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9 papers · 2 filters
Nonlinear structures and thermodynamic instabilities in a one-dimensional lattice system
Nikos Theodorakopoulos, Michel Peyrard, Robert S. MacKay
The equilibrium states of the discrete Peyrard-Bishop Hamiltonian with one end fixed are computed exactly from the two-dimensional nonlinear Morse map. These exact nonlinear struct…
Links between nonlinear dynamics and statistical mechanics in a simple one-dimensional model
Hicham Qasmi, Julien Barre', Thierry Dauxois
We consider the links between nonlinear dynamics and thermodynamics in the framework of a simple nonlinear model for DNA. Two analyses of the phase transition, either with the tran…
Subcritical statistics in rupture of fibrous materials: Experiments and model
Stephane Santucci, Loic Vanel, Sergio Ciliberto
We study experimentally the slow growth of a single crack in a fibrous material and observe stepwise growth dynamics. We model the material as a lattice where the crack is pinned b…
Prediction of anomalous diffusion and algebraic relaxations for long-range interacting systems, using classical statistical mechanics
Freddy Bouchet, Thierry Dauxois
We explain the ubiquity and extremely slow evolution of non gaussian out-of-equilibrium distributions for the Hamiltonian Mean-Field model, by means of traditional kinetic theory.…
Nonequilibrium fluctuations in a resistor
Nicolas Garnier, Ciliberto Sergio
In small systems where relevant energies are comparable to thermal agitation, fluctuations are of the order of average values. In systems in thermodynamical equilibrium, the varian…
Large deviation techniques applied to systems with long-range interactions
Julien Barre', Freddy Bouchet, Thierry Dauxois +1
We discuss a method to solve models with long-range interactions in the microcanonical and canonical ensemble. The method closely follows the one introduced by Ellis, Physica D 133…