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Interacting Boson gases and large deviation principles
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Dickson, Matthew (2019) Interacting Boson gases and large deviation principles. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3714494
Abstract
We consider probabilistic models for interacting bosons at a positive temperature in the thermodynamic limit with random particle density. The Loop Soup representation is a marked point process arising from the Feynman-Kac formula for the grand canonical partition function for a Bose gas, and the Cycle Count representation is in turn found by projecting onto the space of mark-type densities. Interacting versions of the Loop Soup and Cycle Count models are found by applying Varadhan-like arguments. Large deviation principles are found for a variety of interactions, which provide representation formulae for the thermodynamic limit of the pressure and a means to study Bose-Einstein condensation in these models.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Library of Congress Subject Headings (LCSH): | Interacting boson models, Bose-Einstein gas, Bosons -- Mathematical models, Loop spaces, Bose-Einstein condensation | ||||
Official Date: | September 2019 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Adams, Stefan | ||||
Sponsors: | Engineering and Physical Sciences Research Council | ||||
Format of File: | |||||
Extent: | viii, 193 leaves | ||||
Language: | eng |
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