The Maximum Caliber principle applied to continuous systems

19th Chilean Physics Symposium 2014

González, Diego^1 ; Davis, Sergio^1

Grupo de Nanomateriales, Departamento de Física, Facultad de Ciencias, Universidad de Chile, Chile^1

关键词: Continuous system;    Continuous-time;    Maximum calibers;    Partition functions;    Path integral;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/720/1/012006/pdf
DOI  :  10.1088/1742-6596/720/1/012006

来源: IOP

【 摘 要 】

We give a brief presentation of the maximization of path entropy (Maximum Caliber) formalism as an approach to inference over trajectories. We develop its continuoustime version involving path integrals and present an identity between expectations over the most unbiased probability distribution of trajectories. This relation between expectations can be used to solve for the Lagrange multipliers in a Maximum Caliber problem without the need for the dynamical partition function.