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