15 papers
Spontaneous symmetry breaking under Bose--Einstein condensation
V. I. Yukalov
Due to high current interest to Bose-Einstein condensation, the related topics, such as spontaneous gauge symmetry breaking, ergodic decomposition, and particle fluctuations, are i…
Some typical delusions in the theory of Bose-Einstein condensation
V. I. Yukalov
Despite the long history of the theory of Bose-Einstein condensation, there exist till nowadays some slippery points that are often misunderstood and result in confusion. The repor…
Self-similar summation of virial expansions
V. I. Yukalov, E. P. Yukalova
Virial expansions are the series in powers of density assumed to be small. However, the equations of state require to consider finite densities for which virial expansions, as a ru…
Resolving the problem of complex sound velocity in binary Bose mixtures with attractive intercomponent interactions
Abdulla Rakhimov, Sanathon Tukhtasinova, Vyacheslav I. Yukalov
In 2015 Dmitry Petrov theoretically suggested that, in a binary mixture of bosons a quantum liquid droplet may arise due to the competition between attractive intercomponent and re…
Ordering in statistical systems on the way to the thermodynamic limit
V. I. Yukalov, E. P. Yukalova
It is well known that the mathematically accurate description of ordering and related symmetry breaking in statistical systems requires to consider the thermodynamic limit. But the…
Mesoscopic Fluctuations in Statistical Systems
V. I. Yukalov, E. P. Yukalova
The fluctuations are termed mesoscopic, when their typical size is essentially larger then the average distance between the nearest neighbors, while being much smaller than the ove…