Lagrangian submanifolds generated by the maximum entropy principle (Q925717)
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scientific article; zbMATH DE number 5278264
| Language | Label | Description | Also known as |
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| English | Lagrangian submanifolds generated by the maximum entropy principle |
scientific article; zbMATH DE number 5278264 |
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Lagrangian submanifolds generated by the maximum entropy principle (English)
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22 May 2008
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Summary: We show that the Maximum Entropy Principle (see \textit{E. T. Jaynes} [Phys. Rev., II. Ser. 106, 620--630; 108, 171--190 (1957; Zbl 0084.43701)]) 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.
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symplectic geometry
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maximum entropy principle
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thermodynamics of mechanical systems
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Ising and Potts models.
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