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On the long wave fluctuations in systems of particles interacting with hydrodynamic media

Our work offers a stochastic approach for description of long wave fluctuations in systems of particles interacting with hydrodynamic media. The presence of long-wave fluctuations in the system is caused by the random character of external force. The description of fluctuations evolution is based on...

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Bibliographic Details
Main Authors: Nikolayenko, S.O., Slyusarenko, Yu.V.
Format: Article
Language:English
Published: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2012
Series:Вопросы атомной науки и техники
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/107095
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Summary:Our work offers a stochastic approach for description of long wave fluctuations in systems of particles interacting with hydrodynamic media. The presence of long-wave fluctuations in the system is caused by the random character of external force. The description of fluctuations evolution is based on the averaging of nonlinear dynamic equations over random external force acting on the system. The evolution equations for large scale fluctuations have been derived. The considered system can be a model of neutron transport in hydrodynamic media. We obtain the dynamic equations of long wave fluctuations generated by external random force in hydrodynamic media with multiplication and capture of neutrons and consider the influence of fluctuations over the stability of steady states of such systems.