A statistical description for the Quasi-Stationary-States of the dipole-type Hamiltonian Mean Field Model based on a family of Vlasov solutions

Boris Atenas and Sergio Curilef

Physica A: Statistical Mechanics and its Applications, 2021, vol. 568, issue C

Abstract: 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.

Keywords: Quasi-stationary-states; Vlasov equation; Tsallis formalism (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:568:y:2021:i:c:s0378437120310207

DOI: 10.1016/j.physa.2020.125722

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