131 citations · 692 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
Nonconcave entropies in multifractals and the thermodynamic formalism
Hugo Touchette, Christian Beck
We discuss a subtlety involved in the calculation of multifractal spectra when these are expressed as Legendre-Fenchel transforms of functions analogous to free energy functions. W…
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…
Comment on "First-order phase transitions: equivalence between bimodalities and the Yang-Lee theorem"
Hugo Touchette
I discuss the validity of a result put forward recently by Chomaz and Gulminelli [Physica A 330 (2003) 451] concerning the equivalence of two definitions of first-order phase trans…