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| HAL : hal-00293145, version 1 |
| arXiv : 0807.0558 |
| DOI : 10.1093/amrx/abn004 |
| Fiche détaillée |  Récupérer au format |
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| Applied Mathematics Research eXpress (2009) Vol. 2008 : article ID abn004 |
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| Sampling constraints in average: The example of Hugoniot curves |
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Gabriel Stoltz 1Jean-Bernard Maillet 2 |
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| (06/01/2009) |
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| We present a method for sampling microscopic configurations of a physical system distributed according to a canonical (Boltzmann) measure, with a constraint holding in average. Assuming that the constraint can be controlled by the volume and/or the temperature of the system, and considering an extended ensemble where the control parameter is a dynamical variable, conditional expectations of a nonlinear stochastic process are used to determine the right value of the control variable. A single trajectory discretization is proposed. As an application, we consider the computation of points along the Hugoniot curve, which are equilibrium states obtained after equilibration of a material heated and compressed by a shock wave. |
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| 1 : | Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS) |
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Ecole des Ponts ParisTech |
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| 2 : | Direction des applications militaires (CEA/DAM) |
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CEA |
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| Domaine | : | Physique/Matière Condensée/Mécanique statistique |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/0807.0558 |
| hal-00293145, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00293145 | |
| oai:hal.archives-ouvertes.fr:hal-00293145 | |
| Contributeur : Gabriel Stoltz | |
| Soumis le : Jeudi 3 Juillet 2008, 16:47:39 | |
| Dernière modification le : Lundi 27 Avril 2009, 18:15:29 | |
