dorsal/arxiv
View SchemaThe connection between electromagnetic stress tensors and the dielectric constant in a medium
| Authors | R. Dengler |
|---|---|
| Categories | |
| ArXiv ID | 2601.08635vv1 |
| URL | https://arxiv.org/abs/2601.08635 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
We perform explicit calculations for microscopic models to confirm that a single, unique electromagnetic stress tensor exists in a dielectric medium: the microscopic tensor $\sigma^{#}$. We demonstrate that the conventional macroscopic stress tensor of continuum electrodynamics, which contains the derivative of the dielectric coefficient, is merely a representation of $\sigma^{#}$'s spatial average. This result establishes that, contrary to claims in the literature, both this averaged electromagnetic stress and the hydrodynamic pressure always possess a unique physical meaning.
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"abstract": "We perform explicit calculations for microscopic models to confirm that a single, unique electromagnetic stress tensor exists in a dielectric medium: the microscopic tensor $\\sigma^{#}$. We demonstrate that the conventional macroscopic stress tensor of continuum electrodynamics, which contains the derivative of the dielectric coefficient, is merely a representation of $\\sigma^{#}$\u0027s spatial average. This result establishes that, contrary to claims in the literature, both this averaged electromagnetic stress and the hydrodynamic pressure always possess a unique physical meaning.",
"arxiv_id": "2601.08635",
"authors": [
"R. Dengler"
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"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "The connection between electromagnetic stress tensors and the dielectric constant in a medium",
"url": "https://arxiv.org/abs/2601.08635",
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