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89 papers
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…
Navier-Stokes and equivalence conjectures
Giovanni Gallavotti
General considerations on the Equivalence conjectures and a review of few mathematical results.
Reversibility, Irreversibility, Friction and nonequilibrium ensembles in N-S equations
Giovanni Gallavotti
Viscosity, as a physical property of fluids, reflects an average effect over a chaotic microscopic motion described by Hamiltonian equations. It is proposed, as an example, that st…
Finite thermostats in classical and quantum nonequilibrium
Giovanni Gallavotti
Abstract: Models for studying systems in stationary states but out of equilibrium have often empirical nature and very often break the fundamental time reversal symmetry. Here a fo…
Viscosity, Reversibillity, Chaotic Hypothesis, Fluctuation Theorem and Lyapunov Pairing
Giovanni Gallavotti
Incompressible fluid equations are studied with UV cut-off and in periodic boundary conditions. Properties of the resulting ODEs holding uniformly in the cut-off are considered and…
A Theorem on Ellipses, an Integrable System and a Theorem of Boltzmann
Giovanni Gallavotti, Ian Jauslin
We study a mechanical system that was considered by Boltzmann in 1868 in the context of the derivation of the canonical and microcanonical ensembles. This system was introduced as…