Sergio Curilef

Universidad Catolica del Norte, Chile

Title: Thermodynamics, Complexity and other entropic and information measures for the d-HMF Model

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Biography

Sergio Curilef is a full professor in the Physics Department, Universidad Católica del Norte (UCN), Antofagasta, Chile. He obtained his Ph.D. in Physics from the Brazilian Center for Research in Physics (CBPF)-RJ, Brazil, in July 1997. His main research areas are statistical physics and quantum mechanics of systems with long-range interactions, particles in the mag- netic field, and nonlinear diffusion. He has recently developed research on complex systems and applications to science and engineering. He is the principal investigator in several research projects, and he did a sabbatical year at the University of Pretoria, South Africa, in 2007. Dr. Curilef has also created under-graduate and postgraduate programs in physics at his university, and he is currently an academic counselor of the UCN Higher Council.

Abstract

In the present contribution, we investigate some entropic and information measures such as the complexity, disequilibrium, and entropy of the dipole-type Hamiltonian mean-field model (d-HMF model). Besides, for non-equilibrium quasi-stationary states (QSS), which occur while the system evolves towards equilibrium, we present a theoretical background based on a family of Vlasov equation solutions constructed by non-Gaussian distributions. Proposing a transformation, we connect the Vlasov stationary solutions to a non-standard theoretical perspective. Analytical solutions for measures in equilibrium are found, together with the analytical description of non-equilibrium, giving a complete theoretical helpful framework to understand the behavior of this model. Such one is suitable to describe the QSS involved in the d-HMF model. Our results complement the notion of Tsallis formalism and represent input on a theoretical description of the system's behavior with long-range interactions in equilibrium and out of equilibrium.