47 citations · 132 across the 5 of their papers we have counts for
5 papers
Ensemble equivalence for general many-body systems
Hugo Touchette
It has been proved for a class of mean-field and long-range systems that the concavity of the thermodynamic entropy determines whether the microcanonical and canonical ensembles ar…
Path integral approach to random motion with nonlinear friction
A. Baule, E. G. D. Cohen, H. Touchette
Using a path integral approach, we derive an analytical solution of a nonlinear and singular Langevin equation, which has been introduced previously by P.-G. de Gennes as a simple…
Negative magnetic susceptibility and nonequivalent ensembles for the mean-field spin model
A. Campa, S. Ruffo, H. Touchette
We calculate the thermodynamic entropy of the mean-field spin model in the microcanonical ensemble as a function of the energy and magnetization of the model. The entropy and…
Global optimization, the Gaussian ensemble, and universal ensemble equivalence
M. Costeniuc, R. S. Ellis, H. Touchette +1
Shortened abstract: Given a constrained minimization problem, under what conditions does there exist a related, unconstrained problem having the same minimum points? This basic que…
Metastability within the generalized canonical ensemble
H. Touchette, M. Costeniuc, R. S. Ellis +1
We discuss a property of our recently introduced generalized canonical ensemble (J. Stat. Phys. 119 (2005) 1283). We show that this ensemble can be used to transform metastable or…