Majority Rule at Low Temperatures on the Square and Triangular Lattices

Content Provider	Semantic Scholar
Author	Kennedy, Tom
Copyright Year	1997
Abstract	We consider the majority rule renormalization group transformation applied to nearest neighbor Ising models. For the square lattice with 2 by 2 blocks we prove that if the temperature is sufficiently low, then the transformation is not defined. We use the methods of [17], who proved the renormalized measure is not Gibbsian for 7 by 7 blocks if the temperature is too low. For the triangular lattice we prove that a zero temperature majority rule transformation may be defined. The resulting renormalized Hamiltonian is local with 14 different types of interactions.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://arxiv.org/pdf/cond-mat/9605104v1.pdf
Language	English
Access Restriction	Open
Subject Keyword	Arabic numeral 0 Hamiltonian (quantum mechanics) Interaction Ising model Low sodium diet Single Linkage Cluster Analysis
Content Type	Text
Resource Type	Article