138 citations · 442 across the 16 of their papers we have counts for
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Quantum supremacy of the many-body fluctuations in the occupations of the excited particle states in a Bose-Einstein-condensed gas
Vitaly V. Kocharovsky, Vladimir V. Kocharovsky, Sergey V. Tarasov
We find a universal analytic formula for a characteristic function (Fourier transform) of a joint probability distribution for the particle occupation numbers in a BEC gas and the…
Self-similar analytical solution of the critical fluctuations problem for the Bose-Einstein condensation in an ideal gas
Vitaly V. Kocharovsky, Vladimir V. Kocharovsky
Paper is published in J. Phys. A: Math. Theor. 43 (2010) 225001, doi:10.1088/1751-8113/43/22/225001. Exact analytical solution for the universal probability distribution of the ord…
Analytical theory of mesoscopic Bose-Einstein condensation in ideal gas
Vitaly V. Kocharovsky, Vladimir V. Kocharovsky
We find universal structure and scaling of BEC statistics and thermodynamics for mesoscopic canonical-ensemble ideal gas in a trap for any parameters, including critical region. We…
Microscopic theory of a phase transition in a critical region: Bose-Einstein condensation in an interacting gas
Vitaly V. Kocharovsky, Vladimir V. Kocharovsky
We present a microscopic theory of the second order phase transition in an interacting Bose gas that allows one to describe formation of an ordered condensate phase from a disorder…
Microscopic theory of phase transitions in a critical region
Vitaly V. Kocharovsky, Vladimir V. Kocharovsky
The problem of finding a microscopic theory of phase transitions across a critical point is a central unsolved problem in theoretical physics. We find a general solution to that pr…
Exact general solution to the three-dimensional Ising model and a self-consistency equation for the nearest-neighbors' correlations
Vitaly V. Kocharovsky, Vladimir V. Kocharovsky
We find an exact general solution to the three-dimensional (3D) Ising model via an exact self-consistency equation for nearest-neighbors' correlations. It is derived by means of an…