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Updated: Jul 16, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Ensemble dependence of the critical behavior of a system with long-range interaction and quenched randomness
Nir Schreiber1, Reuven Cohen1, Simi Haber1
1Department of Mathematics, Bar Ilan University, Ramat Gan, Israel 5290002.
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.
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