| CREMASCHINI, Claudio and Massimo TESSAROTTO. Statistical treatment of the electromagnetic radiation-reaction problem: Evaluation of the relativistic Boltzmann-Shannon entropy. PHYSICAL REVIEW E. US - Spojené státy americké, 2013, vol. 87, No 3, 10 pp. ISSN 1539-3755. Available from: https://dx.doi.org/10.1103/PhysRevE.87.032107. |
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@article{50305,
author = {Cremaschini, Claudio and Tessarotto, Massimo},
article_location = {US - Spojené státy americké},
article_number = {3},
doi = {http://dx.doi.org/10.1103/PhysRevE.87.032107},
keywords = {Information theory; Mechanics},
issn = {1539-3755},
journal = {PHYSICAL REVIEW E},
title = {Statistical treatment of the electromagnetic radiation-reaction problem: Evaluation of the relativistic Boltzmann-Shannon entropy},
url = {https://journals.aps.org/pre/abstract/10.1103/PhysRevE.87.032107},
volume = {87},
year = {2013}
}
TY - JOUR
ID - 50305
AU - Cremaschini, Claudio - Tessarotto, Massimo
PY - 2013
TI - Statistical treatment of the electromagnetic radiation-reaction problem: Evaluation of the relativistic Boltzmann-Shannon entropy
JF - PHYSICAL REVIEW E
VL - 87
IS - 3
SN - 15393755
KW - Information theory
KW - Mechanics
UR - https://journals.aps.org/pre/abstract/10.1103/PhysRevE.87.032107
N2 - The Vlasov-Maxwell statistical treatment of relativistic charged particles subject to electromagnetic (EM) radiation reaction (RR) represents an unsolved conceptual challenge. In fact, as shown here, the customary point-particle treatment based on the Landau-Lifschitz (LL) equation leads to a generally nonconstant Boltzmann-Shannon (BS) entropy even in the absence of binary collisions. This conclusion appears to be in contradiction with the intrinsic microscopic reversibility of the underlying physicalsystem. In this paper the issue is addressed in the framework of a Hamiltonian treatment for extended charged particles in the presence of EM RR. It is shown that such a behavior actually has no physical ground, being a consequence of the asymptotic approximations involved in the construction of the LL equation. In particular, it is proved that the Hamiltonian structure of the underlying particle dynamics actually restores the conservation of the BS entropy. The connection between the tw
ER -
CREMASCHINI, Claudio and Massimo TESSAROTTO. Statistical treatment of the electromagnetic radiation-reaction problem: Evaluation of the relativistic Boltzmann-Shannon entropy. \textit{PHYSICAL REVIEW E}. US - Spojené státy americké, 2013, vol.~87, No~3, 10 pp. ISSN~1539-3755. Available from: https://dx.doi.org/10.1103/PhysRevE.87.032107.
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