dorsal/arxiv
View SchemaElectrodynamic forces in elastic matter
| Authors | S. Antoci, L. Mihich |
|---|---|
| Categories | |
| ArXiv ID | physics/9912010 |
| URL | https://arxiv.org/abs/physics/9912010 |
| Journal | Nuovo Cim. B115 (2000) 77 |
Abstract
A macroscopic theory for the dynamics of elastic, isotropic matter in presence of electromagnetic fields is proposed here. We avail of Gordon's general relativistic derivation of Abraham's electromagnetic energy tensor as starting point. The necessary description of the elastic and of the inertial behaviour of matter is provided through a four dimensional generalisation of Hooke's law, made possible by the introduction of a four dimensional ``displacement'' vector. As intimated by Nordstroem, the physical origin of electrostriction and of magnetostriction is attributed to the change in the constitutive equation of electromagnetism caused by the deformation of matter. The part of the electromagnetic Lagrangian that depends on that deformation is given explicitly for the case of an isotropic medium and the resulting expression of the electrostrictive force is derived, thus showing how more realistic equations of motion for matter subjected to electromagnetic fields can be constructed.
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"abstract": "A macroscopic theory for the dynamics of elastic, isotropic matter in\npresence of electromagnetic fields is proposed here. We avail of Gordon\u0027s\ngeneral relativistic derivation of Abraham\u0027s electromagnetic energy tensor as\nstarting point. The necessary description of the elastic and of the inertial\nbehaviour of matter is provided through a four dimensional generalisation of\nHooke\u0027s law, made possible by the introduction of a four dimensional\n``displacement\u0027\u0027 vector. As intimated by Nordstroem, the physical origin of\nelectrostriction and of magnetostriction is attributed to the change in the\nconstitutive equation of electromagnetism caused by the deformation of matter.\nThe part of the electromagnetic Lagrangian that depends on that deformation is\ngiven explicitly for the case of an isotropic medium and the resulting\nexpression of the electrostrictive force is derived, thus showing how more\nrealistic equations of motion for matter subjected to electromagnetic fields\ncan be constructed.",
"arxiv_id": "physics/9912010",
"authors": [
"S. Antoci",
"L. Mihich"
],
"categories": [
"physics.class-ph",
"cond-mat",
"gr-qc"
],
"journal_ref": "Nuovo Cim. B115 (2000) 77",
"title": "Electrodynamic forces in elastic matter",
"url": "https://arxiv.org/abs/physics/9912010"
},
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