Experimental observation of a generalized Gibbs ensemble

Measuring effective temperatures in a generalized Gibbs ensemble.

The local physical properties of an isolated quantum statistical system in the stationary state reached long after a quench are generically described by the Gibbs ensemble, which involves only its Hamiltonian and the temperature as a parameter. If the system is instead integrable, additional quantities conserved by the dynamics intervene in the description of the stationary state. The resulting...

Generalized Gibbs canonical ensemble: A possible physical scenario

After reviewing some fundamental results derived from the introduction of the generalized Gibbs canonical ensemble, ω (E) = exp [−ηΘ(E)] /Z (η), such as the called thermodynamic uncertainty relation 〈δβδE〉 = 1+ ( ∂S/∂E ) 〈 δE 〉 , it is described a physical scenario where such a generalized ensemble naturally appears as a consequence of a modification of the energetic interchange mechanism betwe...

Gibbs Ensemble Techniques

The Gibbs ensemble of a vortex filament

Certain investigations of turbulent 3-D fluids seem to indicate that the vorticity field of the fluid is strongly concentrated along thin structures, called vortex filaments. A. Chorin has developed a statistical-mechanics theory of vortex filaments to describe the statistics of turbulent flows, see [4]. In his investigations vortex filaments are modelled by trajectories of self-avoiding walks ...

Universal features of the excitation spectrum in a generalized Gibbs distribution ensemble

It is shown that excitation spectra of generalized Gibbs ensembles of one-dimensional integrable models with isotopic symmetry contain universal features insensitive to details of the distribution. Namely, the low energy limit of the subsystem of isotopic (for instance, spin) excitations is described by the effective action of a ferromagnet at thermodynamic equilibrium with a single temperature...