A Statistical Description For The Quasi-Stationary-States Of The Dipole-Type Hamiltonian Mean Field Model Based On A Family Of Vlasov Solutions

For non-equilibrium quasi-stationary-states (QSS), 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. Such one is suitable to describe the QSS involved in the d-HMF model, which occur while the system evolves towards equilibrium. Our results complement the notion of Tsallis formalism and represent input on a theoretical description of the systems behavior with long-range interactions out of equilibrium. (C) 2020 Elsevier B.V. All rights reserved.