J 2013

Statistical treatment of the electromagnetic radiation-reaction problem: Evaluation of the relativistic Boltzmann-Shannon entropy

CREMASCHINI, Claudio a Massimo TESSAROTTO

Základní údaje

Originální název

Statistical treatment of the electromagnetic radiation-reaction problem: Evaluation of the relativistic Boltzmann-Shannon entropy

Název anglicky

Statistical treatment of the electromagnetic radiation-reaction problem: Evaluation of the relativistic Boltzmann-Shannon entropy

Autoři

CREMASCHINI, Claudio a Massimo TESSAROTTO

Vydání

PHYSICAL REVIEW E, US - Spojené státy americké, 2013, 1539-3755

Další údaje

Typ výsledku

Článek v odborném periodiku

Obor

10305 Fluids and plasma physics

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Organizační jednotka

Fyzikální ústav v Opavě

UT WoS

000315741200001

Klíčová slova anglicky

Information theory; Mechanics

Štítky

Příznaky

Mezinárodní význam, Recenzováno
Změněno: 29. 3. 2021 09:55, Mgr. Pavlína Jalůvková

Anotace

V originále

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