Kinetic equations for diffusion in the presence of entropic barriers -: art. no. 061106

被引：389

作者：

Reguera, D ^{[1
]}

Rubí, JM ^{[1
]}

机构：

[1] Univ Barcelona, Fac Fis, Dept Fis Fonamental, E-08028 Barcelona, Spain

来源：

PHYSICAL REVIEW E | 2001年 / 64卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.64.061106

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We use the mesoscopic nonequilibrium thermodynamics theory to derive the general kinetic equation of a system in the presence of potential barriers. The result is applied to a description of the evolution of systems whose dynamics is influenced by entropic barriers. We analyze in detail the case of diffusion in a domain of irregular geometry in which the presence of the boundaries induces an entropy barrier when approaching the exact dynamics by a coarsening of the description. The corresponding kinetic equation, named the Fick-Jacobs equation, is obtained, and its validity is generalized through the formulation of a scaling law for the diffusion coefficient which depends on the shape of the boundaries. The method we propose can be useful to analyze the dynamics of systems at the nanoscale where the presence of entropy barriers is a common feature.

引用

页数：8

共 50 条

[41] Causality and stability of the relativistic diffusion equation -: art. no. 023003
Kostädt, P
Liu, M
PHYSICAL REVIEW D, 2000, 62 (02) : 1 - 6
[42] Impact of inhibitor diffusion in holographic photopolymers - art. no. 665703
McLeod, Robert R.
Grabowski, Matthew W.
Cole, Michael C.
ORGANIC 3D PHOTONICS MATERIALS AND DEVICES, 2007, 6657 : 65703 - 65703
[43] Self-diffusion in liquid interfaces -: art. no. 095901
Herth, S
Ye, F
Eggersmann, M
Gutfleisch, O
Würschum, R
PHYSICAL REVIEW LETTERS, 2004, 92 (09) : 095901 - 1
[44] Monitoring of drug diffusion in ocular tissues - art. no. 616303
Ghosn, Mohamad G.
Cheng, Yezeng
Larin, Kirill V.
Saratov Fall Meeting 2005: Optical Technologies in Biophysics and Medicine VII, 2006, 6163 : 16303 - 16303
[45] Nuclear friction and quantum mechanical diffusion -: art. no. 064304
Radionov, S
Åberg, S
PHYSICAL REVIEW C, 2005, 71 (06):
[46] General theory of heat diffusion dynamics -: art. no. 184110
Tröster, A
Schranz, W
PHYSICAL REVIEW B, 2002, 66 (18): : 1 - 16
[47] Compartmentalized reaction-diffusion systems -: art. no. 016211
Chávez, F
Kapral, R
PHYSICAL REVIEW E, 2001, 63 (01): : 1 - 9
[48] Mechanical model of normal and anomalous diffusion -: art. no. 011102
Kunz, H
Livi, R
Süto, A
PHYSICAL REVIEW E, 2003, 67 (01):
[49] Tracer diffusion in granular shear flows -: art. no. 021308
Garzó, V
PHYSICAL REVIEW E, 2002, 66 (02): : 1 - 021308
[50] Cumulative effects of barriers on the movements of forest birds -: art. no. 9
Bélisle, M
Clair, CCS
CONSERVATION ECOLOGY, 2002, 5 (02):

← 1 2 3 4 5 →