Effective rates in dilute reaction-advection systems for the annihilation process A+A->0 (Articolo in rivista)

Type
Label
  • Effective rates in dilute reaction-advection systems for the annihilation process A+A->0 (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s10955-013-0823-8 (literal)
Alternative label
  • G. Krstulovic (1); M. Cencini (2); J. Bec (1) (2013)
    Effective rates in dilute reaction-advection systems for the annihilation process A+A->0
    in Journal of statistical physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • G. Krstulovic (1); M. Cencini (2); J. Bec (1) (literal)
Pagina inizio
  • 530 (literal)
Pagina fine
  • 550 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://link.springer.com/article/10.1007%2Fs10955-013-0823-8 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 153 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 21 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 3 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (1). Laboratoire Lagrange, UMR7293, UniversitĂ© de Nice Sophia-Antipolis, CNRS, Observatoire de la CĂ´te d'Azur, BP 4229, 06304, Nice Cedex 4, France (2). CNR, Istituto dei Sistemi Complessi, Via dei Taurini 19, Roma, Italy (literal)
Titolo
  • Effective rates in dilute reaction-advection systems for the annihilation process A+A->0 (literal)
Abstract
  • A dilute system of reacting particles transported by fluid flows is considered. The particles react as A+A?? with a given rate when they are within a finite radius of interaction. The system is described in terms of the joint n-point number spatial density that it is shown to obey a hierarchy of transport equations. An analytic solution is obtained in the dilute or, which is equivalent, the long-time limit by using a Lagrangian approach where statistical averages are performed along non-reacting trajectories. In this limit, it is shown that the moments of the number of particles have an exponential decay rather than the algebraic prediction of standard mean-field approaches. The effective reaction rate is then related to Lagrangian pair statistics by a large-deviation principle. A phenomenological model is introduced to study the qualitative behavior of the effective rate as a function of the interaction length, the degree of chaoticity of the dynamics and the compressibility of the carrier flow. Exact computations, obtained via a Feynman-Kac approach, in a smooth, compressible, random delta-correlated-in-time Gaussian velocity field support the proposed heuristic approach.dvent of digital computing that chaos started to attract the interest of the wider scientific community. (literal)
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