Lagrangian submanifolds generated by the Maximum Entropy principle

Entropy

关键词: symplectic geometry;    maximum entropy principle;    thermodynamics of mechanical systems;    Ising and Potts models;   

DOI  :  10.3390/e7010001

来源: mdpi

【 摘 要 】

We show that the Maximum Entropy principle (E.T. Jaynes, [8]) has a natural description in terms of Morse Families of a Lagrangian submanifold. This geometric approach becomes useful when dealing with the M.E.P. with nonlinear constraints. Examples are presented using the Ising and Potts models of a ferromagnetic material.

【 授权许可】

CC BY   
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.