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Physics of Long-Range Interacting Systems
PART I: STATIC AND EQUILIBRIUM PROPERTIES PART II: DYNAMICAL PROPERTIES PART III: APPLICATIONS
Dynamics and thermodynamics of systems with long-range interactions
Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction.- Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction.- Statistical Mechanics.-…
Stability criteria of the Vlasov equation and quasi-stationary states of the HMF model
A Twist Opening Model for DNA
An extended DNA model is proposed that allows a rather good representation of the double helix geometry and of its structural features by the introduction of angular variables related to the twist angle and analytically small amplitude approximate solutions of the model are derived.
Exact solutions in the FPU oscillator chain
Inequivalence of ensembles in a system with long-range interactions.
The global phase diagram of the infinite-range Blume-Emery-Griffiths model is studied both in the canonical and in the microcanonical ensembles to find that below the tricritical point, when the canonical transition is first order, the phase diagrams of the two ensemble disagree.
Damage spreading and Lyapunov exponents in cellular automata
Approach to equilibrium in a chain of nonlinear oscillators
2014 We consider the approach to thermodynamical equilibrium in a chain of coupled nonlinear oscillators when energy is initially fed only to the longest wavelength modes. Consideration of the…
Kuramoto model of synchronization: equilibrium and nonequilibrium aspects
The phenomenon of spontaneous synchronization, particularly within the framework of the Kuramoto model, has been a subject of intense research over the years. The model comprises oscillators with…
Exploring the thermodynamic limit of Hamiltonian models: convergence to the Vlasov equation.
In specific regions of parameters space, Vlasov numerical solutions are shown to be affected by small scale fluctuations, a finding that points to the need for novel schemes able to account for particle correlations.