Microcanonical entropy of a black hole

dc.contributor.authorBhaduri, Rajat K.
dc.contributor.authorTran, Muoi N.
dc.contributor.authorDas, Saurya
dc.date.accessioned2016-01-25T19:40:00Z
dc.date.available2016-01-25T19:40:00Z
dc.date.issued2016-01-25
dc.descriptionSherpa Romeo green journal. Permission to archive final published version.en_US
dc.description.abstractIt has been suggested recently that the microcanonical entropy of a system may be accurately reproduced by including a logarithmic correction to the canonical entropy. In this paper we test this claim both analytically and numerically by considering three simple thermodynamic models whose energy spectrum may be defined in terms of one quantum number only, as in a non-rotating black hole. The first two pertain to collections of noninteracting bosons, with logarithmic and power-law spectra. The last is an area ensemble for a black hole with equi-spaced area spectrum. In this case, the many-body degeneracy factor can be obtained analytically in a closed form. We also show that in this model, the leading term in the entropy is proportional to the horizon area A, and the next term is lnA with a negative coefficient.en_US
dc.description.peer-reviewYesen_US
dc.identifier.citationBhaduri, R. K., Tran, M. N., & Das. S. (2004). Microcanonical entropy of a black hole. Physical Review D, 69(10), 104018. doi:10.1103/PhysRevD.69.104018
dc.identifier.urihttps://hdl.handle.net/10133/3958
dc.language.isoen_CAen_US
dc.publisher.departmentDepartment of Physicsen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionMcMaster Universityen_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.publisher.urlhttps://doi.org/10.1103/PhysRevD.69.104018
dc.subjectBlack holesen_US
dc.subjectHawking effecten_US
dc.subjectMicrocanonical esembleen_US
dc.subjectExtra dimensionsen_US
dc.titleMicrocanonical entropy of a black holeen_US
dc.typeArticleen_US
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