Strong-coupling theory for counter-ion distributions

被引:172
作者
Moreira, AG [1 ]
Netz, RR [1 ]
机构
[1] Max Planck Inst Kolloid & Grenzflachenforsch, D-14424 Potsdam, Germany
来源
EUROPHYSICS LETTERS | 2000年 / 52卷 / 06期
关键词
D O I
10.1209/epl/i2000-00495-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Poisson-Boltzmann approach gives asymptotically exact counter-ion density profiles around charged objects in the weak-coupling limit of low valency and high temperature. In this paper we derive, using field-theoretic methods, a theory which becomes exact in the opposite limit of strong coupling. Formally, it corresponds to a standard virial expansion. Long-range divergences, which render the virial expansion intractable for homogeneous bulk systems, are shown to be renormalizable for the case of inhomogeneous distribution functions by a systematic expansion in powers of the fugacity. For a planar charged wall, our analytical results compare quantitatively with extensive Monte Carlo simulations.
引用
收藏
页码:705 / 711
页数:7
相关论文
共 18 条
[1]   BEYOND POISSON-BOLTZMANN - IMAGES AND CORRELATIONS IN THE ELECTRIC DOUBLE-LAYER .1. COUNTERIONS ONLY [J].
ATTARD, P ;
MITCHELL, DJ ;
NINHAM, BW .
JOURNAL OF CHEMICAL PHYSICS, 1988, 88 (08) :4987-4996
[2]   BEYOND POISSON-BOLTZMANN - IMAGES AND CORRELATIONS IN THE ELECTRIC DOUBLE-LAYER .2. SYMMETRIC ELECTROLYTE [J].
ATTARD, P ;
MITCHELL, DJ ;
NINHAM, BW .
JOURNAL OF CHEMICAL PHYSICS, 1988, 89 (07) :4358-4367
[3]   STATISTICAL-MECHANICS OF SIMPLE COULOMB-SYSTEMS [J].
BAUS, M ;
HANSEN, JP .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1980, 59 (01) :1-94
[4]   Strongly charged polyelectrolyte brushes: A molecular dynamics study [J].
Csajka, FS ;
Seidel, C .
MACROMOLECULES, 2000, 33 (07) :2728-2739
[5]   Fraction of condensed counterions around a charged rod: Comparison of Poisson-Boltzmann theory and computer simulations [J].
Deserno, M ;
Holm, C ;
May, S .
MACROMOLECULES, 2000, 33 (01) :199-206
[6]   INTERACTION OF CHARGED SURFACES IN ELECTROLYTE-SOLUTIONS [J].
KJELLANDER, R ;
MARCELJA, S .
CHEMICAL PHYSICS LETTERS, 1986, 127 (04) :402-407
[7]   Ion-ion correlations and effective charges in electrolyte and macroion systems [J].
Kjellander, R .
BERICHTE DER BUNSEN-GESELLSCHAFT-PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 1996, 100 (06) :894-904
[8]   Novel electrostatic attraction from plasmon fluctuations [J].
Lau, AWC ;
Levine, D ;
Pincus, P .
PHYSICAL REVIEW LETTERS, 2000, 84 (18) :4116-4119
[9]  
LEKNER J, 1991, PHYSICA A, V176, P524
[10]   Beyond Poisson-Boltzmann: Fluctuation effects and correlation functions [J].
Netz, RR ;
Orland, H .
EUROPEAN PHYSICAL JOURNAL E, 2000, 1 (2-3) :203-214