BROWNIAN-MOTION IN PERIODIC POTENTIALS IN THE LOW-FRICTION-LIMIT - NON-LINEAR RESPONSE TO AN EXTERNAL FORCE

被引：34

作者：

RISKEN, H

VOLLMER, HD

机构：

[1] Abteilung für Theoretische Physik I, Universität Ulm, Ulm, D-7900, Oberer Eselsberg

来源：

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1979年 / 35卷 / 02期

关键词：

D O I：

10.1007/BF01321244

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

The Brownian motion of particles in a periodic potential in response to a constant external force is investigated in the low-friction-limit. By introducing an energy and a space variable and by making a proper self consistent ansatz, the Fokker-Planck equation is solved in the stationary state for small friction constants. We found out that, for fixed force to friction ratios, the mobility times the friction constant is a linear function of the square root of the friction constant if the damping is small enough. Explicit results for this linear function are presented for a cosine potential and compared to previous results. © 1979 Springer-Verlag.

引用

页码：177 / 184

页数：8

共 11 条

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