Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions

Eab, C. H. and Lim, S. C. and Teo, L. P. (2007) Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions. Journal of Mathematical Physics, 48 (8). 082301. ISSN 00222488

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Official URL: http://dx.doi.org/10.1063/1.2760374

Abstract

This paper studies the Casimir effect due to fractional massless Klein-Gordon field confined to parallel plates. A new kind of boundary condition called fractional Neumann condition which involves vanishing fractional derivatives of the field is introduced. The fractional Neumann condition allows the interpolation of Dirichlet and Neumann conditions imposed on the two plates. There exists a transition value in the difference between the orders of the fractional Neumann conditions for which the Casimir force changes from attractive to repulsive. Low and high temperature limits of Casimir energy and pressure are obtained. For sufficiently high temperature, these quantities are dominated by terms independent of the boundary conditions. Finally, validity of the temperature inversion symmetry for various boundary conditions is discussed.

Item Type: Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Engineering (FOE)
Depositing User: Ms Suzilawati Abu Samah
Date Deposited: 04 Sep 2013 03:44
Last Modified: 04 Sep 2013 03:44
URI: http://shdl.mmu.edu.my/id/eprint/3922

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