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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 162, Number 2, Pages 275–284
DOI: https://doi.org/10.4213/tmf6470 (Mi tmf6470) 		 
The second law of thermodynamics for high-energy channeled particles

Yu. A. Kashlev

Baikov Institute for Metallurgy and Material Science, RAS, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf6470
Abstract: In microscopic theory, the number of kinetic equations underlying the proof of the second law of thermodynamics is quite restricted. We explicitly prove that the second law of thermodynamics is satisfied for high-energy particles moving in a crystal in the channeling regime. The proof involves a local Boltzmann equation for the distribution function of the particles written in the Bogoliubov form. In this, we take one statistical mechanism into account: the scattering of channeled particles on lattice atoms randomly displaced from the crystal sites.
Keywords: thermodynamics, second law, channeled particle, crystal, Boltzmann kinetic equation, thermal scattering, distribution function, entropy, entropy source, local entropy balance equation.
Received: 29.04.2008
Revised: 15.05.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 2, Pages 230–237
DOI: https://doi.org/10.1007/s11232-010-0018-2
Bibliographic databases:
Language: Russian
Citation: Yu. A. Kashlev, “The second law of thermodynamics for high-energy channeled particles”, TMF, 162:2 (2010), 275–284; Theoret. and Math. Phys., 162:2 (2010), 230–237
Citation in format AMSBIB
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