2003/12/16 by Fulvio Baldovin, Luis G. Moyano, A. P. Majtey +4 · 1 citation
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Aperiodic graph #Artificial intelligence #Boltzmann constant #Chaotic #Classical mechanics #Complex Systems and Time Series Analysis #Computer science #Condensed matter physics #Crossover #Dynamical systems theory #Fixed point #Hamiltonian system #Logistic map #Mathematical analysis #Mathematics #Metastability #Physics #Quantum mechanics #Quasicrystal #Spin crossover #Statistical Mechanics and Entropy #Statistical mechanics #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1016/j.physa.2004.04.009
published as Physica A {\bf 340}, 205 (2004) · Communication at next2003, Second Sardinian International Conference on News and Expectations in Thermostatistics, Villasimius (Cagliari) Italy, 21st-28th September 2003. Submitted to Physica A. Elsevier Latex, 17 pages, 8 figures
arxiv created 2003/12/16 · openalex publication_date 2004/04/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a comparative study of several dynamical systems of increasing complexity, namely, the logistic map with additive noise, one, two and many globally-coupled standard maps, and the Hamiltonian Mean Field model (i.e., the classical inertial infinitely-ranged ferromagnetically coupled XY spin model). We emphasize the appearance, in all of these systems, of metastable states and their ultimate crossover to the equilibrium state. We comment on the underlying mechanisms responsible for these phenomena (weak chaos) and compare common characteristics. We point out that this ubiquitous behavior appears to be associated to the features of the nonextensive generalization of the Boltzmann-Gibbs statistical mechanics.