Grand Canonical Ensembles in General Relativity
dc.creator | Klein, D | |
dc.creator | Yang, WS | |
dc.date.accessioned | 2021-02-04T21:21:41Z | |
dc.date.available | 2021-02-04T21:21:41Z | |
dc.date.issued | 2012-03-01 | |
dc.identifier.issn | 1385-0172 | |
dc.identifier.issn | 1572-9656 | |
dc.identifier.doi | http://dx.doi.org/10.34944/dspace/5993 | |
dc.identifier.other | 899YL (isidoc) | |
dc.identifier.uri | http://hdl.handle.net/20.500.12613/6011 | |
dc.description.abstract | We develop a formalism for general relativistic, grand canonical ensembles in space-times with timelike Killing fields. Using that, we derive ideal gas laws, and show how they depend on the geometry of the particular space-times. A systematic method for calculating Newtonian limits is given for a class of these space-times, which is illustrated for Kerr space-time. In addition, we prove uniqueness of the infinite volume Gibbs measure, and absence of phase transitions for a class of interaction potentials in anti-de Sitter space. © 2012 Springer Science+Business Media B.V. | |
dc.format.extent | 61-83 | |
dc.language.iso | en | |
dc.relation.haspart | Mathematical Physics Analysis and Geometry | |
dc.relation.isreferencedby | Springer Science and Business Media LLC | |
dc.subject | Relativistic Gibbs state | |
dc.subject | Fermi coordinates | |
dc.subject | Grand canonical ensemble | |
dc.subject | Ideal gas | |
dc.subject | Anti-de Sitter space | |
dc.subject | De-Sitter space | |
dc.subject | Einstein static universe | |
dc.subject | Kerr space-time | |
dc.title | Grand Canonical Ensembles in General Relativity | |
dc.type | Article | |
dc.type.genre | Journal Article | |
dc.relation.doi | 10.1007/s11040-011-9103-5 | |
dc.ada.note | For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu | |
dc.date.updated | 2021-02-04T21:21:39Z | |
refterms.dateFOA | 2021-02-04T21:21:42Z |