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Statistical analysis of highly corre...

Martin, Hector Garcia.

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Statistical analysis of highly correlated systems in biology and physics.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Statistical analysis of highly correlated systems in biology and physics./
Author:	Martin, Hector Garcia.
Description:	216 p.
Notes:	Source: Dissertation Abstracts International, Volume: 66-01, Section: B, page: 0326.
Contained By:	Dissertation Abstracts International66-01B.
Subject:	Physics, Condensed Matter. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3160885
ISBN:	0496945300

Statistical analysis of highly correlated systems in biology and physics.
Martin, Hector Garcia.

Statistical analysis of highly correlated systems in biology and physics. - 216 p.

Source: Dissertation Abstracts International, Volume: 66-01, Section: B, page: 0326.

Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.

In this dissertation, I present my work on the statistical study of highly correlated systems in three fields of science: ecology, microbial ecology and physics.

ISBN: 0496945300Subjects--Topical Terms:

1018743
Physics, Condensed Matter.

Statistical analysis of highly correlated systems in biology and physics.
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100 1 $a Martin, Hector Garcia. $3 1905065
245 1 0 $a Statistical analysis of highly correlated systems in biology and physics.
300 $a 216 p.
500 $a Source: Dissertation Abstracts International, Volume: 66-01, Section: B, page: 0326.
500 $a Adviser: Nigel Goldenfeld.
502 $a Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.
520 $a In this dissertation, I present my work on the statistical study of highly correlated systems in three fields of science: ecology, microbial ecology and physics.
520 $a I propose an explanation for how the highly correlated distribution of species individuals, and an abundance distribution commonly observed in ecological systems, give rise to a power law dependence between a given area and the number of unique species it harbors. This is one of the oldest known ecological patterns: the power-law Species Area Rule.
520 $a As a natural extension of my studies in ecology, I have undertaken both theoretical research and field work in the developing field of microbial ecology. In particular, I participated in a multidisciplinary study of the impact of microbes on the formation of macroscopic calcium carbonate terraces at Yellowstone National Park Hot Springs. I have used ecological techniques to characterize the biodiversity of our study site and developed a new bootstrap method for extracting abundance information from clone libraries. This has singled out the most abundant microorganisms and paved the way for future studies of the possible non-passive role of microorganisms in carbonate precipitation.
520 $a The third part of my thesis uses statistical techniques to explore the correlations in rotating Bose-Einstein condensates. I have used finite difference techniques to solve the Gross-Pitaevskii equation in order to obtain the structure of a vortex in a lattice. Surprisingly, I have found that, in order to understand this structure, it is necessary to add a correction to the Gross-Pitaevskii equation which introduces a dependence on the particle scattering length.
520 $a 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.
590 $a School code: 0090.
650 4 $a Physics, Condensed Matter. $3 1018743
650 4 $a Biology, Ecology. $3 1017726
650 4 $a Biology, Microbiology. $3 1017734
690 $a 0611
690 $a 0329
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710 2 0 $a University of Illinois at Urbana-Champaign. $3 626646
773 0 $t Dissertation Abstracts International $g 66-01B.
790 1 0 $a Goldenfeld, Nigel, $e advisor
790 $a 0090
791 $a Ph.D.
792 $a 2004
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3160885