منابع مشابه
Glassy dynamics in the HMF model
We discuss the glassy dynamics recently found in the meta-equilibrium quasi-stationary states (QSS) of the HMF model. The relevance of the initial conditions and the connection with Tsallis nonextensive thermostatistics is also addressed. c © 2004 Elsevier B.V. All rights reserved. PACS: 05.50.+q; 05.70.Fh; 64.60.Fr
متن کاملMetastability and anomalous behavior in the HMF Model: connections to nonextensive thermodynamics and glassy dynamics
We review some of the most recent results on the dynamics of the Hamiltonian Mean Field (HMF) model, a systems of N planar spins with ferromagnetic infiniterange interactions. We show, in particular, how some of the dynamical anomalies of the model can be interpreted and characterized in terms of the weak-ergodicity breaking proposed in frameworks of glassy systems. We also discuss the connecti...
متن کاملGlassy dynamics and nonextensive effects in the HMF model : the importance of initial conditions
In this work we discuss glassy dynamics and nonextensive thermodynamics in the context of the so called Hamiltonian Mean Field (HMF) model, a system of inertial spins with long-range interaction. This model and its generalizations has been intensively investigated in the last years for its anomalous dynamical behavior.1)–13) With respect to systems with short-range interactions, the dynamics an...
متن کاملApparent fractal dimensions in the HMF model
We show that recent observations of fractal dimensions in the μ-space of N -body Hamiltonian systems with long-range interactions are due to finite N and finite resolution effects. We provide strong numerical evidence that, in the continuum (Vlasov) limit, a set which initially is not a fractal (e.g. a line in 2D) remains such for all finite times. We perform this analysis for the Hamiltonian M...
متن کاملDynamics and thermodynamics of a simple model similar to self-gravitating systems: the HMF model
We discuss the dynamics and thermodynamics of the Hamiltonian Mean Field model (HMF) which is a prototypical system with long-range interactions. The HMF model can be seen as the one Fourier component of a one-dimensional self-gravitating system. Interestingly, it exhibits many features of real self-gravitating systems (violent relaxation, persistence of metaequilibrium states, slow collisional...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2004
ISSN: 0378-4371
DOI: 10.1016/j.physa.2004.04.006