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Entropy production, thermodynamic fluxes and transport coefficients of an interface between two electromagnetic fluids with spin

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  • Vanhaelen, Quentin

Abstract

The purpose of this wok is to obtain a complete description of the entropy production within the framework of non equilibrium thermodynamics for the case of an isotropic material interface between two one-component immiscible fluids when both of them are magnetizable and polarizable and external and internal angular momentum are included. All physical variables are allowed to be singular along the interface with the exception of the magnetic field and electric field. The set of conservation laws for the interface are derived and the explicit form of the entropy production is obtained. Taking into account spacial and time reversal symmetries, we establish the phenomenological relations between the fluxes and thermodynamic forces. We conclude by providing an example where constraints for the values of the transport coefficients are obtained as a consequence of conditions which must be fulfilled to guarantee that the matrix of transport coefficients remains positive definite.

Suggested Citation

  • Vanhaelen, Quentin, 2018. "Entropy production, thermodynamic fluxes and transport coefficients of an interface between two electromagnetic fluids with spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 949-968.
    • Handle: RePEc:eee:phsmap:v:506:y:2018:i:c:p:949-968
    DOI: 10.1016/j.physa.2018.05.016
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    References listed on IDEAS

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    1. Rubí, J.M. & Casas-Vázquez, J., 1982. "Boundary conditions for interfacial fluid systems with spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(1), pages 351-363.
    2. Zakaria, Kadry, 2003. "Nonlinear dynamics of magnetic fluids with a relative motion in the presence of an oblique magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(3), pages 221-248.
    3. Albano, A.M. & Bedeaux, D. & Vlieger, J., 1980. "On the description of interfacial electromagnetic properties using singular fields, charge density and currents at a dividing surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(1), pages 105-119.
    4. Kovac, J., 1977. "Non-equilibrium thermodynamics of interfacial systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 86(1), pages 1-24.
    5. Vanhaelen, Q. & Hennenberg, M. & Slavtchev, S. & Weyssow, B., 2010. "Contribution to the dynamics of a deformable interface between two immiscible electromagnetically controllable fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 5061-5076.
    6. Albano, A.M. & Bedeaux, D. & Vlieger, J., 1979. "On the description of interfacial properties using singular densities and currents at a dividing surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 293-304.
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    8. Kovac, Jeffrey, 1981. "Non-equilibrium thermodynamics of interfacial systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(2), pages 280-298.
    9. Albano, A.M. & Bedeaux, D., 1987. "Non-equilibrium electro-thermodynamics of polarizable multicomponent fluids with an interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 407-435.
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    Cited by:

    1. Solovyova, Anna Yu. & Kuznetsov, Andrey A. & Elfimova, Ekaterina A., 2020. "Interparticle correlations in the simple cubic lattice of ferroparticles: Theory and computer simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    2. Dimitrov, R. & Dimitrova, O.V. & Arda, L., 2022. "Order–disorder transition in a linear system of anti-parallel magnetic dipoles with long-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).

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