Evaluating the Adiabatic Invariants in Magnetized Plasmas Using a Classical Ehrenfest Theorem

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dc.contributor.authorTamburrini, Abiam
dc.contributor.authorDavis, Sergio
dc.contributor.authorMoya, Pablo S.
dc.date.accessioned2023-12-13T18:33:49Z
dc.date.available2023-12-13T18:33:49Z
dc.date.issued2023-11
dc.descriptionIndexación: Scopus.es
dc.description.abstractIn this article, we address the reliance on probability density functions to obtain macroscopic properties in systems with multiple degrees of freedom as plasmas, and the limitations of expensive techniques for solving Equations such as Vlasov’s. We introduce the Ehrenfest procedure as an alternative tool that promises to address these challenges more efficiently. Based on the conjugate variable theorem and the well-known fluctuation-dissipation theorem, this procedure offers a less expensive way of deriving time evolution Equations for macroscopic properties in systems far from equilibrium. We investigate the application of the Ehrenfest procedure for the study of adiabatic invariants in magnetized plasmas. We consider charged particles trapped in a dipole magnetic field and apply the procedure to the study of adiabatic invariants in magnetized plasmas and derive Equations for the magnetic moment, longitudinal invariant, and magnetic flux. We validate our theoretical predictions using a test particle simulation, showing good agreement between theory and numerical results for these observables. Although we observed small differences due to time scales and simulation limitations, our research supports the utility of the Ehrenfest procedure for understanding and modeling the behavior of particles in magnetized plasmas. We conclude that this procedure provides a powerful tool for the study of dynamical systems and statistical mechanics out of equilibrium, and opens perspectives for applications in other systems with probabilistic continuity.es
dc.description.urihttps://www-scopus-com.recursosbiblioteca.unab.cl/record/display.uri?eid=2-s2.0-85178093970&origin=resultslist&sort=plf-f&src=s&sid=05d15d9c7ba455873b58184ce52f0923&sot=aff&sdt=aff&sl=61&s=AF-ID%28%22Universidad+Andr%c3%a9s+Bello%22+60002636%29+AND+SUBJAREA%28ENGI%29&relpos=7&citeCnt=0&searchTerm=
dc.identifier.citationEntropy, Volume 25, Issue 11 November 2023, Article number 1559es
dc.identifier.doi10.3390/e25111559
dc.identifier.issn10994300
dc.identifier.urihttps://repositorio.unab.cl/xmlui/handle/ria/54530
dc.language.isoenes
dc.publisherMDPIes
dc.rights.licenseCC BY 4.0 DEED Attribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectEhrenfest theoremes
dc.subjectMagnetized plasmases
dc.subjectNon-equilibrium statistical mechanicses
dc.titleEvaluating the Adiabatic Invariants in Magnetized Plasmas Using a Classical Ehrenfest Theoremes
dc.typeArtículoes
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