Generalized Gibbs ensembles for time dependent processes

Abstract

An information theory description of finite systems explicitly evolving in time is presented for classical as well as quantum mechanics. We impose a variational principle on the Shannon entropy at a given time while the constraints are set at a former time. The resulting density matrix deviates from the Boltzmann kernel and contains explicit time odd components which can be interpreted as collective flows. Applications include quantum brownian motion, linear response theory, out of equilibrium situations for which the relevant information is collected within different time scales before entropy saturation, and the dynamics of the expansion.

References in corpus (8)

• Chemical Freeze-out and the QCD Phase Transition Temperature
• Expansion of an interacting Fermi gas
• Thermodynamic versus statistical nonequivalence of ensembles for the mean-field Blume-Emery-Griffiths model
• Microscopic model approaches to fragmentation of nuclei and phase transitions in nuclear matter
• First order phase transitions: equivalence between bimodalities and the Yang-Lee theorem
• Statistical Mechanics in the Extended Gaussian Ensemble
• On the inequivalence of statistical ensembles
• Equilibrium under flow

Cited by in corpus (10)

• Isoscaling as a measure of Symmetry Energy in the Lattice Gas Model
• Isospin dependent thermodynamics of fragmentation
• Analog Simulation of Weyl Particles with Cold Atoms
• Dynamical and statistical bimodality in nuclear fragmentation
• Evaluation of the curvature-correction term from the equation of state of nuclear matter
• Tracking energy fluctuations from fragment partitions in the Lattice Gas model
• Extended Gibbs ensembles with flow
• Symmetry energy from fragment observables in the canonical thermodynamic model
• Common Approaches in Description of Ordinary Liquids and Hadronic Matter
• Expansion dynamics of Lennard-Jones systems