9 papers
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…
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…
Dynamical Transitions in Trapped Superfluids Excited by Alternating Fields
V. I. Yukalov, E. P. Yukalova
The paper presents a survey of some dynamical transitions in nonequilibrium trapped Bose-condensed systems subject to the action of alternating fields. Nonequilibrium states of tra…
Measure of entanglement production by quantum operations
V. I. Yukalov, E. P. Yukalova
A measure of entanglement production by quantum operations is suggested. This measure is general, being valid for operations over pure states as well as over mixed states, for equi…
Self-similar renormalization for nonlinear problems
V. I. Yukalov, E. P. Yukalova
A new method, called the method of self-similar approximants, and its recent developments are described. The method is based on the ideas of renormalization group theory and optima…