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Thermodynamics of continuous media with electromagnetic fields

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Abstract

The thermodynamics of an electrically charged, multicomponent continuous medium with electromagnetic fields is analysed in the non-relativistic limit. Applying locally the first and second law of thermodynamics and Maxwell’s equations for a linear theory of electromagnetism, three equations characterising the continuous medium are derived: a thermostatic equilibrium equation, a reversible and an irreversible thermodynamic evolution equation. For a local thermodynamic equilibrium, explicit expressions for the temperature and the chemical potentials in terms of the electromagnetic fields are obtained. The linear phenomenological relations describe novel effects of non-uniform electromagnetic fields on the transport equations and account also for magnetoresistance and optical tweezers.

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Authors and Affiliations

  1. Institute of Condensed Matter Physics, Station 3, École Polytechnique Fédérale de Lausanne – EPFL, 1015, Lausanne, Switzerland

    S.D. Brechet, F.A. Reuse & J.-P. Ansermet

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  1. S.D. Brechet
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  2. F.A. Reuse
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  3. J.-P. Ansermet
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Correspondence to S.D. Brechet, F.A. Reuse or J.-P. Ansermet.

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Brechet, S., Reuse, F. & Ansermet, JP. Thermodynamics of continuous media with electromagnetic fields. Eur. Phys. J. B 85, 412 (2012). https://doi.org/10.1140/epjb/e2012-30719-4

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  • DOI: https://doi.org/10.1140/epjb/e2012-30719-4

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