Ensemble dependence of the critical behavior of a system with long-range interaction and quenched randomness

Nir Schreiber, Reuven Cohen, Simi Haber

Research output: Contribution to journalArticlepeer-review

Abstract

We propose a hybrid model governed by the Blume-Emery-Griffiths (BEG) Hamiltonian with a mean-field-like interaction, where the spins are randomly quenched such that some of them are "pure"Ising and the others admit the BEG set of states. It is found, by varying the concentration of the Ising spins, that the model displays different phase portraits in concentration-temperature parameter space, within the canonical and the microcanonical ensembles. Phenomenological indications that these portraits are rich and rather unusual are provided.

Original languageEnglish
Article number024124
JournalPhysical Review E
Volume108
Issue number2
DOIs
StatePublished - Aug 2023

Bibliographical note

Publisher Copyright:
© 2023 American Physical Society.

Funding

N.S. acknowledges support from the Israel Science Foundation (ISF) (IL), under Grant No. 977/17. R.C. and S.H. acknowledge support of Bar-Ilan Data Science Institute (DSI) and Israel Council for Higher Education (VATAT). This work was done while S.H. was visiting the Mathematics Department of Rutgers University-New Brunswick. We thank Prof. Gideon Amir for fruitful discussions.

FundersFunder number
Bar-Ilan data science institute
VATAT
Israel Science Foundation977/17
Council for Higher Education
Defence Science Institute

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