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: DOAJ

【 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】

Unknown