Fingerprints of nonequilibrium stationary distributions in dispersion relations
Abstract Distributions different from those predicted by equilibrium statistical mechanics are commonplace in a number of physical situations, such as plasmas and self-gravitating systems. The best strategy for probing these distributions and unavailing their origins consists in combining theoretica...
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2021
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oai:doaj.org-article:66085c9f9cc14bccbec2fbca730d81442021-12-02T17:34:31ZFingerprints of nonequilibrium stationary distributions in dispersion relations10.1038/s41598-021-91455-12045-2322https://doaj.org/article/66085c9f9cc14bccbec2fbca730d81442021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-91455-1https://doaj.org/toc/2045-2322Abstract Distributions different from those predicted by equilibrium statistical mechanics are commonplace in a number of physical situations, such as plasmas and self-gravitating systems. The best strategy for probing these distributions and unavailing their origins consists in combining theoretical knowledge with experiments, involving both direct and indirect measurements, as those associated with dispersion relations. This paper addresses, in a quite general context, the signature of nonequilibrium distributions in dispersion relations. We consider the very general scenario of distributions corresponding to a superposition of equilibrium distributions, that are well-suited for systems exhibiting only local equilibrium, and discuss the general context of systems obeying the combination of the Schrödinger and Poisson equations, while allowing the Planck’s constant to smoothly go to zero, yielding the classical kinetic regime. Examples of media where this approach is applicable are plasmas, gravitational systems, and optical molasses. We analyse in more depth the case of classical dispersion relations for a pair plasma. We also discuss a possible experimental setup, based on spectroscopic methods, to directly observe these classes of distributions.Kamel OurabahNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021) |
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Medicine R Science Q Kamel Ourabah Fingerprints of nonequilibrium stationary distributions in dispersion relations |
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Abstract Distributions different from those predicted by equilibrium statistical mechanics are commonplace in a number of physical situations, such as plasmas and self-gravitating systems. The best strategy for probing these distributions and unavailing their origins consists in combining theoretical knowledge with experiments, involving both direct and indirect measurements, as those associated with dispersion relations. This paper addresses, in a quite general context, the signature of nonequilibrium distributions in dispersion relations. We consider the very general scenario of distributions corresponding to a superposition of equilibrium distributions, that are well-suited for systems exhibiting only local equilibrium, and discuss the general context of systems obeying the combination of the Schrödinger and Poisson equations, while allowing the Planck’s constant to smoothly go to zero, yielding the classical kinetic regime. Examples of media where this approach is applicable are plasmas, gravitational systems, and optical molasses. We analyse in more depth the case of classical dispersion relations for a pair plasma. We also discuss a possible experimental setup, based on spectroscopic methods, to directly observe these classes of distributions. |
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article |
author |
Kamel Ourabah |
author_facet |
Kamel Ourabah |
author_sort |
Kamel Ourabah |
title |
Fingerprints of nonequilibrium stationary distributions in dispersion relations |
title_short |
Fingerprints of nonequilibrium stationary distributions in dispersion relations |
title_full |
Fingerprints of nonequilibrium stationary distributions in dispersion relations |
title_fullStr |
Fingerprints of nonequilibrium stationary distributions in dispersion relations |
title_full_unstemmed |
Fingerprints of nonequilibrium stationary distributions in dispersion relations |
title_sort |
fingerprints of nonequilibrium stationary distributions in dispersion relations |
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Nature Portfolio |
publishDate |
2021 |
url |
https://doaj.org/article/66085c9f9cc14bccbec2fbca730d8144 |
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AT kamelourabah fingerprintsofnonequilibriumstationarydistributionsindispersionrelations |
_version_ |
1718379944643395584 |