The Maxwell stress tensor (named after James Clerk Maxwell) is a symmetric second-order tensor used in classical electromagnetism to represent the interaction between electromagnetic forces and mechanical momentum. In simple situations, such as a point charge moving freely in a homogeneous magnetic field, it is easy to calculate the forces on the charge from the Lorentz force law. When the situation becomes more complicated, this ordinary procedure can become impractically difficult, with equations spanning multiple lines. It is therefore convenient to collect many of these terms in the Maxwell stress tensor, and to use tensor arithmetic to find the answer to the problem at hand.
In the relativistic formulation of electromagnetism, the Maxwell's tensor appears as a part of the electromagnetic stress–energy tensor which is the electromagnetic component of the total stress–energy tensor. The latter describes the density and flux of energy and momentum in spacetime.
and 18 Related for: Maxwell stress tensor information
The Maxwellstresstensor (named after James Clerk Maxwell) is a symmetric second-order tensor used in classical electromagnetism to represent the interaction...
relativity (stress–energy tensor, curvature tensor, ...), and others. In applications, it is common to study situations in which a different tensor can occur...
the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical...
electromagnetic stress–energy tensor can be interpreted as the flux density of the momentum four-vector, and is a contravariant symmetric tensor that is the...
of a tensor equation which related the local spacetime curvature (expressed by the Einstein tensor) with the local energy, momentum and stress within...
hydrostatic component of the stresstensor. Although it has been believed it was formulated by James Clerk Maxwell in 1865, Maxwell only described the general...
is the electromagnetic stress-energy tensor, a covariant rank-2 tensor which includes the Poynting vector, Maxwellstresstensor, and electromagnetic energy...
expressed in terms of the Beltrami stresstensor. Stress functions are derived as special cases of this Beltrami stresstensor which, although less general...
ISBN 0-7167-0344-0.. These authors use the Lorentz force in tensor form as definer of the electromagnetic tensor F, in turn the fields E and B. I.S. Grant; W.R. Phillips;...
include equivalent forces due to Maxwellstresstensor, magnetostriction and Lorentz force (also called Laplace force). Maxwell forces, also called reluctances...
Magnetic tension and pressure are both implicitly included in the Maxwellstresstensor. Terms representing these two forces are present along the main...
component of the surface normal of S. The quantity Tij is called the Maxwellstresstensor, defined as T i j ≡ ϵ 0 ( E i E j − 1 2 δ i j E 2 ) + 1 μ 0 ( B...
} (t)} is the Cauchy stresstensor as function of time t, p is the pressure I {\displaystyle \mathbf {I} } is the unity tensor M is the memory function...
Maxwell–Proca equation Maxwell–Ampere law The maxwell (Mx), a compound derived CGS unit measuring magnetic flux Maxwelltensor, also Maxwellstress tensor...
Magnetic tension and pressure are both implicitly included in the Maxwellstresstensor. Terms representing these two forces are present along the main...
phasor, the scalar product and tensor product of electric field with itself, as are present in the Maxwellstresstensor, result in a doubling of the oscillation...
Global Information