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

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  • Atenas, Boris
  • Curilef, Sergio

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.

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  • Atenas, Boris & Curilef, Sergio, 2021. "A statistical description for the Quasi-Stationary-States of the dipole-type Hamiltonian Mean Field Model based on a family of Vlasov solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
    • Handle: RePEc:eee:phsmap:v:568:y:2021:i:c:s0378437120310207
    DOI: 10.1016/j.physa.2020.125722
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    References listed on IDEAS

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    2. Davis, Sergio, 2022. "A classification of nonequilibrium steady states based on temperature correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

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