Fractional Kramers equation

被引：169

作者：

Barkai, E ^{[1
]}

Silbey, RJ

机构：

[1] MIT, Dept Chem, Cambridge, MA 02139 USA

[2] MIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA

来源：

JOURNAL OF PHYSICAL CHEMISTRY B | 2000年 / 104卷 / 16期

关键词：

D O I：

10.1021/jp993491m

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We introduce a fractional Kramers equation for a particle interacting with a thermal heat bath and external nonlinear force field. For the force-free case, the velocity damping follows the Mittag-Leffler relaxation and the diffusion is enhanced. The equation obeys the generalized Einstein relation, and its stationary solution is the Boltzmann distribution. Our results are compared to previous results on enhanced Levy type of diffusion derived from stochastic collision models.

引用

页码：3866 / 3874

页数：9

共 46 条

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