Mixed-order phase transition in a minimal, diffusion-based spin model
Agata Fronczak , Piotr Fronczak
AbstractIn 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.
|Journal series||Physical Review E, ISSN 1539-3755|
|Publication size in sheets||0.5|
|Keywords in English||Statistical mechanics, Biased random walk; Equilibrium statistical mechanics; First order; Grand canonical ensemble; Mixed order; Second order transition; Spin models; Triple points, Phase diagrams|
|ASJC Classification||; ;|
|Score|| = 35.0, 10-06-2020, ArticleFromJournal|
= 35.0, 10-06-2020, ArticleFromJournal
|Publication indicators||= 4; = 3; : 2016 = 0.896; : 2018 = 2.353 (2) - 2018=2.38 (5)|
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