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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

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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 or Dissertation (PhD)
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
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:
DateEvent
September 2019UNSPECIFIED
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Publication Status: Unpublished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: pdf
Extent: viii, 193 leaves
Language: eng

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