Exact expression for the diffusion propagator in a family of time-dependent anharmonic potentials.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
; 60(3): 2540-6, 1999 Sep.
Article
em En
| MEDLINE
| ID: mdl-11970052
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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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