SELF-DIFFUSION BEYOND FICKS LAW

被引：55

作者：

DESCHEPPER, IM

ERNST, MH

机构：

[1] Institute for Theoretical Physics, University of Utrecht

来源：

PHYSICA A | 1979年 / 98卷 / 1-2期

关键词：

D O I：

10.1016/0378-4371(79)90173-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Van Hove self-correlation function, the intermediate incoherent scattering function and its Laplace transform are determined asymptotically for a one component fluid in equilibrium, using the mode coupling theory. The results reproduce in the hydrodynamic limit the predictions from Fick's law. The corrections to Fick's law are consistent with a long time tail in the velocity correlation function and with a diverging super Burnett coefficient in the linear diffusion equation. © 1979.

引用

页码：189 / 214

页数：26

共 15 条

[1] Abramowitz M., 1970, HDB MATH FNCTIONS
[2] RENORMALIZATION OF DIFFUSION-COEFFICIENT IN A FLUCTUATING FLUID .1.
BEDEAUX, D
MAZUR, P
[J]. PHYSICA, 1974, 73 (03): : 431 - 458
[3] PERSISTENT CORRELATIONS IN DIFFUSION
DUFTY, JW
MCLENNAN, JA
[J]. PHYSICAL REVIEW A, 1974, 9 (03): : 1266 - 1272
[4] Erdelyi A., 1953, HIGHER TRANSCENDENTA, VI
[5] Erdelyi A., 1954, TABLES INTEGRAL TRAN
[6] NONANALYTIC DISPERSION-RELATIONS FOR CLASSICAL FLUIDS .2. GENERAL FLUID
ERNST, MH
DORFMAN, JR
[J]. JOURNAL OF STATISTICAL PHYSICS, 1975, 12 (04) : 311 - 359
[7] ASYMPTOTIC TIME BEHAVIOR OF CORRELATION-FUNCTIONS .2. KINETIC AND POTENTIAL TERMS
ERNST, MH
HAUGE, EH
VANLEEUWEN, JMJ
[J]. JOURNAL OF STATISTICAL PHYSICS, 1976, 15 (01) : 7 - 22
[8] MOMENTS OF DISPLACEMENT OF A TAGGED PARTICLE
KEYES, T
OPPENHEIM, I
[J]. PHYSICA, 1973, 70 (01): : 100 - 104
[9] Luke Y.L., 1969, SPECIAL FUNCTIONS TH, V1
[10] Pomeau Y., 1975, Physics Reports. Physics Letters Section C, V19c, P63, DOI 10.1016/0370-1573(75)90019-8

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