3 years ago

Time Evolution and Thermodynamics for the Nonequilibrium System in Phase-Space.

Chen-Huan Wu

The integrable system is constrained strictly by the conservation law during the time evolution, and the nearly integrable system or nonintegrable system is also constrained by the conserved parameters (like the constants of motion) with corresponding generalized Gibbs ensemble (GGE) which is indubitability a powerful tool in the prediction of thr relaxation dynamics. For stochastic evolution dynamic with considerable noise, the obviously quantum or thermal correlations which don't exhibit the thermal behavior, (like the density of kinks or transverse magnetization correlators), display a asymptotic nonthermal behavior, in fact, it's a asymptotic quasisteady state with a infinte temperature and therefore the required distance to the nonthermal steady state is in a infinite time average. We unambiguously investigate the relaxation of a nonequilibrium system in a canonical ensemble and the temporal behavior of the many-body quantum system and macroscopic system, as well as the corresponding linear coupling between harmonic oscillators, Matric-method is utilized in entropy ensemble to discuss the boundary and diagonalization, the approximation by perturbation theory is also obtained.

Publisher URL: http://arxiv.org/abs/1711.00547

DOI: arXiv:1711.00547v1

You might also like
Never Miss Important Research

Researcher is an app designed by academics, for academics. Create a personalised feed in two minutes.
Choose from over 15,000 academics journals covering ten research areas then let Researcher deliver you papers tailored to your interests each day.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.