Mixed-order phase transition in a minimal, diffusion-based spin model

Agata Fronczak , Piotr Fronczak


In this paper we exactly solve, within the grand canonical ensemble, a minimal spin model with the hybrid phase transition. We call the model diffusion based because its Hamiltonian can be recovered from a simple dynamic procedure, which can be seen as an equilibrium statistical mechanics representation of a biased random walk. We outline the derivation of the phase diagram of the model, in which the triple point has the hallmarks of the hybrid transition: discontinuity in the average magnetization and algebraically diverging susceptibilities. At this point, two second-order transition curves meet in equilibrium with the first-order curve, resulting in a prototypical mixed-order behavior. © 2016 American Physical Society.
Author Agata Fronczak (FP / PCSD)
Agata Fronczak,,
- Physics of Complex Systems Divison
, Piotr Fronczak (FP / PCSD)
Piotr Fronczak,,
- Physics of Complex Systems Divison
Journal seriesPhysical Review E, ISSN 1539-3755
Issue year2016
Publication size in sheets0.5
Keywords in EnglishStatistical mechanics, Biased random walk; Equilibrium statistical mechanics; First order; Grand canonical ensemble; Mixed order; Second order transition; Spin models; Triple points, Phase diagrams
ASJC Classification3104 Condensed Matter Physics; 2613 Statistics and Probability; 3109 Statistical and Nonlinear Physics
URL https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978245680&partnerID=40&md5=b9e038dde526057c8efe3a7ab837ef3f
Languageen angielski
Score (nominal)35
Score sourcejournalList
ScoreMinisterial score = 35.0, 10-06-2020, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 10-06-2020, ArticleFromJournal
Publication indicators Scopus Citations = 4; WoS Citations = 3; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.896; WoS Impact Factor: 2018 = 2.353 (2) - 2018=2.38 (5)
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