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Phase transition in spin systems with various types of fluctuations.

Authors
Type
Published Article
Journal
Proceedings of the Japan Academy. Series B, Physical and biological sciences
Publication Date
Volume
86
Issue
7
Pages
643–666
Identifiers
PMID: 20689226
Source
Medline

Abstract

Various types ordering processes in systems with large fluctuation are overviewed. Generally, the so-called order-disorder phase transition takes place in competition between the interaction causing the system be ordered and the entropy causing a random disturbance. Nature of the phase transition strongly depends on the type of fluctuation which is determined by the structure of the order parameter of the system. As to the critical property of phase transitions, the concept "universality of the critical phenomena" is well established. However, we still find variety of features of ordering processes. In this article, we study effects of various mechanisms which bring large fluctuation in the system, e.g., continuous symmetry of the spin in low dimensions, contradictions among interactions (frustration), randomness of the lattice, quantum fluctuations, and a long range interaction in off-lattice systems.

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