous membrane

Gorunovich V. V., Rebenko A. L.

Full text (.pdf)

Ukr. Mat. Zh. - 1988. - 40, № 1. - pp. 114-117