Thermodynamic phase transitions for Pomeau-Manneville maps.

@article{Venegeroles2012ThermodynamicPT,
  title={Thermodynamic phase transitions for Pomeau-Manneville maps.},
  author={Roberto Venegeroles},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={86 2 Pt 1},
  pages={
          021114
        }
}
  • Roberto Venegeroles
  • Published 14 August 2012
  • Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We study phase transitions in the thermodynamic description of Pomeau-Manneville intermittent maps from the point of view of infinite ergodic theory, which deals with diverging measure dynamical systems. For such systems, we use a distributional limit theorem to provide both a powerful tool for calculating thermodynamic potentials as also an understanding of the dynamic characteristics at each instability phase. In particular, topological pressure and Rényi entropy are calculated exactly for… 
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