Isaac Scientific Publishing

Theoretical Physics

Application of Boltzmann’s Kinetic Equation to Research of Approach to Equilibrium Thermal Radiation of Rarefied Gas

Download PDF (272.4 KB) PP. 10 - 17 Pub. Date: March 8, 2020

DOI: 10.22606/tp.2020.51002

Author(s)

  • A. N. Volobuev
    Samara State Medical University, Department of Physics, Samara, 443086, Russia

Abstract

On the basis of the kinetic equation for interaction of the electromagnetic radiation quantums with rarefied gas the time dynamics of approach to equilibrium thermal radiation of quantum distribution function and density of radiation energy is investigated. It is shown, that in a seen interval of electromagnetic waves this process lasts some micro seconds. The deduction of the kinetic equation of interaction of quantums with atoms of rarefied gas is submitted. Some consequences from this equation are investigated.

Keywords

Boltzmann’s kinetic equation, thermal radiation, function of distribution.

References

[1] E.M. Lifshits, L.P. Pitaevskij. “Physical kinetics.” Moscow.Fizmatlit, 2002. 536 p.

[2] V.G. Levich. “Course of Theoretical Physics.” V. 1. Moscow. Fizmatgiz, 1962, 696 p.

[3] V.S. Vladimirov. “Mathematical Problems of the One-velocity Theory of Particle Carry.” Transactions of mathematical institute AN SSSR, 1961, V. 61. Pp. 3–11.

[4] A.E. Bulishev, N.G. Preobrazhenskii, A.E. Suvorov. ”Radiation transport in spectral lines.” Sov. Phys. Usp., 1988, V. 31. P. 865-878.

[5] V.E. Troshchiev, A.V. Nifanova, Iu.V. Troshchiev. “Characteristic Approach to Approximation of Conservation Law in the Kinetic Equations of Radiation Translation.” DAN RF, 2004, V. 394, No 4. Pp. 454 – 458.

[6] A.S. Kompaneets. “Physico-Chemical and Relativistic Gaso-Dynamics.” Moscow. Science, 1977, 287 p.

[7] Ia.B. Zeldovich, E.V. Levich. “Bose condensation and shock waves in photon spectra.” JETP, 1969, V. 28, No. 6. P. 1287 – 1290.

[8] A.E. Dubinov. “Exact stationary solution of the Kompaneets kinetic equation.” Tech. Phys. Lett., 2009, V. 35. P. 260 – 262.

[9] D.I. Nagirner, V.M. Loskutov, S.I. Grachev. “Exact and Numerical Solutions of the Kompaneets’ Equation: Evolution of a Spectrum and Average Frequencies.” Astrophysics, 1997, V. 40, No 3. Pp. 349 – 364.

[10] O. Madelung. “Theory of Solid Body.” Moscow. Science, 1980. 418 p.

[11] R.Kh. Amirov, V.N. Gusyatnikov. “A dynamical influence of the constant electric field on the kinetics of photons interacting with semiconductor electrons.” Semiconductors/Physics of the Solid State, 2001, V. 35, № 5. P. 528 – 533.

[12] A.I. Akhiezer, S.V. Peletmiski. “Methods of Statistical Physics.” Moscow. Science, 1977. 368 p.

[13] A.N. Matveev. “Molecular Physics.” Moscow. Higher School, 1981. 400 p.

[14] Ia.B. Zeldovich, I.D. Novikov. “Theory of Gravitation and Evolution of Stars.” Moscow. Science, 1971. 484 p.