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Symmetries and Hamiltonian formalism for complex materials

Gianfranco Capriz·Paolo Maria Mariano
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Abstract

Preliminary results toward the analysis of the Hamiltonian structure of multifield theories describing complex materials are mustered: we involve the invariance under the action of a general Lie group of the balance of substructural interactions. Poisson brackets are also introduced in the material representation to account for general material substructures. A Hamilton-Jacobi equation suitable for multifield models is presented. Finally, a spatial version of all these topics is discussed without making use of the notion of paragon setting.

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Gianfranco Capriz, Paolo Maria Mariano. 2003-04-29. Symmetries and Hamiltonian formalism for complex materials. https://arxiv.org/abs/math-ph/0304046

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