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dc.contributor.author | Isidro San Juan, José María![]() |
es_ES |
dc.contributor.author | Fernández de Córdoba, Pedro![]() |
es_ES |
dc.date.accessioned | 2018-06-14T04:33:32Z | |
dc.date.available | 2018-06-14T04:33:32Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 1099-4300 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/104018 | |
dc.description.abstract | [EN] We elaborate on existing notions of contact geometry and Poisson geometry as applied to the classical ideal gas. Specifically, we observe that it is possible to describe its dynamics using a 3-dimensional contact submanifold of the standard 5-dimensional contact manifold used in the literature. This reflects the fact that the internal energy of the ideal gas depends exclusively on its temperature. We also present a Poisson algebra of thermodynamic operators for a quantum-like description of the classical ideal gas. The central element of this Poisson algebra is proportional to Boltzmann¿s constant. A Hilbert space of states is identified and a system of wave equations governing the wavefunction is found. Expectation values for the operators representing pressure, volume and temperature are found to satisfy the classical equations of state. | es_ES |
dc.description.sponsorship | This research was supported by Grant No. ENE2015-71333-R (Spain). | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | MDPI AG | es_ES |
dc.relation.ispartof | Entropy | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | Ideal gas | es_ES |
dc.subject | Poisson geometry | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | On the Contact Geometry and the Poisson Geometry of the Ideal Gas | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.3390/e20040247 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//ENE2015-71333-R/ES/CONVECCION FORZADA EN CANALES TURBULENTOS/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Isidro San Juan, JM.; Fernández De Córdoba, P. (2018). On the Contact Geometry and the Poisson Geometry of the Ideal Gas. Entropy. 20:247-1-247-7. https://doi.org/10.3390/e20040247 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.3390/e20040247 | es_ES |
dc.description.upvformatpinicio | 247-1 | es_ES |
dc.description.upvformatpfin | 247-7 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 20 | es_ES |
dc.relation.pasarela | S\356540 | es_ES |
dc.contributor.funder | Ministerio de Economía, Industria y Competitividad | es_ES |