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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Fiber averaged dynamics associated with the Lorentz force equation

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Autor(es):
Torrome, Ricardo Gallego [1, 2]
Número total de Autores: 1
Afiliação do(s) autor(es):
[1] Univ Lancaster, Dept Phys, Lancaster LA1 4YB - England
[2] Cockcroft Inst, Warrington, Cheshire - England
Número total de Afiliações: 2
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF GEOMETRY AND PHYSICS; v. 86, p. 43-65, DEC 2014.
Citações Web of Science: 0
Resumo

It is shown that the Lorentz force equation is equivalent to the auto-parallel condition (L)del((x)over dot)(x)over dot = 0 of a linear connection (L)del defined on a convenient pull-back vector bundle. By using a geometric averaging method, an associated averaged Lorentz connection <(L)del > and the corresponding auto-parallel equation are obtained. After this, it is shown that in the ultra-relativistic limit and for narrow one-particle probability distribution functions, the auto-parallel curves of <(L)del > remain nearby close to the auto-parallel curves of (L)del. Applications of this result in beam dynamics and plasma physics are briefly described. (C) 2014 Elsevier B.V. All rights reserved. (AU)

Processo FAPESP: 10/11934-6 - Aspetos globais in geometria Finsler e Lorentziana
Beneficiário:Ricardo Gallego Torrome
Linha de fomento: Bolsas no Brasil - Pós-Doutorado