The variational principle for micropolar continua interacting with thermal, electromagnetic and mechanical fields is formulated. The potential character of the electromagnetic fields (E, B) and the conservation of electric charge, mass and microinertia are postulated. The remaining equations and the boundary conditions are obtained from the variational principle. The expression for the entropy production is obtained too. We conclude that the proposed variational principle describes both the thermodinamically reversible and dissipative processes.
A formulation of thermodynamical theory of magnetically active, anisotropic materials admitting coexistence of the superconductivity and magnetic order is proposed. The theory is based on the Ginzburg-Landau approach extended to multi-component order parameters and the states of thermodynamic quasi-equilibrium far from the superconducting phase transition. The field equations are derived under assumption of the U(1) gauge invariance. The questions of exact anisotropic similarity transformations as well as approximate anisotropic scaling are discussed.
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