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Strongly anisotropic media where the principal components of electric permittivity or magnetic permeability tensors have opposite signs are termed as hyperbolic media. Such media support propagating electromagnetic waves with extremely…

Two methods are explained to exactly solve Maxwell's equations where permittivity, permeability and conductivity may vary in space. In the constitutive relations, retardation is regarded. If the material properties depend but on one…

Optics · Physics 2012-08-20 Ulrich Brosa

The recent detections of gravitational waves by the advanced LIGO and Virgo detectors open up new tests of modified gravity theories in the strong-field and dynamical, extreme gravity regime. Such tests rely sensitively on the phase…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Alexander Saffer , Nicolas Yunes , Kent Yagi

Metamaterials are constructed such that, for a narrow range of frequencies, the momentum density depends on the local displacement gradient, and the stress depends on the local velocity. In these models the momentum density generally…

Mathematical Physics · Physics 2009-11-13 Graeme W. Milton

It is shown that the criticism by Raabe and Welsch of the Dzyaloshinskii-Lifshitz-Pitaevskii theory of the van der Waals-Casimir forces inside a medium is based on misunderstandings. It is explained why and at which conditions one can use…

Statistical Mechanics · Physics 2013-05-29 L. P. Pitaevskii

The Minkowski's theory is regarded as the classical approach for describing the electromagnetism of uniformly moving objects by elegantly utilizing the format-invariance of the Maxwell's equations in inertia reference frames under Lorentz…

General Physics · Physics 2026-03-11 Zhong Lin Wang

One considers linearly thermoelastic composite media, which consist of a homogeneous matrix containing a statistically homogeneous random set of ellipsoidal uncoated or coated inclusions. Effective properties (such as compliance and thermal…

Materials Science · Physics 2009-12-22 Valeriy A. Buryachenko

We consider the electrodynamics of electric charges and currents in vacuum and then generalise our results to the description of a dielectric and magnetic material medium : first in spatial algebra (SA) and then in space-time algebra (STA).…

Classical Physics · Physics 2022-10-12 Sylvain D. Brechet

This article addresses a number of issues associated with the problem of calculating contributions from the electromagnetic quantum induced energy and stress in a stationary material with an inhomogeneous polarizability. After briefly…

Quantum Physics · Physics 2018-10-01 S. Goto , R. W. Tucker , T. J. Walton

As a continuation of the discussion started in (M. Mansuripur, Phys. Rev. Lett. 108, 193901 (2012)), we show that the approach based on Lorentz force law in material media, like Einstein-Laub expression for electromagnetic force, gives…

Classical Physics · Physics 2012-08-28 Alexander Kholmetskii , Oleg Missevitch , Tolga Yarman

We derive the Helmholtz--Korteweg equation, which models acoustic waves in Korteweg fluids. We further derive a nematic variant of the Helmholtz-Korteweg equation, which incorporates an additional orientational term in the stress tensor.…

Mathematical Physics · Physics 2025-08-26 Patrick E. Farrell , Umberto Zerbinati

We address the long-standing controversy regarding the correct description of the electromagnetic energy-momentum tensor in media and its consequences for the Casimir force. The latter being due to the zero-point momentum of the…

Quantum Physics · Physics 2017-10-27 Friedrich Anton Burger , Johnnes Fiedler , Stefan Yoshi Buhmann

We derive the form of the magnetic stress tensor in a completely general, stationary magnetic medium, with an arbitrary magnetization field $\vec M(\vec r)$ and free current density $\vec j(\vec r)$. We start with the magnetic force density…

Astrophysics · Physics 2007-05-23 Olivier Espinosa , Andreas Reisenegger

A classical problem in elasticity theory involves an inhomogeneity embedded in a material of given stress and shear moduli. The inhomogeneity is a region of arbitrary shape whose stress and shear moduli differ from those of the surrounding…

Materials Science · Physics 2009-11-13 Joachim Mathiesen , Itamar Procaccia , Ido Regev

The motion of membranes interacting with external fields in space-times with curvature and torsion is considered. The intrinsic and extrinsic properties of the immersion are fused together to form a stress tensor for the corresponding…

General Relativity and Quantum Cosmology · Physics 2019-10-15 Özgür Açık , Aytolun Çatalkaya , Ümit Ertem , Özgün Sütemen

In this paper, we present a self-consistent field theory of macroscopic forces in spatially inhomogeneous flexible chain polyelectrolyte solutions. We derive an analytical expression for a stress tensor which consists of three terms:…

Soft Condensed Matter · Physics 2023-03-01 Yury Budkov , Nikolai Kalikin

We review 3-d reducible representation of the Lorentz group and introduce a 6-d irreducible representation tailored for transforming 6-d electromagnetic vector, and we show that the mixture of the density matrices associated with the left-…

Classical Physics · Physics 2024-11-25 M. A. Kuntman

In a recent paper [C. Raabe and D.-G. Welsch, Phys. Rev. A 71, 013814 (2005)] an electromagnetic energy-momentum tensor is suggested as an alternative to the Abraham-Minkowski tensor and is applied to calculations of Casimir forces in…

Quantum Physics · Physics 2009-11-13 Iver Brevik , Simen A. Ellingsen

Elastic material with its elastic tensor losing minor symmetry is considered impossible without introducing artificially body torque. Here we demonstrate the feasibility of such material by introducing rotational resonance, the amplified…

Classical Physics · Physics 2020-01-08 Hongkuan Zhang , Yi Chen , Xiaoning Liu , Gengkai Hu

We examine the structure of Maxwell stress in binary fluid mixtures under an external electric field and discuss its consequence. In particular, we show that, in immiscible blends, it is intimately related to the statistics of domain…

Soft Condensed Matter · Physics 2012-02-21 Takahiro Sakaue , Takao Ohta