'Screening' of universal van der Waals-Casimir terms by Coulomb gases in a fully finite two-dimensional geometry
Journal of Statistical Mechanics: Theory and Experiment, ISSN: 1742-5468, Vol: 2005, Issue: 5, Page: 69-89
2005
- 1Citations
- 4Captures
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- Citations1
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Review Description
This paper is a continuation of a previous one (Jancovici and Šamaj, 2004 J. Stat. Mech. P08006) dealing with classical Casimir phenomena in semi-infinite wall geometries. In that paper, using microscopic Coulomb systems, the long-ranged Casimir force due to thermal fluctuations in conducting walls was shown to be screened by the presence of an electrolyte between the walls into some residual short-ranged force. Here, we aim to extend the study of the screening (cancellation) phenomena to universal Casimir terms appearing in the large-size expansions of the grand potentials for microscopic Coulomb systems confined in fully finite 2D geometries, in particular the disc geometry. Two cases are solved exactly: the high-temperature (Debye-Hückel) limit and the Thirring free-fermion point. Similarities and fundamental differences between fully finite and semi-finite geometries are pointed out. © IOP Publishing Ltd.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=21244497268&origin=inward; http://dx.doi.org/10.1088/1742-5468/2005/05/p05004; https://iopscience.iop.org/article/10.1088/1742-5468/2005/05/P05004; http://stacks.iop.org/1742-5468/2005/i=05/a=P05004?key=crossref.639816d96ee1527d70d78c24ea3c25cd; https://dx.doi.org/10.1088/1742-5468/2005/05/p05004; https://validate.perfdrive.com/fb803c746e9148689b3984a31fccd902/?ssa=7d2001af-baae-4f95-b7bd-4716ddbb010b&ssb=82296281119&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F1742-5468%2F2005%2F05%2FP05004&ssi=8c5bb30e-8427-4246-9520-82c5b0d1890d&ssk=support@shieldsquare.com&ssm=41973229021754846906041337975911176&ssn=52832a6fb19b338c136ddf358601b958534fa842bdc0-9b7b-4e59-bb2e50&sso=952c50fa-9e3578620ac4a82eda4d6ae82f3e289be251d40f238c211b&ssp=29723268791719965402172012236143405&ssq=45905497579215194712441132321664862992304&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJyZCI6ImlvcC5vcmciLCJ1em14IjoiN2Y5MDAwZWQ3OGYyMmMtODkyYi00NTZhLWFmZTItMzg4OWE4YzkyNDE0NC0xNzE5OTQxMTMyNTY0MjM0NjU5NzU3LWE4MGVmZTJhYWM2ZmNjOWU5MDU5OCIsIl9fdXptZiI6IjdmNjAwMGIzYTMwMWU3LWYyNWUtNGQzOS05NDRiLWFiOWE4ZjQ0OTBjNjE3MTk5NDExMzI1NjQyMzQ2NTk3NTctZDlhMzYzZTI4YTA0Njc5ZTkwNTk4In0=
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