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dc.contributor.author
Caceres Garcia Faure, Manuel Osvaldo
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dc.date.available
2021-02-25T18:13:04Z
dc.date.issued
2020-10
dc.identifier.citation
Caceres Garcia Faure, Manuel Osvaldo; Stochastic PDEs, random fields and exact mean-values; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 53; 40; 10-2020; 1-22
dc.identifier.issn
1751-8113
dc.identifier.uri
http://hdl.handle.net/11336/126657
dc.description.abstract
Introducing projector-operator technique and algebra of Terwiel's cumulants we study stochastic linear partial differential equations with global and local disorder. We present the evolution equation for the mean-value of the field as a series in terms of Terwiel's cumulant operators. Then, we prove that if we use binary disorder with time exponential-correlated structure, as source of the stochastic perturbation, this series cuts leading to a treatable evolution equation. We apply this approach to find the exact mean-value solution of electromagnetic waves with stochastic absorption of energy in conducting media. This model shows the occurrence of novel time-scale separation phenomena. Local disorder in telegrapher's equation is also presented. Thus we show that strong disorder leads to anomalous behavior at short and long time regimes. In addition, other physical systems with global disorder are worked out to find exact mean-value solutions: finite-velocity diffusion in the presence of a deterministic force (Smoluchoswki-like process generalizing, in this way, Feynman-Kac's formula for its numerical solution); Lorentz' force on a fluctuating charge model (we calculate the diffusion coefficient transverse to the applied magnetic field); and a generalized non-Maxwellian velocity distribution (Ornstein-Uhlenbeck like process showing a noise-induced transition in the stationary distribution).
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
IOP Publishing
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dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CATTANEO-FICK
dc.subject
DISORDER
dc.subject
FEYNMAN-KAC
dc.subject
FINITE-VELOCITY DIFFUSION
dc.subject
LORENTZ FORCE
dc.subject
RANDOM MEDIA
dc.subject
SMOLUCHOSWKI
dc.subject.classification
Física de Partículas y Campos
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Stochastic PDEs, random fields and exact mean-values
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-02-24T12:04:19Z
dc.journal.volume
53
dc.journal.number
40
dc.journal.pagination
1-22
dc.journal.pais
Reino Unido
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dc.journal.ciudad
Londres
dc.description.fil
Fil: Caceres Garcia Faure, Manuel Osvaldo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Universidad Nacional de Cuyo; Argentina
dc.journal.title
Journal of Physics A: Mathematical and Theoretical
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1751-8121/aba655
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1751-8121/aba655
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