Physical Meaning and Experimental Check of a Variational Principle for Macro-to-Micro Transition
Classical Physics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.physics/0611226,
title = {Physical Meaning and Experimental Check of a Variational Principle for Macro-to-Micro Transition},
author = {Mayeul Arminjon and Didier Imbault},
journal= {arXiv preprint arXiv:physics/0611226},
year = {2007}
}