Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions
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 th...
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AMER INST PHYSICS, CIRCULATION & FULFILLMENT DIV
2007
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| Online Access: | http://shdl.mmu.edu.my/3020/ |
| _version_ | 1848790212156588032 |
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| author | Eab, C. H. Lim, S. C. Teo, L. P. |
| author_facet | Eab, C. H. Lim, S. C. Teo, L. P. |
| author_sort | Eab, C. H. |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:09:01Z |
| format | Article |
| id | mmu-3020 |
| institution | Multimedia University |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:09:01Z |
| publishDate | 2007 |
| publisher | AMER INST PHYSICS, CIRCULATION & FULFILLMENT DIV |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-30202011-09-29T06:20:09Z http://shdl.mmu.edu.my/3020/ Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions Eab, C. H. Lim, S. C. Teo, L. P. T Technology (General) QC Physics 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. AMER INST PHYSICS, CIRCULATION & FULFILLMENT DIV 2007-08 Article NonPeerReviewed 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 http://dx.doi.org/10.1063/1.2760374 doi:10.1063/1.2760374 doi:10.1063/1.2760374 |
| spellingShingle | T Technology (General) QC Physics Eab, C. H. Lim, S. C. Teo, L. P. Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions |
| title | Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions |
| title_full | Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions |
| title_fullStr | Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions |
| title_full_unstemmed | Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions |
| title_short | Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions |
| title_sort | finite temperature casimir effect for a massless fractional klein-gordon field with fractional neumann conditions |
| topic | T Technology (General) QC Physics |
| url | http://shdl.mmu.edu.my/3020/ http://shdl.mmu.edu.my/3020/ http://shdl.mmu.edu.my/3020/ |