4 Citations
Approach to equilibrium via Tsallis distributions in a realistic ionic-crystal model and in the FPU model
- PhysicsThe European Physical Journal Special Topics
- 2020
We report results of dynamical simulations exhibiting the occurrence of Tsallis distributions, and their eventual approach to Maxwell–Boltzmann distributions, for the normal-mode energies of FPU-like…
A solvable problem in statistical mechanics: The dipole-type Hamiltonian mean field model
- PhysicsAnnals of Physics
- 2019
References
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- Physics
- 1994
The high- and low-energy limits of a chain of coupled rotators are integrable and correspond respectively to a set of free rotators and to a chain of harmonic oscillators. For intermediate values of…
Statistical mechanics of point particles with a gravitational interaction
- Physics
- 2000
We study the dynamics of N point particles with a gravitational interaction. The divergence of the microcanonical partition function prevents this system from reaching equilibrium. Assuming a random…
Gravity in one dimension - Persistence of correlation
- Physics
- 1990
Central questions are concerning the thermalization time-scale in a one-dimensional, self-gravitating system are addressed in the present consideration of the persistent correlation between the…
Chaotic behavior in nonlinear Hamiltonian systems and equilibrium statistical mechanics
- Physics
- 1987
The relation between chaotic dynamics of nonlinear Hamiltonian systems and equilibrium statistical mechanics in its canonical ensemble formulation has been investigated for two different nonlinear…
The relaxation time of a one-dimensional self-gravitating system
- PhysicsAstrophysics and Space Science
- 1982
A computer experiment on a one-dimensional self-gravitating system is described. We attempt to observe the dynamic time required for this system to thermalize by comparing the position and velocity…
Breakdown of Exponential Sensitivity to Initial Conditions: Role of the Range of Interactions
- Physics
- 1998
Within a microcanonical scenario we numerically study an N-sized linear chain classical inertial XY model including ferromagnetic couplings which decrease with distance as r (a $ 0). We show that for…