Phase Transitions of the Variety of Random-Field Potts Models

dc.authorid Turkoglu, Alpar/0000-0002-3784-1300
dc.authorid Berker, A/0000-0002-5172-2172
dc.authorwosid Turkoglu, Alpar/HNS-7546-2023
dc.contributor.author Turkoglu, Alpar
dc.contributor.author Berker, Ahmet Nihat
dc.contributor.author Berker, A. Nihat
dc.contributor.other Electrical-Electronics Engineering
dc.date.accessioned 2023-10-19T15:11:40Z
dc.date.available 2023-10-19T15:11:40Z
dc.date.issued 2021
dc.department-temp [Turkoglu, Alpar] Bogazici Univ, Dept Elect & Elect Engn, TR-34342 Istanbul, Turkey; [Berker, A. Nihat] Kadir Has Univ, Fac Engn & Nat Sci, TR-34083 Istanbul, Turkey; [Berker, A. Nihat] MIT, Dept Phys, Cambridge, MA 02139 USA en_US
dc.description.abstract The phase transitions of random-field q-state Potts models in d = 3 dimensions are studied by renormalization-group theory by exact solution of a hierarchical lattice and, equivalently, approximate Migdal-Kadanoff solutions of a cubic lattice. The recursion, under rescaling, of coupled random-field and random-bond (induced under rescaling by random fields) coupled probability distributions is followed to obtain phase diagrams. Unlike the Ising model (q = 2), several types of random fields can be defined for q >= 3 Potts models, including random-axis favored, random-axis disfavored, random-axis randomly favored or disfavored cases, all of which are studied. Quantitatively very similar phase diagrams are obtained, for a given q for the three types of field randomness, with the low-temperature ordered phase persisting, increasingly as temperature is lowered, up to random-field threshold in d = 3, which is calculated for all temperatures below the zero-field critical temperature. Phase diagrams thus obtained are compared as a function of q. The ordered phase in the low-q models reaches higher temperatures, while in the high-q models it reaches higher random fields. This renormalization-group calculation result is physically explained. (c) 2021 Elsevier B.V. All rights reserved. en_US
dc.description.sponsorship Academy of Sciences of Turkey (TUBA) en_US
dc.description.sponsorship Support by the Academy of Sciences of Turkey (TUBA) is gratefully acknowledged. en_US
dc.identifier.citationcount 4
dc.identifier.doi 10.1016/j.physa.2021.126339 en_US
dc.identifier.issn 0378-4371
dc.identifier.issn 1873-2119
dc.identifier.scopus 2-s2.0-85112857081 en_US
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1016/j.physa.2021.126339
dc.identifier.uri https://hdl.handle.net/20.500.12469/5157
dc.identifier.volume 583 en_US
dc.identifier.wos WOS:000701326800043 en_US
dc.identifier.wosquality Q2
dc.khas 20231019-WoS en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.relation.ispartof Physica A-Statistical Mechanics and Its Applications en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 4
dc.subject Hierarchical Lattices En_Us
dc.subject Critical-Behavior En_Us
dc.subject Spin Systems En_Us
dc.subject Renormalization En_Us
dc.subject State En_Us
dc.subject Criterion En_Us
dc.subject Kadanoff En_Us
dc.subject Order En_Us
dc.subject Hierarchical Lattices
dc.subject Critical-Behavior
dc.subject Spin Systems
dc.subject Phase transitions en_US
dc.subject Renormalization
dc.subject Potts models en_US
dc.subject State
dc.subject Random fields en_US
dc.subject Criterion
dc.subject Renormalization-group theory en_US
dc.subject Kadanoff
dc.subject Hierarchical models en_US
dc.subject Order
dc.subject Exact solutions en_US
dc.title Phase Transitions of the Variety of Random-Field Potts Models en_US
dc.type Article en_US
dc.wos.citedbyCount 4
dspace.entity.type Publication
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