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Processes that are far both from equilibrium and from phase transition are studied. It is shown that a process with mean velocity that exhibits power-law growth in time can be analyzed using the Langevin equation with multiplicative noise. The solution to the corresponding Fokker-Planck equation is derived. Results of the numerical solution of the Langevin equation and simulation of the motion of particles in a billiard system with a time-dependent boundary are presented.

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We propose the model of liquid water as an ideal mixture of small water associates in dynamical equilibrium state for description of the temperature dependence of the valence band shape in the Raman spectrum. The Placzek's theory of vibrational Raman scattering is used for the spectrum simulation. The presented model gives valid results, which are in qualitative agreement with experimental data in the temperature range -20. . . 80• C. We show that clusters consisting of three and four water molecules dominate in the given temperature range, but monomer and dimer concentrations are relatively small at room temperature. Different polarization types of Raman spectra are discussed.Raman intensity, arb. units