Frustrated Potts Model: Multiplicity Eliminates Chaos Via Reentrance
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Date
2020
Authors
Türkoğlu, Alpar
Berker, A. Nihat
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Volume Title
Publisher
Amer Physical Soc
Open Access Color
Green Open Access
Yes
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No
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Abstract
The frustrated q-state Potts model is solved exactly on a hierarchical lattice, yielding chaos under rescaling, namely, the signature of a spin-glass phase, as previously seen for the Ising (q = 2) model. However, the ground-state entropy introduced by the (q > 2)-state antiferromagnetic Potts bond induces an escape from chaos as multiplicity q increases. The frustration versus multiplicity phase diagram has a reentrant (as a function of frustration) chaotic phase.
Description
Keywords
Spin Systems, Hierarchical Lattices, 2 Dimensions, Phase, Statistical Mechanics (cond-mat.stat-mech), Phase, Hierarchical Lattices, FOS: Physical sciences, Mathematical Physics (math-ph), 2 Dimensions, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, Condensed Matter - Statistical Mechanics, Mathematical Physics, Spin Systems
Turkish CoHE Thesis Center URL
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
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Q1
Scopus Q
Q2
OpenCitations Citation Count
3
Source
Physical Review E
Volume
102
Issue
2
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Scopus : 3
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3
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3
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