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The one dimensional Coulomb lattice fluid capacitor

hal.structure.identifierPhysique Statistique des Systèmes Complexes (LPT) [PhyStat]
hal.structure.identifierLaboratoire de Physique Théorique [LPT]
dc.contributor.authorDÉMERY, Vincent
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorDEAN, David S.
hal.structure.identifierDepartment of Applied Mathematics and Theoretical Physics [DAMTP]
dc.contributor.authorHAMMANT, Thomas C.
hal.structure.identifierDepartment of Applied Mathematics and Theoretical Physics [DAMTP]
dc.contributor.authorHORGAN, Ronald R.
hal.structure.identifierDepartment of Theoretical Physics
hal.structure.identifierDepartment of Physics
dc.contributor.authorPODGORNIK, Rudolf
dc.date.created2012-06-21
dc.date.issued2012
dc.identifier.issn0021-9606
dc.description.abstractEnThe one dimensional Coulomb lattice fluid in a capacitor configuration is studied. The model is formally exactly soluble via a transfer operator method within a field theoretic representation of the model. The only interactions present in the model are the one dimensional Coulomb interaction between cations and anions and the steric interaction imposed by restricting the maximal occupancy at any lattice site to one particle. Despite the simplicity of the model, a wide range of intriguing physical phenomena arise, some of which are strongly reminiscent of those seen in experiments and numerical simulations of three dimensional ionic liquid based capacitors. Notably we find regimes where over-screening and density oscillations are seen near the capacitor plates. The capacitance is also shown to exhibit strong oscillations as a function of applied voltage. It is also shown that the corresponding mean field theory misses most of these effects. The analytical results are confirmed by extensive numerical simulations.
dc.language.isoen
dc.publisherAmerican Institute of Physics
dc.title.enThe one dimensional Coulomb lattice fluid capacitor
dc.typeArticle de revue
dc.identifier.doi10.1063/1.4740233
dc.subject.halPhysique [physics]/Matière Condensée [cond-mat]/Matière Molle [cond-mat.soft]
dc.identifier.arxiv1206.4918
bordeaux.journalJournal of Chemical Physics
bordeaux.page064901
bordeaux.volume137
bordeaux.issue6
bordeaux.peerReviewedoui
hal.identifierhal-00732065
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00732065v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Chemical%20Physics&rft.date=2012&rft.volume=137&rft.issue=6&rft.spage=064901&rft.epage=064901&rft.eissn=0021-9606&rft.issn=0021-9606&rft.au=D%C3%89MERY,%20Vincent&DEAN,%20David%20S.&HAMMANT,%20Thomas%20C.&HORGAN,%20Ronald%20R.&PODGORNIK,%20Rudolf&rft.genre=article


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