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Current issue   Ukr. J. Phys. 2015, Vol. 60, N 7, p.614-619
https://doi.org/10.15407/ujpe60.07.0614   Paper

Vlasenko T.S.1, Sysoev V.M.2

1 Institute for Safety Problems of Nuclear Power Plants, Nat. Acad. of Sci. of Ukraine
(12, Lysogirs’ka Str., Kyiv 03028, Ukraine; e-mail: sonychko@bigmir.net)
2 Taras Shevchenko National University of Kyiv
(4, Academician Glushkov Prosp., Kyiv 03187, Ukraine)

IInfluence of External Factors on the Structure of a Two-Component Fluid in a Stationary State

Section: Soft Matter
Language: English

Abstract: A method has been proposed to calculate the influence of radiation on the structure of a two component fluid. A corresponding system of integro-differential equations for the pair correlation function, which are similar to the second equations in the BBGKY chain but with a different effective temperature, is obtained. The usual integro-differential equations for the pair correlation functions with effective temperatures that are determined with the use of the nonequilibrium distribution function for particle momenta are shown to be applicable to the calculation of changes in the structural and thermodynamic properties of irradiated fluids.

Key words: BBGKY chain, integro-differential equations, nonequilibrium steady state, pair correlation function, effective temperature.

References:

  1. Ya.I. Kolesnichenko, Nucl. Fusion 15, 35 (1975). CrossRef
  2. A. Perez-Madrid, Energy 32, 301 (2007). CrossRef
  3. D. Ruelle, Proc. Natl. Acad. Sci. USA 100, 3054 (2003). CrossRef
  4. G. Gallavotti, Chaos 14, 680 (2004). CrossRef
  5. K.P. Gurov, Fundamentals of Kinetic Theory (Bogolyubov's Method) (Nauka, Moscow, 1966) (in Russian).
  6. D.N. Zubarev, V.G. Morozov, and G. R¨opke, Statistical Mechanics of Nonequilibrium Processes: Basic Concepts. Kinetic Theory (Akademie Verlag, Berlin, 1996).
  7. T.S. Vlasenko, Pis'ma Zh. Eksp. Teor. Fiz. 99, 5 (2014).
  8. T.S. Vlasenko, D.A. Gavryushenko, and V.M. Sysoev, Visn. Kyiv. Univ. Ser. Fiz.-Mat. Nauki 2, 287 (2009).
  9. C. Sozzi, AIP Conf. Proc. 988, 73 (2008). CrossRef
  10. V.M. Zhuravlev, A.V. Orishchenko et al., Izv. Vyssh. Ucheb. Zaved. Povolzh. Reg. Fiz.-Mat. Nauki 1, 121 (2009).
  11. I.Z. Fisher, Statistical Theory of Liquids (Chicago University Press, Chicago, 1964).
  12. D.A. Tanasyuk, E.P. Magomedbekov, V.M. Byakov, and V.I. Ermakov, Elektr. Zh. Issled. Ross. 61, 798 (2010) [http://zhurnal.ape.relarn.ru/articles/2010/061.pdf].
  13. N.A. Izmailov, Electrochemistry of Solutions (Khimiya, Moscow, 1976) (in Russian).
  14. D.N. Zubarev, Nonequilibrium Statistical Thermodynamics (Consultants Bureau, New York, 1974).