Entropy minimization within the maximum entropy approach

4th International Workshop on Statistical Physics and Mathematics for Complex Systems

物理学;数学

Vakarin, E.V.^1 ; Badiali, J.P.^1

IRCP UMR 8247 CNRS, ENSCP Chimie ParisTech, 11 rue P. et M. Curie, Paris, Cedex 05

75231, France^1

关键词: Coupled dynamics;    Driving paths;    Entropy minimization;    External driving;    Functional forms;    Maximal information;    Maximum-entropy approaches;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/604/1/012017/pdf
DOI  :  10.1088/1742-6596/604/1/012017

来源: IOP

【 摘 要 】

A procedure of the minimization of the maximum entropy with respect to an external driving force μ, is proposed. In application to coupled dynamic-stochastic systems such an approach allows one to reduce the uncertainty in estimating the dynamic counterpart (a probe or a model) parameters. In its turn this permits to estimate an optimal driving path giving a maximal information on the probability distribution f(x|μ) of the stochastic counterpart with a given probe/model θ(μ|x). It is found that the functional form of the model should be similar to the observed/measured one θ(μ), while the minimum uncertainty is reached when the distribution becomes independent of the driving μ.