112 citations · 466 across the 9 of their papers we have counts for
9 papers
Analysis of phase transitions in the mean-field Blume-Emery-Griffiths model
Richard S. Ellis, Peter T. Otto, Hugo Touchette
In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a…
Generalized canonical ensembles and ensemble equivalence
M. Costeniuc, R. S. Ellis, H. Touchette +1
This paper is a companion article to our previous paper (J. Stat. Phys. 119, 1283 (2005), cond-mat/0408681), which introduced a generalized canonical ensemble obtained by multiplyi…
Quantifying Substructure Using Galaxy-Galaxy Lensing in Distant Clusters
Priyamvada Natarajan, Jean-Paul Kneib, Ian Smail +1
We present high-resolution mass reconstructions for five massive cluster-lenses spanning a redshift range from z = 0.18 - 0.57 utilizing archival Hubble Space Telescope data and ap…
Complete Analysis of Phase Transitions and Ensemble Equivalence for the Curie-Weiss-Potts Model
Marius Costeniuc, Richard S. Ellis, Hugo Touchette
Using the theory of large deviations, we analyze the phase transition structure of the Curie-Weiss-Potts spin model, which is a mean-field approximation to the Potts model. This an…
Analysis of phase transitions in the mean-field Blume-Emery-Griffiths model
R. S. Ellis, P. Otto, H. Touchette
In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a…
The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble
M. Costeniuc, R. S. Ellis, H. Touchette +1
Shortened abstract: Microcanonical equilibrium macrostates are characterized as the solutions of a constrained minimization problem, while canonical equilibrium macrostates are cha…