Statistical Analysis of Highly Correlated Systems in Biology and Physics
García Martín, Héctor
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Permalink
https://hdl.handle.net/2142/80506
Description
Title
Statistical Analysis of Highly Correlated Systems in Biology and Physics
Author(s)
García Martín, Héctor
Issue Date
2004
Doctoral Committee Chair(s)
Nigel Goldenfeld
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Biology, Microbiology
Language
eng
Abstract
I have also used Path Integral Monte Carlo techniques to explore the limit of rapid rotations, where the Gross-Pitaevskii equation is no longer valid. Interestingly, the Gross-Pitaevskii equation seems to be valid for much higher densities than expected if properly renormalized. I show that, in accord with the prediction of the Gross-Pitaevskii equations, a scale invariant vortex lattice state is found at high rotations.
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