Exact expression for the diffusion propagator in a family of time-dependent anharmonic potentials.

Giampaoli, J A; Strier, D E; Batista, C; Drazer, G; Wio, H S

Giampaoli, J A; Strier, D E; Batista, C; Drazer, G; Wio, H S.

Afiliação

Giampaoli JA; Comisión Nacional de Energía Atómica, Centro Atómico Bariloche and Instituto Balseiro (CNEA and UNC), 8400-San Carlos de Bariloche, Argentina.

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics ; 60(3): 2540-6, 1999 Sep.

Article em En | MEDLINE | ID: mdl-11970052

RESUMO

We have obtained the exact expression of the diffusion propagator in the time-dependent anharmonic potential V(x,t)=1 / 2a(t)x(2)+b ln x. The underlying Euclidean metric of the problem allows us to obtain analytical solutions for a whole family of the elastic parameter a(t), exploiting the relation between the path integral representation of the short time propagator and the modified Bessel functions. We have also analyzed the conditions for the appearance of a nonzero flow of particles through the infinite barrier located at the origin (b<0).

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Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics Assunto da revista: MEDICINA Ano de publicação: 1999 Tipo de documento: Article País de afiliação: Argentina País de publicação: Estados Unidos

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