The SU (2) Yang-Mills fields turbulent dynamics in the thermostats and at their stochastic quantization are investigated by the Langeven’s sources method. It is shown, that the phase transitions as confinement-deconfinement takes place in the chromodynamics with temperature growth, and quantization of the Yang-Mills fields results in increase of the colors correlation radius. 1. Introduction. The urgency of examination of a chaotic character of the gauge fields in the model Yang-Mills (YM) is bound to an opportunity of nonconventional interpretation of the hadronization and the confinement of the color charges carriers (quarks and gluons) in the high-energy physics. Are most accessible to examination the spatially homogeneous and flat gauge fields in the YM model. And plane waves may be shown to the homogeneous case since they are gained from the homogeneous with the help of Lorentz transformation laws. This transformation always exists, in dierence, for example, from the linear massless electrodynamics, due to nonlinearity of the free non-Abelian gauge fields [1]. In spite of the fact that these YM models of fields are extreme simplification for actual the spatially-nonuniform YM fields, their examination represents the considerable interest owing to the following circumstances: 1. The requirement of homogeneity means the long-wave approach (or the strong fields) ‚ >> A i1 (‚;A - the dimensionless wave length and amplitude of the field) and it is possible to hope, that the study of such models of the YM fields is useful for deriving the information on an infrared mode of quantum chromodynamics (QCD); 2. The homogeneous models are important by viewing a problem of quantization of the gauge fields in the YM model. As the chaotic character means fracture of integrals of a motion there is a problem of definition of a hamiltonian spectrum even for the homogeneous system. In particular, the homogeneous YM fields are an example systems, chaotic at as much as small energy density. It means, that in the field of small energies approach of a quantum oscillator is unjustified since the requirement about discreteness of a spectrum of a Hamiltonian is broken; 3. The homogeneous models, due to the mathematical simplicity, allow to study the reference role of nonlinearity - self-activity the gauge fields in the YM model at presence of a finite number of degrees of freedom with an opportunity of a heavy use of computer experiment. It gives the important information on behaviour and the nonuniform gauge YM fields. The finite number of modes actually participates in dynamics of the last in a case, for example, periodic boundary conditions; 4. The important circumstance is bound to properties of absence of an integrability of the nonuniform gauge field in the YM model under condition of it non-integrability in the homogeneous case. The threshold amount of energy of occurrence of random instability depends generally on number of degrees of freedom of system and, as a rule, tends to
A facility for probe measurements of the dispersion characteristics of polycrystalline ferrite plates is described. The measurements are based on the analysis of a fringe pattern of a microwave field under the superposition of a few electromagnetic waves in the studied sample, which was placed in a magnetizing field. It is shown that experimental fringe patterns enable the restoration of dispersion characteristics of polycrystalline ferrite plates within a frequency band of 2–7 GHz at magnetizing fields of 2–3.2 kG.