1999/11/19 by Vito Latora, V. Latora, A. Rapisarda +3 · 2 citations
Mathematics · Physics and Astronomy · #Anomalous diffusion #Chaotic #Classical mechanics #Computer science #Control theory (sociology) #Coupled map lattice #Critical point (mathematics) #Degrees of freedom (physics and chemistry) #Hamiltonian (control theory) #Hamiltonian system #Mathematical analysis #Mathematics #Mean field theory #Phase transition #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #Synchronization of chaos #Theoretical and Computational Physics #chao-dyn #cond-mat.stat-mech #nlin.CD
paper · pdf · doi:10.1016/s0378-4371(99)00621-4
published as Physica A 280 (2000) 81 · 7 pages, Latex, 6 figures included, Contributed paper to the Int. Conf. on "Statistical Mechanics and Strongly Correlated System", 2nd Giovanni Paladin Memorial, Rome 27-29 September 1999, submitted to Physica A
arxiv created 1999/11/19 · openalex publication_date 2000/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss recent results obtained for the Hamiltonian Mean Field model. The model describes a system of N fully-coupled particles in one dimension and shows a second-order phase transition from a clustered phase to a homogeneous one when the energy is increased. Strong chaos is found in correspondence to the critical point on top of a weak chaotic regime which characterizes the motion at low energies. For a small region around the critical point, we find anomalous (enhanced) diffusion and Lévy walks in a transient temporal regime before the system relaxes to equilibrium.