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Domain Coarsening in the Hyperbolic Plane

Title: Domain Coarsening in the Hyperbolic Plane.
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Name(s): Raffield, Jesse, author
Department of Physics
Type of Resource: text
Genre: Text
Issuance: serial
Date Issued: 2013
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: Since the simplest case was solved exactly by Onsager in 1944, the two-dimensional Ising model has become one of the most studied models in statistical physics. Despite its simplicity, it has found applications in research ranging from condensed matter physics to biology. Our research focused on an interesting variant of this model that lives within an area of negative Gaussian curvature instead of traditional Euclidean space. Specifically, a series of Monte-Carlo simulations were conducted to analyze how domains within the model coarsen as a function of time. In the Euclidean model, the feature size goes as t1/3<\sup>, which is close to our results on two of the Euclidean lattices, but for our model on a hyperbolic lattice the characteristic growth exponent was found to be much lower, approximately 0.13.
Identifier: FSU_migr_uhm-0199 (IID)
Keywords: hyperbolic plane, Ising model, domain coarsening, spinodal, negative curvature, growth law
Submitted Note: A Thesis submitted to the Department of Physics in partial fulfllment of the requirements for the degree of Honors in the Major.
Degree Awarded: Spring Semester, 2013.
Date of Defense: April 22, 2013.
Subject(s): Condensed matter
Physics
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_migr_uhm-0199
Restrictions on Access: http://creativecommons.org/licenses/by-nc/3.0/
Owner Institution: FSU
Is Part of Series: Honors Theses.

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Raffield, J. (2013). Domain Coarsening in the Hyperbolic Plane. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_uhm-0199