Abstract:
The reduced description method is used to obtain general equations describing the
evolution of the nonequilibrium fluctuations of the hydrodynamic parameters at times t≫τr (τr is the relaxation time), when states with large nonequilibrium correlation range arise in the system. The part played in the kinetics of the fluctuations of the operation of averaging the hydrodynamic parameters over physically infinitesimally small volume elements is elucidated. Asymptotic representations are obtained for various “averages” of the physical quantities in this region of times and power relaxation laws are derived.
Citation:
S. V. Peletminskii, S. S. Plokhov, V. I. Prikhod'ko, “Statistical theory of nonequilibrium fluctuations with large correlation range”, TMF, 46:2 (1981), 263–278; Theoret. and Math. Phys., 46:2 (1981), 174–183
\Bibitem{PelPloPri81}
\by S.~V.~Peletminskii, S.~S.~Plokhov, V.~I.~Prikhod'ko
\paper Statistical theory of nonequilibrium fluctuations with large correlation range
\jour TMF
\yr 1981
\vol 46
\issue 2
\pages 263--278
\mathnet{http://mi.mathnet.ru/tmf2319}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=612957}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 46
\issue 2
\pages 174--183
\crossref{https://doi.org/10.1007/BF01030853}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981NE30200011}
Linking options:
https://www.mathnet.ru/eng/tmf2319
https://www.mathnet.ru/eng/tmf/v46/i2/p263
This publication is cited in the following 6 articles:
S. O. Nikolayenko, Yu. V. Slyusarenko, “Theory of macroscopic fluctuations in systems of particles, interacting with hydrodynamic and gaslike media”, Journal of Mathematical Physics, 51:11 (2010)
S.V. Peletminskii, Yu.V. Slyusarenko, A.I. Sokolovsky, “Kinetics and hydrodynamics of long-wave fluctuations under external random force”, Physica A: Statistical Mechanics and its Applications, 326:3-4 (2003), 412
Slyusarenko, YV, “Long-wave fluctuation kinetics and quasi-linear relaxation for zero-point sound in a normal Fermi liquid”, Low Temperature Physics, 24:6 (1998), 393
S. V. Peletminskii, Yu. V. Slusarenko, “Eigenfunction method of collision Boltzmann integral in kinetic theory of long wave fluctuations”, Theoret. and Math. Phys., 106:3 (1996), 385–400
A. A. Isaev, S. V. Peletminskii, V. I. Prikhod'ko, “Two-dimensional nonlocal hydrodynamics with allowance for fluctuations”, Theoret. and Math. Phys., 78:1 (1989), 67–77
V. V. Angeleiko, A. A. Isaev, V. I. Prikhod'ko, “Two-dimensional hydrodynamics and asymptotics of correlation functions with account of fluctuations”, Soviet Physics Journal, 31:10 (1988), 819