ARTICLE
TITLE

On the effect of external stochastic field on systems of particles interacting with multiplying and capturing hydrodynamic media

SUMMARY

This work considers dynamics of non-equilibrium long wave fluctuations in systems of particles interacting with multiplying and capturing media, generated by external stochastic field. General dynamic equations for long wave fluctuations are obtained using the method of averaging over external random force. The case of additive Gaussian noise is considered in detail. It is shown that in the case of such an external random force there exists a time interval during which the description of the evolution of the system can be limited to considering only the dynamics of the hydrodynamic pair correlations. Linearised dynamic equations for pair correlations are obtained, and their solutions in case of small spatial inhomogeneity are considered. The formation of stationary states and the problem of their stability is studied. It has been shown that long wave fluctuations can be generated by external random force and dramatically influence on stability of stationary states in some cases.

PAGES
pp. 4 - 21

 Articles related

Y. V. Rudychev    

A combined technique using both Monte-Carlo and quasi-analytic method has been developed for calculation of irradiation from complex objects containing radioactive waste. Monte Carlo method is used to calculate spectral, angular and spatial distribu... see more


Victor Tkachenko, Boris Borts, Alexandra Alforova    

The model is proposed for describing a real water molecule by its two-dimensional analog, namely, the virtual molecule (VM). The proposed VM model provides the condition of coincidence between the fundamental eigenfrequencies of the real molecule and its... see more


Abdulrada I.AI-kramee, Ammar L. AL-Yasari    

Permanent deformation (rutting) is considered one of the most important factors that reduces pavement life in roads network and highways in Iraq. In this paper, a laboratory investigation has been conducted to evaluate the effect of external factors on r... see more


Michael I. Kopp, Volodymyr V. Yanovsky    

The review highlights the main achievements in the theory of the vortex dynamo in rotating media. Various models of a vortex dynamo in rotating media are discussed: a homogeneous viscous fluid, a temperature-stratified fluid, a moist atmosphere, and a st... see more


Natalia Ohon, Tetiana Bulavinets, Iryna Yaremchuk, Rostyslav Lesyuk    

Surface plasmons and excitons have been widely studied experimentally and theoretically for various material systems. However, a number of aspects require further deeper study and understanding, among which the connection of these quasi-particles occupie... see more