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Nonequilibrium and Irreversibility
Giovanni Gallavotti
The work concentrates on relations, which are general and model independent in chaotic system, between time averages of a few (typically {\it very few}) observables. Equilibrium th…
Random matrices and Lyapunov coefficients regularity
Giovanni Gallavotti
Analyticity and other properties of the largest or smallest Lyapunov exponent of a product of real matrices with a "cone property" are studied as functions of the matrices entries,…
Resonances within Chaos
Giovanni Gallavotti, Guido Gentile, Alessandro Giuliani
A chaotic system under periodic forcing can develop a periodically visited strange attractor. We discuss simple models in which the phenomenon, quite easy to see in numerical simul…
A fluctuation theorem in a random environment
F. Bonetto, G. Gallavotti, G. Gentile
A simple class of chaotic systems in a random environment is considered and the fluctuation theorem is extended under the assumption of reversibility.
Lyapunov spectra and nonequilibrium ensembles equivalence in 2D fluid mechanics
Giovanni Gallavotti, Lamberto Rondoni, Enrico Segre
We perform numerical experiments to study the Lyapunov spectra of dynamical systems associated with the Navier--Stokes (NS) equation in two spatial dimensions truncated over the Fo…
Fluctuations and entropy driven space-time intermittency in Navier-Stokes fluids
Giovanni Gallavotti
We analyze the physical meaning of fluctuations of the phase space contraction rate, that we also call entropy creation rate, and its observability in space-time intermittency phen…