Thermo--hydrodynamics As a Field Theory

Details Thermo--hydrodynamics As a Field Theory Thermo--hydrodynamics As a Field Theory

2011-12-26

arxiv.org/abs/1112.5842v1

Nonequilibrium Theory and Extremum Principles, editors S. Sieniutycz and P. Salamon, Advances of Thermodynamics Vol. 3, Taylor

Physics

Mathematical Physics

35 pages

Scientific paper

The field theoretical description of thermo-hydrodynamics is given. It is based on the duality between the physical space--time and the "material space-time" which we construct here. The material space appearing in a natural way in the canonical formulation of the hydrodynamics is completed with a material time playing role of the field potential for temperature. Both Lagrangian and Hamiltonian formulations, the canonical structure, Poisson bracket, N\"other theorem and conservation laws are discussed.

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