Exact Results for the Zeros of the Partition Function of the Potts Model

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" Exact Results for the Zeros of the Partition Function of the Potts Model "

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	151544
Doc. No	:	ET23336
Main Entry	:	Seung-Yeon Kim
Title Proper	:	Exact Results for the Zeros of the Partition Function of the Potts Model
Note	:	This document is digital این مدرک بصورت الکترونیکی می باشد
Abstract	:	Two transfer-matrix algorithms for calculating the exact partition function of theQ-state Potts model on finite lattices are introduced. The microcanonical transfermatrix is applicable for integer Q and gives the partition function a t any temperatureand in an arbitrary magnetic field. The random-cluster transfer matrix produces thepartition function for any value of Q and a t any temperature. The critical behaviorof the Potts model in both the ferromagnetic and antiferromagnetic phases is studiedusing the distribution of the zeros of the partition function in the complex magnetic-field plane (Yang-Lee zeros), in the complex temperature plane (Fisher zeros), andin the complex Q plane (Potts zeros). The finite-size scaling form for the densityof zeros is introduced and is used to determine the order of a phase transition andevaluate physical quantities like the order parameter.....-....,....-...,..tested for theQ1 PC1 bus cardBoth these projects mere sofixare des elopment efforts tonards contributing to dlfferentaspects of Roboucs and lZ1echatronics projects m the Controls and Roboucs Group..
Subject	:	Electericl tess
	:	برق
electronic file name	:	TL46575.pdf
Title and statement of responsibility and	:	Exact Results for the Zeros of the Partition Function of the Potts Model [Thesis]