STRAIGHTFORWARD DERIVATION OF THE LONG-TIME LIMIT OF THE MEAN-SQUARE DISPLACEMENT IN ONE-DIMENSIONAL DIFFUSION

被引：93

作者：

KARGER, J

机构：

[1] Fachbereich Physik, Universität Leipzig, 0-7010 Leipzig

来源：

PHYSICAL REVIEW A | 1992年 / 45卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.45.4173

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Considering one-dimensional diffusion as a sequence of exchange processes between occupied and vacant sites, the long-time limit of the mean-square displacement of the diffusants is shown to be easily calculable as the net effect of the random walk of the vacancies.

引用

收藏

页码：4173 / 4174

页数：2

相关论文

共 7 条

[1] DIFFUSION OF LABELED PARTICLES ON ONE-DIMENSIONAL CHAINS [J].

ALEXANDER, S ;

PINCUS, P .

PHYSICAL REVIEW B, 1978, 18 (04) :2011-2012

[2] REPTATION OF A POLYMER CHAIN IN PRESENCE OF FIXED OBSTACLES [J].

DEGENNES, PG .

JOURNAL OF CHEMICAL PHYSICS, 1971, 55 (02) :572-+

[3] 2-POINT CORRELATION-FUNCTIONS FOR A DISTINGUISHABLE PARTICLE HOPPING ON A UNIFORM ONE-DIMENSIONAL CHAIN [J].

FEDDERS, PA .

PHYSICAL REVIEW B, 1978, 17 (01) :40-46

[4] DIFFUSION IN DISORDERED MEDIA [J].

HAVLIN, S ;

BENAVRAHAM, D .

ADVANCES IN PHYSICS, 1987, 36 (06) :695-798

[5] TIME CORRELATION DURING ANOMALOUS DIFFUSION IN FRACTAL SYSTEMS AND SIGNAL ATTENUATION IN NMR FIELD-GRADIENT SPECTROSCOPY [J].

KARGER, J ;

PFEIFER, H ;

VOJTA, G .

PHYSICAL REVIEW A, 1988, 37 (11) :4514-4517

[6]

MEIER WM, 1988, ATLAS ZEOLITE STRUCT

[7] DIFFUSION IN CONCENTRATED LATTICE GASES .3. TRACER DIFFUSION ON A ONE-DIMENSIONAL LATTICE [J].

VANBEIJEREN, H ;

KEHR, KW ;

KUTNER, R .

PHYSICAL REVIEW B, 1983, 28 (10) :5711-5723