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

Agata Fronczak , Piotr Fronczak

Abstract

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 ZFUZ
Agata Fronczak,,
- Physics of Complex Systems Divison
, Piotr Fronczak ZFUZ
Piotr Fronczak,,
- Physics of Complex Systems Divison
Journal seriesPhysical Review E, ISSN 1539-3755
Issue year2016
Vol94
No1
Pages012103-012103
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
DOIDOI:10.1103/PhysRevE.94.012103
URL https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978245680&partnerID=40&md5=b9e038dde526057c8efe3a7ab837ef3f
Languageen angielski
Score (nominal)35
ScoreMinisterial score = 35.0, 28-11-2017, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 28-11-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2014 = 2.288 (2) - 2014=2.269 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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