KUBO-EINSTEIN RELATION FOR QUANTUM BROWNIAN-MOTION IN A PERIODIC POTENTIAL

被引:6
作者
CHEN, YC
机构
[1] Department of Physics, University of Science and Technology of China, Anhui, 230026, Hefei
关键词
QUANTUM BROWNIAN MOTION; WIGNER DISTRIBUTION; KUBO-EINSTEIN RELATION;
D O I
10.1007/BF01053753
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using a previously derived general formalism for a dissipative quantum particle in a boson bath, we prove that when the damping is Ohmic, the Kubo-Einstein relation between the diffusion constant and the linear mobility D = kTM holds to all orders in V0 for a periodic potential V(x) = V0 cos(k0x).
引用
收藏
页码:761 / 771
页数:11
相关论文
共 11 条
[1]   QUANTUM BROWNIAN-MOTION IN A PERIODIC POTENTIAL - A PEDESTRIAN APPROACH [J].
ASLANGUL, C ;
POTTIER, N ;
SAINTJAMES, D .
JOURNAL DE PHYSIQUE, 1987, 48 (07) :1093-1110
[2]   DISSIPATIVE QUANTUM DYNAMICS IN A BOSON BATH [J].
CHEN, YC ;
LEBOWITZ, JL ;
LIVERANI, C .
PHYSICAL REVIEW B, 1989, 40 (07) :4664-4682
[3]   THE RETURN OF A HYSTERETIC JOSEPHSON JUNCTION TO THE ZERO-VOLTAGE STATE - IV CHARACTERISTIC AND QUANTUM RETRAPPING [J].
CHEN, YC ;
FISHER, MPA ;
LEGGETT, AJ .
JOURNAL OF APPLIED PHYSICS, 1988, 64 (06) :3119-3142
[4]   QUANTUM DYNAMICS OF A DISSIPATIVE OBJECT IN A PERIODIC POTENTIAL [J].
ECKERN, U ;
PELZER, F .
EUROPHYSICS LETTERS, 1987, 3 (02) :131-138
[5]   QUANTUM BROWNIAN-MOTION IN A PERIODIC POTENTIAL [J].
FISHER, MPA ;
ZWERGER, W .
PHYSICAL REVIEW B, 1985, 32 (10) :6190-6206
[6]  
KORSHUNOV SE, 1987, ZH EKSP TEOR FIZ, V66, P872
[9]   EINSTEIN RELATION BETWEEN DIFFUSION CONSTANT AND MOBILITY FOR A DIFFUSION-MODEL [J].
RODENHAUSEN, H .
JOURNAL OF STATISTICAL PHYSICS, 1989, 55 (5-6) :1065-1088
[10]   DYNAMICS OF THE DISSIPATIVE MULTIWELL SYSTEM [J].
WEISS, U ;
WOLLENSAK, M .
PHYSICAL REVIEW B, 1988, 37 (05) :2729-2732