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DTIC ADA238220: Singularities in Gaussian Random Fields |
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by Defense Technical Information Center |
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This paper discusses a Gaussian random field that arises |
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in pattern analysis. This random field exhibits phase |
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transitive behavior for a particular value of the |
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temperature parameter. We analyze this kind of non |
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singular behavior and the effect that it has on the field |
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random variables. The limiting specific heat also |
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exhibits a phase transition with a power law behavior. |
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One of the principal aims of statistical mechanics is to |
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derive the thermodynamic behavior of macroscopic bodies |
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beginning from a description of their microscopic |
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components. A good deal of work has been done on |
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modelling ferromagnetic and antiferromagnetic behavior. A |
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magnet can be considered to have a large number of |
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magnetic domains, to each of which a magnetic spin is |
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associated that represents the direction of magnetization |
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at that domain. We usually assume that the spins take two |
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values, 0 and 1. The physical models usually postulate |
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that these domains are sites (or vertices) in a graph. |
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Date Published: 2018-03-03 01:53:01 |
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Identifier: DTIC_ADA238220 |
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Item Size: 15464443 |
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Language: english |
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Media Type: texts |
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# Topics |
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DTIC Archive; Kurien, T V ; FLORIDA ... |
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