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6 papers · 2 filters
Linearization effect in multifractal analysis: Insights from the Random Energy Model
Florian Angeletti, Marc Mézard, Eric Bertin +1
The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the stati…
Self-consistent inhomogeneous steady states in Hamiltonian mean field dynamics
Pierre de Buyl, David Mukamel, Stefano Ruffo
Long-lived quasistationary states, associated with stationary stable solutions of the Vlasov equation, are found in systems with long-range interactions. Studies of the relaxation…
Stability of inhomogeneous states in mean-field models with a local potential
Romain Bachelard, F. Staniscia, Thierry Dauxois +2
The Vlasov equation is well known to provide a good description of the dynamics of mean-field systems in the limit. This equation has an infinity of stationary state…
Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale
Raphael Chetrite, Shamik Gupta
In the context of Markov evolution, we present two original approaches to obtain Generalized Fluctuation-Dissipation Theorems (GFDT), by using the language of stochastic derivative…
Models with short and long-range interactions: phase diagram and reentrant phase
Thierry Dauxois, Pierre de Buyl, Leonardo Lori +1
We study the phase diagram of two different Hamiltonians with competiting local, nearest-neighbour, and mean-field couplings. The first example corresponds to the HMF Hamiltonian w…
Entropy-based characterizations of the observable-dependence of the fluctuation-dissipation temperature
Kirsten Martens, Eric Bertin, Michel Droz
The definition of a nonequilibrium temperature through generalized fluctuation-dissipation relations relies on the independence of the fluctuation-dissipation temperature from the…