Geodesic
Balance equation and the quasitemperature of channeled particles in equilibrium
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 2, pp. 256-266 Cet article a éte moissonné depuis la source Math-Net.Ru

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Using the methods of nonequilibrium statistical thermodynamics, we obtain the equation for the transverse energy and momentum balance for fast atomic particles moving in the planar channeling regime. Based on the solution of this equation, we obtain an expression for the transverse quasitemperature in the quasiequilibrium in terms of the basic parameters of the theory. We show that the equilibrium quasitemperature of channeled particles is established because of particle diffusion in the space of transverse energies (subsystem "heating"), the dissipative process ("cooling"), and the anharmonic effects of particle oscillations between the channel walls (the redistribution of energies over the oscillatory degrees of freedom is the internal thermalization of the subsystem). According to the estimates for particles with an energy of the order of $1$ MeV, the quasitemperature values are in the characteristic temperature range for a low-temperature plasma.
Keywords: nonequilibrium statistical thermodynamics, channeled particle, electron, nuclear spin, quasitemperature, energy dissipation
Mots-clés : balance equation, diffusion, anharmonism. 
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Yu. A. Kashlev. Balance equation and the quasitemperature of channeled particles in equilibrium. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 2, pp. 256-266. http://geodesic.mathdoc.fr/item/TMF_2009_161_2_a9/

[1] M. Goldman, Spinovaya temperatura i YaMR v tverdykh telakh, Mir, M., 1972

[2] I. P. Shkarofski, T. W. Johnston, M. P. Bachynski, The Particle Kinetics of Plasmas, Addison–Wesley, Reading, MA, 1966

[3] L. S. Polak (red.), Ocherki fiziki i khimii nizkotemperaturnoi plazmy, Nauka, M., 1971

[4] Ya. A. Kashlev, Phys. Stat. Sol.(b), 190:2 (1995), 379–391 | DOI

[5] Yu. A. Kashlev, TMF, 126:2 (2001), 311–324 | DOI | Zbl

[6] J. Lindhard, Mat.-Fys. Medd. Danske Vid. Selsk., 34:14 (1965), 1

[7] D. N. Zubarev, “Sovremennye metody statisticheskoi teorii neravnovesnykh protsessov”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat., 15, VINITI, M., 1980, 131–226 | DOI | MR | Zbl

[8] K. Yamada, Prog. Theoret. Phys., 28:2 (1962), 299–314 | DOI | MR | Zbl

[9] Y. Nagaoka, Prog. Theoret. Phys., 26:5 (1961), 590–610 | DOI | MR | Zbl

[10] Yu. Kagan, Yu. V. Kononets, ZhETF, 64:3 (1973), 1042

[11] J. A. Ellison, S. T. Picraux, Phys. Rev. B, 18:3 (1978), 1028–1038 | DOI

[12] M. Rahman, Phys. Rev. B, 52:5 (1995), 3383–3399 | DOI

[13] S. P. Ali, D. F. Gallaher, J. Phys. C, 7:14 (1974), 2434–2446 | DOI

[14] F. Abel, G. Amsel, M. Braneaux, C. Cohen, A. L'Hoir, Phys. Rev. B, 12:11 (1975), 4617–4627 | DOI

[15] N. Ashkroft, N. Mermin, Fizika tverdogo tela, T. 2, Mir, M., 1979

[16] Yu. A. Kashlev, TMF, 19:3 (1974), 400–413 | DOI

[17] Yu. A. Kashlev, Neravnovesnaya statisticheskaya teoriya skorostei diffuzionnykh protsessov v tverdykh telakh (diffuzionnogo dekanalirovaniya i diffuzionnoi migratsii), Avtoref. dis. $\dots$ dokt. fiz.-mat. nauk, Matem. in-t im. V. A. Steklova, M., 1982

[18] E. M. Lifshits, L. P. Pitaevskii, Teoreticheskaya fizika T. 10. Fizicheskaya kinetika, Nauka, M., 1979 | MR | MR | Zbl

[19] Ch. Kittel, Elementarnaya statisticheskaya fizika, IL, M., 1960

[20] Yu. A. Kashlev, N. M. Sadykov, TMF, 116:3 (1998), 442–455 | DOI | Zbl