| Title: |
Frustrated Potts: Multiplicity Eliminates Chaos via Reentrance |
| Authors: |
Turkoglu, Alpar; Berker, A. Nihat |
| Source: |
Phys. Rev. E 102, 022122 (2020) |
| Publication Year: |
2020 |
| Collection: |
Mathematics; Condensed Matter; Mathematical Physics; Nonlinear Sciences |
| Subject Terms: |
Condensed Matter - Statistical Mechanics; Mathematical Physics; Nonlinear Sciences - Chaotic Dynamics |
| Description: |
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.; Comment: Published version, 4 pages, 6 figures |
| Document Type: |
Working Paper |
| DOI: |
10.1103/PhysRevE.102.022122 |
| Access URL: |
http://arxiv.org/abs/2006.01485 |
| Accession Number: |
edsarx.2006.01485 |
| Database: |
arXiv |