NON-LINEAR DIFFUSION OF VACANCIES IN A CRYSTAL

被引:3
作者
HARA, H [1 ]
FUJITA, S [1 ]
WATANABE, R [1 ]
机构
[1] TOHOKU UNIV,FAC ENGN,DEPT MET PROC,SENDAI,MIYAGI 980,JAPAN
关键词
D O I
10.1007/BF00671763
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The correlated motion of vacancies breaks the translational symmetry of the jump probability if the concentraton of the vacancies varies from place to place. This leads to a significant deviation from the result of linear diffusion theory. The problem is treated by using the model of a generalized random walk in which the probabilities of a jump by the walker depend on the position. © 1979 Plenum Publishing Corporation.
引用
收藏
页码:271 / 277
页数:7
相关论文
共 9 条
[1]   THEORY OF TRANSPORT IN MEMBRANES .1. STEADY-STATE [J].
ASH, R ;
BARRER, RM .
JOURNAL OF PHYSICS D-APPLIED PHYSICS, 1971, 4 (07) :888-&
[2]   MEASUREMENT OF DIFFUSION AND THERMAL CONDUCTIVITY CONSTANTS IN NONHOMOGENEOUS MEDIA, AND IN MEDIA WHERE THESE CONSTANTS DEPEND RESPECTIVELY ON CONCENTRATION OR TEMPERATURE [J].
BARRER, RM .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1946, 58 (327) :321-331
[3]   Stochastic problems in physics and astronomy [J].
Chandrasekhar, S .
REVIEWS OF MODERN PHYSICS, 1943, 15 (01) :0001-0089
[4]  
CRANK J, 1975, MATH DIFFUSION, pCH9
[5]   RANDOM WALKS AND DRIFT IN CHEMICAL DIFFUSION [J].
LECLAIRE, AD .
PHILOSOPHICAL MAGAZINE, 1958, 3 (33) :921-939
[6]  
MANNING JR, 1973, DIFFUSION, pCH1
[7]  
MANNING JR, 1968, DIFFUSION KINETICS A, pCH5
[8]  
Peterson N., 1969, SOLID STATE PHYS, V22, P409, DOI [10.1016/S0081-1947(08)60034-X, DOI 10.1016/S0081-1947(08)60034-X]
[9]   On the theory of the Brownian motion [J].
Uhlenbeck, GE ;
Ornstein, LS .
PHYSICAL REVIEW, 1930, 36 (05) :0823-0841