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Finite temperature and boundary effects in static space-times
Open accessAbstract
Expressions are derived for the free energy of a massless scalar gas confined to a spatial cavity in a static space-time at a finite temperature. A high temperature expansion is presented in terms of the Minakshisundaram coefficients. This gives curvature and boundary corrections to the Planckian form. The regularisation used is the zeta function one, and yields a finite total internal energy. However, it is known that the local energy density diverges in a non-integrable way as the boundary is approached. A 'surface energy' is suggested to reconcile these two facts. Explicit expressions for the total energy inside two infinite rectangular waveguides are obtained.
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Citations
Cites
Theory of Many-Particle Systems. I
Martin, P. C., & Schwinger, J. (1959) · Physical Review · doi:10.1103/physrev.115.1342 · Cited by 1,816
Nonuniqueness of canonical field quantization in Riemannian space-time
Fulling, S. A. (1973) · Physical Review D · doi:10.1103/physrevd.7.2850 · Cited by 1,044
Cited by
Advances in the Casimir Effect
Bordag, M., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · doi:10.1093/acprof:oso/9780199238743.001.0001 · Cited by 1,284
Universal upper bound on the entropy-to-energy ratio for bounded systems
Bekenstein, J. D. (1981) · Physical Review D · doi:10.1103/physrevd.23.287 · Cited by 1,182
Entanglement Entropy of Black Holes
Solodukhin, S. N. (2011) · Living Reviews in Relativity · doi:10.12942/lrr-2011-8 · Cited by 453
Thermal stress tensors in static Einstein spaces
Page, D. N. (1982) · Physical Review D · doi:10.1103/physrevd.25.1499 · Cited by 291
Harmonic analysis and propagators on homogeneous spaces
Camporesi, R. (1990) · Physics Reports · doi:10.1016/0370-1573(90)90120-q · Cited by 257
Metadata
- Authors
- Dowker, J. S., & Kennedy, G.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1978-05
- Volume
- 11
- Issue
- 5
- Pages
- 895-920
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2049484903
- Cited by
- 351
- References
- 2
- FWCI
- 3.04
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Dowker, J. S., & Kennedy, G. (1978). Finite temperature and boundary effects in static space-times. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/11/5/020
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
