Field theoretic derivation of the contact value theorem in planar geometries and its modification by the Casimir effect

被引：18
|
作者：
Dean, DS
Horgan, RR
机构：
[1] Univ Toulouse 3, Phys Quant Lab, IRSAMC, F-31062 Toulouse 04, France
[2] Univ Cambridge, CMS, DAMTP, Cambridge CB3 0WA, England
来源：
PHYSICAL REVIEW E | 2003年 / 68卷 / 06期
关键词：
D O I：
10.1103/PhysRevE.68.061106
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：
The contact value theorem for Coulomb gases in planar or filmlike geometries is derived using a Hamiltonian field theoretic representation of the system. The case where the film is enclosed by a material of different dielectric constant to that of the film is shown to contain an additional Casimir-like term which is generated by fluctuations of the electric potential about its mean-field value.
引用
收藏
页数：7
相关论文
共 25 条
  • [1] The contact theorem for charged fluids: from planar to curved geometries
    Pablo Mallarino, Juan
    Tellez, Gabriel
    Trizac, Emmanuel
    MOLECULAR PHYSICS, 2015, 113 (17-18) : 2409 - 2427
  • [2] QUANTUM-FIELD THEORETIC TREATMENT OF THE CASIMIR EFFECT
    BORDAG, M
    ROBASCHIK, D
    WIECZOREK, E
    ANNALS OF PHYSICS, 1985, 165 (01) : 192 - 213
  • [3] Electromagnetic field correlators and the Casimir effect for planar boundaries in AdS spacetime with application in braneworlds
    Saharian, A. A.
    Kotanjyan, A. S.
    Sargsyan, H. G.
    PHYSICAL REVIEW D, 2020, 102 (10)
  • [4] COST AGGREGATION TABLE: A THEORETIC DERIVATION ON THE MARKOV RANDOM FIELD AND ITS RELATION TO MESSAGE PASSING
    Ha, JeongMok
    Jeon, Byeongchan
    Jeon, JeaYoung
    Jo, Sung Yong
    Jeong, Hong
    2015 IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING (ICIP), 2015, : 2224 - 2228
  • [5] Field theoretic description of electromagnetic boundaries The Casimir effect between dissimilar mirrors from external potentials
    Barone, F. A.
    Barone, F. E.
    EUROPEAN PHYSICAL JOURNAL C, 2014, 74 (10): : 1 - 7
  • [6] Field theoretic description of electromagnetic boundariesThe Casimir effect between dissimilar mirrors from external potentials
    F. A. Barone
    F. E. Barone
    The European Physical Journal C, 2014, 74
  • [7] Thermo-field dynamics of the Casimir effect and its quantum deformation
    Jing, H
    Xie, BH
    Chen, JL
    CHINESE PHYSICS LETTERS, 2001, 18 (06) : 740 - 742
  • [8] QUANTUM-FIELD THEORETIC TREATMENT OF THE CASIMIR EFFECT AT T-GREATER-THAN-0 - REAL-TIME FORMALISM - FREE FIELD APPROXIMATION
    SCHARNHORST, K
    ROBASCHIK, D
    WIECZOREK, E
    ANNALEN DER PHYSIK, 1987, 44 (05) : 351 - 360
  • [9] The Effect of Thermal Modification of Oak Wood on Waviness Values in the Planar Milling Process, Monitored with a Contact Method
    Kaplan, Lukas
    Sedlecky, Miroslav
    Kvietkova, Monika Sarvasova
    Sikora, Adam
    BIORESOURCES, 2018, 13 (01): : 1591 - 1604
  • [10] Effect of Metal Contact on Electron Transport and Its Removal in Graphene Field Effect Devices
    Higuchi, Shoma
    Sonoda, Hiroki
    Ito, Yu
    Katakura, Kenta
    Tomori, Hikari
    Kanda, Akinobu
    2016 COMPOUND SEMICONDUCTOR WEEK (CSW) INCLUDES 28TH INTERNATIONAL CONFERENCE ON INDIUM PHOSPHIDE & RELATED MATERIALS (IPRM) & 43RD INTERNATIONAL SYMPOSIUM ON COMPOUND SEMICONDUCTORS (ISCS), 2016,
123