Abstract:
Linearized model collision operators that correctly describe the relaxation of the
first 13 hydrodynamic moments in single-component systems are derived. For
particles with Coulomb interaction potential, the calculations are made in the
second Chapman–Enskog approximation. An expression for the intensity of the
Langevin source in the kinetic equation is obtained in the same approximation.
The Landau–Lifshitz formula is generalized to non-Markov processes. A new
form of model collision operator for the particles of a Boltzmann gas of hard
spheres is proposed.
Citation:
V. V. Belyi, I. V. Paiva-Veretennikova, “Model description of particle collisions in one-component systems”, TMF, 62:2 (1985), 291–303; Theoret. and Math. Phys., 62:2 (1985), 196–204
\Bibitem{BelPai85}
\by V.~V.~Belyi, I.~V.~Paiva-Veretennikova
\paper Model description of particle collisions in one-component systems
\jour TMF
\yr 1985
\vol 62
\issue 2
\pages 291--303
\mathnet{http://mi.mathnet.ru/tmf4574}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 62
\issue 2
\pages 196--204
\crossref{https://doi.org/10.1007/BF01033530}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985ARH5400011}
Linking options:
https://www.mathnet.ru/eng/tmf4574
https://www.mathnet.ru/eng/tmf/v62/i2/p291
This publication is cited in the following 9 articles:
A. G. Zagorodny, A. I. Momot, Fundamental Theories of Physics, 208, Nonequilibrium Thermodynamics and Fluctuation Kinetics, 2022, 217
V. V. Belyi, “Derivation of model kinetic equation”, EPL, 111:4 (2015), 40011
E. L. Korotyaev, “Asymptotics of the S-matrix for perturbed Hill operators”, Russ. J. Math. Phys., 21:1 (2014), 46
V V Belyi, “Model Kinetic Description For Many-Component Plasma”, J. Phys.: Conf. Ser., 510 (2014), 012043
Evgeny L. Korotyaev, Karl Michael Schmidt, “On the resonances and eigenvalues for a 1D half-crystal with localised impurity”, Journal für die reine und angewandte Mathematik (Crelles Journal), 2012:670 (2012)
V V Belyi, “On the model kinetic description of plasma and a Boltzmann gas of hard spheres”, J. Stat. Mech., 2009:06 (2009), P06001
Thomas M. Roberts, “Scattering for step-periodic potentials in one dimension”, Journal of Mathematical Physics, 31:9 (1990), 2181
A. G. Zagorodnii, Yu. L. Klimontovich, I. P. Yakimenko, “Large-scale fluctuations in bounded plasma-molecular systems”, Theoret. and Math. Phys., 75:1 (1988), 377–388
V. N. Komarov, S. A. Smolyanskii, “Solutions of the kinetic equation for a collisionless plasma in an external electromagnetic field”, Theoret. and Math. Phys., 72:2 (1987), 892–899
Citation in format AMSBIB
Contact us: