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| HAL : hal-00429864, version 1 |
| arXiv : 0911.0915 |
| DOI : 10.1007/s10955-009-9875-1 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Statistical Physics 138, 4-5 (2010) 579-597 |
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| Dispersion and collapse in stochastic velocity fields on a cylinder |
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| Antonio Celani 1Sylvain Rubenthaler 2 |
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| (03/2010) |
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| The dynamics of fluid particles on cylindrical manifolds is investigated. The velocity field is obtained by generalizing the isotropic Kraichnan ensemble, and is therefore Gaussian and decorrelated in time. The degree of compressibility is such that when the radius of the cylinder tends to infinity the fluid particles separate in an explosive way. Nevertheless, when the radius is finite the transition probability of the two-particle separation converges to an invariant measure. This behavior is due to the large-scale compressibility generated by the compactification of one dimension of the space. |
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| 1 : | Génétique in Silico |
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CNRS : URA2171 – Institut Pasteur de Paris |
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| 2 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
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CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS) |
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| Domaine | : | Science non linéaire/Dynamique Chaotique Mathématiques/Physique mathématique Physique/Physique mathématique |
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| Turbulence – Lagrangian trajectories – Kraichnan ensemble – Cylindrical manifolds |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00429864, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00429864 | |
| oai:hal.archives-ouvertes.fr:hal-00429864 | |
| Contributeur : Dario Vincenzi | |
| Soumis le : Mercredi 4 Novembre 2009, 17:15:37 | |
| Dernière modification le : Mardi 7 Décembre 2010, 18:03:19 | |
