• Corpus ID: 118559358

Effective statistical physics of Anosov systems

@article{Huntsman2010EffectiveSP,
  title={Effective statistical physics of Anosov systems},
  author={Steve Huntsman},
  journal={arXiv: Statistical Mechanics},
  year={2010}
}
  • Steve Huntsman
  • Published 11 September 2010
  • Mathematics, Physics
  • arXiv: Statistical Mechanics
We present evidence indicating that Anosov systems can be endowed with a unique physically reasonable effective temperature. Results for the two paradigmatic Anosov systems (i.e., the cat map and the geodesic flow on a surface of constant negative curvature) are used to justify a proposal for extending Ruelle's thermodynamical formalism into a comprehensive theory of statistical physics for nonequilibrium steady states satisfying the Gallavotti-Cohen chaotic hypothesis. 

References

SHOWING 1-10 OF 113 REFERENCES
Thermodynamics of the glassy state
TLDR
The approach connects the response of macroscopic observables to a field change with their temporal fluctuations, and with the fluctuation-dissipation relation, in a generalized non-equilibrium way.
On Some Aspects of the Theory of Anosov Systems
The theory of Anosov systems is a result of the generalization of certain properties, which hold on geodesic flows on manifolds of negative curvature. It turned out that these properties alone are
Electric fields on a surface of constant negative curvature
A one-parameter family of time reversible Anosov flows is studied; physically, it describes a particle moving on a surface of constant negative curvature under the action of an electric field
Statistical Mechanics: A Short Treatise
1. Classical Statistical Mechanics.- 2. Statistical Ensembles.- 3. Equipartition and Critique.- 4. Thermodynamic Limit and Stability.- 5. Phase Transitions.- 6. Coexistence of Phases.- 7. Exactly
Chaos in classical and quantum mechanics
Contents: Introduction.- The Mechanics of Lagrange.- The Mechanics of Hamilton and Jacobi.- Integrable Systems.- The Three-Body Problem: Moon-Earth-Sun.- Three Methods of Section.- Periodic Orbits.-
Thermodynamics of chaotic systems : an introduction
Introduction Part I. Essentials of Nonlinear Dynamics: 1. Nonlinear mappings 2. Probability in the theory of chaotic systems 3. Symbolic dynamics Part II. Essentials of Information Theory and
Handbook of Dynamical Systems
Volume 1A. Principal structures (B. Hasselblatt, A. Katok). Entropy, Isomorphism and Equivalence (J.-P. Thouvenot). Hyperbolic dynamics (B. Hasselblatt). Invariant measures for hyperbolic dynamical
Introduction to Ergodic Theory
Ergodic theory concerns with the study of the long-time behavior of a dynamical system. An interesting result known as Birkhoff’s ergodic theorem states that under certain conditions, the time
Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics
Deterministic Diffusion Deterministic Drift-Diffusion Deterministic Reaction-Diffusion Deterministic Diffusion and Random Perturbations From Normal to Anomalous Diffusion From Diffusive Maps to
Statistical Mechanics:
AbstractPROF. R. H. FOWLER'S monumental work on statistical mechanics has, in this the second edition, in his own modest words, been rearranged and brought more up to date. But the new volume is much
...
1
2
3
4
5
...