Novel Dynamics and Thermodynamics in systems with long range interactions

Abstract

Systems with long range interactions display some anomalies when its dynamics and thermodynamics are studied below certain conditions. Among these anomalies are the quasi- stationary states, which are exacerbated because of special initial conditions that are used here. We present in this letter a new Hamiltonian whose potential is inspired in the two-dipole interaction. An analytical solution is obtained for the equilibrium in the canonical ensemble that is coincident with the one obtained from computational simulations. However, results from this model presents a kind of nonequivalence of ensembles in long-living states before arriving to equilibrium. Thus, a complete characterization is made for the nonequilibrium through molecular dynamics. In which, novel quasi-stationary states are observed due to the long range interactions.

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• Dispersion chain of quantum mechanics equations
• Computational Statistical Mechanics of a confined, three-dimensional Coulomb gas
• Multiple metastable states in an off-lattice Potts model
• A Simple Model for Long-Range Interacting Pendula
• Dynamics and Thermodynamics of the mean field d-HMF model out-of-equilibrium
• A solvable problem in statistical mechanics: the dipole-type Hamiltonian mean field model