Abstract
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.
Similar content being viewed by others
References
M. Goldman, Spin Temperature and Nuclear Magnetic Resonance in Solids, Clarendon, Oxford (1970).
I. P. Shkarofski, T. W. Johnston, and M. P. Bachynski, The Particle Kinetics of Plasmas, Addison-Wesley, Reading, Mass. (1966).
L. S. Polak, ed., Features of the Physics and Chemistry of a Low-Temperature Plasma [in Russian], Nauka, Moscow (1971).
Ya. A. Kashlev, Phys. Stat. Sol. (b), 190, 379–391 (1995).
Yu. A. Kashlev, Theor. Math. Phys., 126, 258–269 (2001).
J. Lindhard, Mat.-Fys. Medd. Danske Vid. Selsk., 34, No. 14, 1 (1965).
D. N. Zubarev, J. Sov. Math., 16, 1509–1571 (1981).
K. Yamada, Prog. Theoret. Phys., 28, 299–314 (1962).
Y. Nagaoka, Prog. Theoret. Phys., 26, 590–610 (1961).
Yu. Kagan and Yu. V. Kononets, Sov. Phys. JETP, 37, 530 (1973).
J. A. Ellison and S. T. Picraux, Phys. Rev. B, 18, 1028–1038 (1978).
M. Rahman, Phys. Rev. B, 52, 3383–3399 (1995).
S. P. Ali and D. F. Gallaher, J. Phys. C, 7, 2434–2446 (1974).
F. Abel, G. Amsel, M. Braneaux, C. Cohen, and A. L’Hoir, Phys. Rev. B, 12, 4617–4627 (1975).
N. W. Ashcroft and N. D. Mermin, Solid State Physics, Holt, Rinehart and Winston, New York (1976).
Yu. A. Kashlev, Theor. Math. Phys., 19, 600–609 (1974).
Yu. A. Kashlev, “Nonequilibrium statistical theory of the rate of diffusion processes in solids (diffusive dechannelization and diffusive migration) [in Russian],” Doctoral dissertation, Steklov Math. Inst., Moscow (1982).
E. M. Lifschitz and L. P. Pitaevskii, Physical Kinetics [in Russian] (Vol. 10 of Course of Theoretical Physics by L. D. Landau and E. M. Lifshitz), Nauka, Moscow (1979); English transl., Pergamon, Oxford (1981).
C. Kittel, Elementary Statistical Physics, Wiley, New York (1958).
Yu. A. Kashlev and N. M. Sadykov, Theor. Math. Phys., 116, 1083–1093 (1998).
Author information
Authors and Affiliations
Additional information
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 161, No. 2, pp. 256–266, November, 2009.
Rights and permissions
About this article
Cite this article
Kashlev, Y.A. Balance equation and the quasitemperature of channeled particles in equilibrium. Theor Math Phys 161, 1540–1548 (2009). https://doi.org/10.1007/s11232-009-0140-1
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11232-009-0140-1