Equivalence of nonequilibrium ensembles in turbulence models
نویسندگان
چکیده
منابع مشابه
Equivalence of ensembles in creation-annihilation nonequilibrium models.
We consider a class of stochastic models on a lattice in which particles are created and annihilated with given rates. The class include very distinct models such as the contact process and the stochastic Ising model. We show how to set up stochastic models with the dynamics that conserve the number of particles that are equivalent, in the thermodynamic limit, to the creation-annihilation model...
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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 Fourier basis. Recently new equations, called GNS equations, have been introduced and conjectured to be equivalent to the NS equations at large Reynolds numbers. The Lyapunov spectra of the NS and of the corresponding GN...
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Generalizations of the microcanonical and canonical ensembles for paths of Markov processes have been proposed recently to describe the statistical properties of nonequilibrium systems driven in steady states. Here, we propose a theory of these ensembles that unifies and generalizes earlier results and show how it is fundamentally related to the large deviation properties of nonequilibrium syst...
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The stationary states of driven systems of particles are considered from the point of view of the invariant probability distributions in phase space which characterize them. The main features of various representations of such distributions are reviewed, and a brief derivation of the one based on orbital measures is given. We mention the limits of the mathematical derivations, and discuss the e...
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The ergodic hypothesis outgrew from the ancient conception of motion as periodic or quasi periodic. It did cause a revision of our views of motion, particularly through Boltzmann and Poincaré: we discuss how Boltmann’s conception of motion is still very modern and how it can provide ideas and methods to study the problem of nonequilibrium in mechanics and in fluids. This leads to the chaotic hy...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2018
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.98.012202