209 citations · 5.6k across the 322 of their papers we have counts for
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Non-Ground-State Bose-Einstein Condensates of Trapped Atoms
V. I. Yukalov, E. P. Yukalova, V. S. Bagnato
The possibility of creating a Bose condensate of trapped atoms in a non-ground state is suggested. Such a nonequilibrium Bose condensate can be formed if one, first, obtains the co…
Nonadiabatic Dynamics of Atoms in Nonuniform Magnetic Fields
V. I. Yukalov
Dynamics of neutral atoms in nonuniform magnetic fields, typical of quadrupole magnetic traps, is considered by applying an accurate method for solving nonlinear systems of differe…
Temporal Dynamics in Perturbation Theory
V. I. Yukalov, E. P. Yukalova
Perturbation theory can be reformulated as dynamical theory. Then a sequence of perturbative approximations is bijective to a trajectory of dynamical system with discrete time, cal…
Evaporation and Condensation of Clusters
V. I. Yukalov, E. P. Yukalova
Influence of surrounding matter on the properties of clusters is considered by an approach combining the methods of statistical and quantum mechanics. A cluster is treated as a bou…
Superconductors with Mesoscopic Phase Separation
A. J. Coleman, E. P. Yukalova, V. I. Yukalov
A model of superconductivity is proposed taking into account repulsive particle interaction, mesoscopic phase separation and softening of crystalline lattice. These features are ty…
Statistical Mechanics of Structural Fluctuations
V. I. Yukalov
The theory of mesoscopic fluctuations is applied to inhomogeneous solids consisting of chaotically distributed regions with different crystalline structure. This approach makes it…
Chaotic Lattice - Gas Model
V. I. Yukalov, E. P. Yukalova
A nonuniform system is considered consisting of two phases with different densities of particles. At each given time the distribution of the phases in space is chaotic: each phase…
Nonlinear Spin Dynamics in Nuclear Magnets
V. I. Yukalov
A method is developed for solving nonlinear systems of differential, or integrodifferential, equations with stochastic fields. The method makes it possible to give an accurate solu…
Origin of Pure Spin Superradiance
V. I. Yukalov
The question addressed in this paper is: What originates pure spin superradiance in a polarized spin system placed inside a resonator? The term "pure" means that no initial coheren…
Multichannel Approach to Clustering Matter
V. I. Yukalov, E. P. Yukalova
An approach is developed, combining the ideas of quantum statistical mechanics and multichannel theory of scattering, for treating statistical systems whose constituents can posses…
Relaxation Regimes of Spin Maser
V. I. Yukalov
Spin relaxation in a microscopic model of spin maser is studied theoretically. Seven qualitatively different regimes are found: free induction, collective induction, free relaxatio…
Renormalization Group Analysis of October Market Crashes
S. Gluzman, V. I. Yukalov
The self-similar analysis of time series, suggested earlier by the authors, is applied to the description of market crises. The main attention is payed to the October 1929, 1987 an…
Resummation Methods for Analyzing Time Series
S. Gluzman, V. I. Yukalov
An approach is suggested for analyzing time series by means of resummation techniques of theoretical physics. A particular form of such an analysis, based on the algebraic self-sim…
Thermodynamics of Strong Interactions
V. I. Yukalov, E. P. Yukalova
The state of art in studying thermodynamic properties of hot and dense nuclear matter is reviewed with the special emphasis on the confinement-deconfinement transition between hadr…
Critical Indices as Limits of Control Functions
V. I. Yukalov, S. Gluzman
A variant of self-similar approximation theory is suggested, permitting an easy and accurate summation of divergent series consisting of only a few terms. The method is based on a…
Self-Similar Bootstrap of Divergent Series
V. I. Yukalov, S. Gluzman
A method is developed for calculating effective sums of divergent series. This approach is a variant of the self-similar approximation theory. The novelty here is in using an algeb…
Algebraic Self-Similar Renormalization in Theory of Critical Phenomena
S. Gluzman, V. I. Yukalov
We consider the method of self-similar renormalization for calculating critical temperatures and critical indices. A new optimized variant of the method for an effective summation…
Local Stability of Dynamical Processes in Random Media
V. I. Yukalov
A particular type of random dynamical processes is considered, in which the stochasticity is introduced through randomly fluctuating parameters. A method of local multipliers is de…