Chain of kinetic equations for the distribution functions of particles in simple liquid taking into account nonlinear hydrodynamic fluctuations

Keywords

Distribution function, Statistical physics, Distribution (mathematics), Nonlinear system, Fokker–Planck equation

References

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• Basic concepts, kinetic theoryD. N. Zubarev, Vladimir Alekseevich Morozov, G. Röpke — 1996
• Statistical Physics of Liquids at Freezing and BeyondShankar P. Das — 2011
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• Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processesHlushak, М. В. Токарчук — 2013
• Are power-law distributions an equilibrium distribution or a stationary nonequilibrium distribution?R. S. Guo, Jiulin Du — 2014
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• Kinetic theory of dusty plasmas. V. The hydrodynamic equationsВ. Н. Цытович, U. de Angelis — 2004
• Relaxation to the state of molecular hydrodynamics in the generalized hydrodynamics of liquids.B. Markiv, I. P. Omelyan, М. В. Токарчук — 2010
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Cited by

• Zubarev’s Nonequilibrium Statistical Operator Method in the Generalized Statistics of Multiparticle SystemsP.A. Glushak, P.A. Glushak, B. Markiv — 2018
• Generalized Fokker–Planck equation for the distribution function of liquidity accumulationB. Hnativ, Andriy Didyk, М. В. Токарчук — 2019
• Kinetic description of ion transport in the system "ionic solution – porous environment"М. В. Токарчук — 2022
• Метод колективних змінних в теорії нелінійних флуктуацій з урахуванням кінетичних процесівI. R. Yukhnovskii, М. В. Токарчук, P. A. Hlushak — 2022
• Unification of kinetic and hydrodynamic approaches in the theory of dense gases and liquids far from equilibriumМ. В. Токарчук — 2023
• To the kinetic theory of dense gases and liquids. Calculation of quasi-equilibrium particle distribution functions by the method of collective variablesМ. В. Токарчук — 2022
• To the kinetic theory of dense gases and liquids. Calculation of quasi-equilibrium particle distribution functions by the method of collective variablesTokarchuk, M. — 2022

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