Physical Meaning and Experimental Check of a Variational Principle for Macro-to-Micro Transition
| dc.creator | Arminjon, Mayeul | |
| dc.creator | Imbault, Didier | |
| dc.date | 2006-11-23 | |
| dc.date.accessioned | 2026-07-07T07:33:52Z | |
| dc.date.available | 2026-07-07T07:33:52Z | |
| dc.description | It is argued that, for strongly non-linear behaviors, a fully deterministic position can hardly be maintained in the micro-macro transitions. This is due to the lack of information on the relevant boundary conditions, and to the tendency of non-linear dynamical systems to have a "horizon of predictibility". In the variational micro-macro model proposed by us, the data of the microscopic behavior plus the overall stimulus has to be supplemented by a "heterogeneity parameter". In this model, the macro-to-micro transition depends on the validity of a "principle of minimal heterogeneity" (PMH). It is shown that the PMH has a close relation to the maximum entropy principle. | |
| dc.identifier | https://arxiv.org/abs/physics/0611226 | |
| dc.identifier | http://arxiv.org/abs/physics/0611226 | |
| dc.identifier | Micro- and Macrostructural Aspects of Thermoplasticity, Allemagne (1999) 197-206 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119614 | |
| dc.subject | Classical Physics | |
| dc.title | Physical Meaning and Experimental Check of a Variational Principle for Macro-to-Micro Transition | |
| dc.type | text |