We have studied a diffusion model of the excitation and decay of a system of coupled particles in an external field. Using the example of a hydrogen chloride molecule, it is shown that electron oscillations exhibit chaotization that leads to diffusion ionization (or dissociation) in a sufficiently strong microwave field. The dependence of the rate of diffusion ionization on the radiation intensity and ellipticity of polarization and on the energy of excitation of the vibrational and rotational degrees of freedom has been numerically simulated. It is established that the ionization time significantly exceeds the period of electron motion over the undisturbed orbit.

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

Исследуется вакуумное рождение бозонов и фермионов в силь-ном электрическом поле в присутствии однородной электроней-тральной плазмы . В начальном состоянии плазма может быть как равновесной , так и неравновесной с параметрами , характерными для кварк-глюонной плазмы . Показано , что присутствие доста-точно плотной плазмы в начальном состоянии оказывает сущест-венное влияние на процесс образования частиц из вакуума . В зависимости от статистики может наблюдаться как усиление , так и ослабление эффекта рождения пар . В целом процесс вакуум-ного рождения носит необратимый характер : конечное значение энтропии после выключения поля всегда больше ее начального значения , несмотря на то , что кинетическое уравнение обратимо во времени . Полученные результаты могут быть использованы для описания процесса изотропизации кварк-глюонной плазмы при столкновениях релятивистских тяжелых ионов .

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.

The effect of the quark degree of freedom of hadronic matter on the turbulent dynamics of SU(2) Yang-Mills fields is studied by the method of maximum Lyapunov exponents. It is shown that, like a Higgs condensate, static quarks stabilize Yang-Mills fields. Dynamical quarks weaken this stabilizing effect, as Higgs particles do, but quarks affect the dynamics of Yang-Mills fields to a much lesser extent than Higgs particles. The behavior of a quark-gluon system at nonzero temperatures and when it is quantized, as well as the role of quarks in the development of turbulence of Yang-Mills fields, is discussed. Analysis of these issues may contribute to the validation of the Anderson model of color confinement and the bifurcation model of multiparticle hadron production.

The dynamics of SU(2) Yang-Mills (YM) fields, both free fields and fields interacting with Higgs bosons, is investigated by the Poincare surface-of-section method and the method of Lyapunov maximum exponents. As for free YM fields and YM fields interacting with a Higgs condensate, the route to turbulence in the system consisting of YM fields and Higgs particles lies through an infinite sequence of period-doubling bifurcations of the relevant phase trajectory. Prospects for future investigations in this field, such as constructing a consistent dynamical theory of second-order phase transitions on the basis of the analogy between such transitions and the bifurcation transition to chaos, and taking into account the effects of the quark degrees of freedom of hadron matter and of thermal and quantum vacuum fluctuations on the scenario of the development of turbulence in the theory of YM fields, are also discussed.

It is shown by the method of Lyapunov exponents and with the help of the K procedure that the dynamics of the superconducting model of confinement is in many ways similar to the dynamics of consistent QCD. This is one more piece of evidence in favor of the superconducting model of confinement.

We investigate classical spherically symmetric Yang-Mills fields using the direct Lyapunov method. We find that the Wu-Yang monopole is unstable and that the vacuum fields are stable.