How to Prove a Differential Form of the Generalized Second Law

Simple item page
dc.contributor.advisorJacobson, Theodore Aen_US
dc.contributor.authorWall, Aron Clarken_US
dc.contributor.departmentPhysicsen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2011-07-07T05:45:53Z
dc.date.available2011-07-07T05:45:53Z
dc.date.issued2011en_US
dc.description.abstractA new method is given for proving the semiclassical generalized second law (GSL) of horizon thermodynamics. Unlike previous methods, this method can be used to prove that entropy increases for arbitrary slices of causal horizons, even when the matter fields falling across the horizon are rapidly changing with time. Chapter I discusses how to define the GSL, and critically reviews previous proofs in the literature. Chapter II describes the proof method in the special case of flat planar slices of Rindler horizons, assuming the existence of a valid renormalization scheme. Chapter III generalizes the proof method to arbitrary slices of semiclassical causal horizons, by the technique of restricting the fields to the horizon itself. In the case of free fields it is clear that this restriction is possible, but for interacting fields the situation is murkier. Each of the three parts has been, or will be, separately published elsewhere.en_US
dc.identifier.urihttp://hdl.handle.net/1903/11701
dc.subject.pqcontrolledPhysicsen_US
dc.subject.pquncontrolledblack holeen_US
dc.subject.pquncontrolledentropyen_US
dc.subject.pquncontrolledGSLen_US
dc.subject.pquncontrolledhorizonen_US
dc.subject.pquncontrolledproofen_US
dc.subject.pquncontrolledthermodynamicsen_US
dc.titleHow to Prove a Differential Form of the Generalized Second Lawen_US
dc.typeDissertationen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Wall_umd_0117E_12133.pdf
Size:
1007.6 KB
Format:
Adobe Portable Document Format
Download

Collections

UMD Theses and Dissertations
Physics Theses and Dissertations