131 citations · 515 across the 7 of their papers we have counts for
7 papers
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…
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…
Asymptotics of superstatistics
Hugo Touchette, Christian Beck
Superstatistics are superpositions of different statistics relevant for driven nonequilibrium systems with spatiotemporal inhomogeneities of an intensive variable (e.g., the invers…
An Introduction to the Thermodynamic and Macrostate Levels of Nonequivalent Ensembles
H. Touchette, R. S. Ellis, B. Turkington
This short paper presents a nontechnical introduction to the problem of nonequivalent microcanonical and canonical ensembles. Both the thermodynamic and the macrostate levels of de…