636 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Lancaster UniversityGB114 papers
- Daresbury LaboratoryGB82 papers
- University of ManchesterGB70 papers
- University of LiverpoolGB59 papers
- Sci-Tech DaresburyGB51 papers
- European Organization for Nuclear ResearchCH45 papers
- University of StrathclydeGB43 papers
- University College LondonGB30 papers
- University of OxfordGB28 papers
- Imperial College LondonGB27 papers
- Deutsches Elektronen-Synchrotron DESYDE25 papers
- Budker Institute of Nuclear PhysicsRU21 papers
16 papers · 1 filter
The tensorial representation of the distributional stress-energy quadrupole and its dynamics
Jonathan Gratus, Spyridon Talaganis
We investigate stress-energy tensors constructed from the covariant derivatives of delta functions on a worldline. Since covariant derivatives are used all the components transform…
The correct and unusual coordinate transformation rules for electromagnetic quadrupoles
Jonathan Gratus, Thomas Banaszek
Despite being studied for over a century, the use of quadrupoles have been limited to Cartesian coordinates in flat spacetime due to the incorrect transformation rules used to defi…
On -jet field approximations to geodesic deviation equations
Ricardo Gallego Torromé, Jonathan Gratus
Let be a smooth manifold and a semi-spray defined on a sub-bundle of the tangent bundle . In this work it is proved that the only non-trivial $k…
Covariant Hysteretic Constitutive Theory for Maxwell's equations: Application to Axially Rotating Media
Alison C. Hale, Robin W. Tucker
This paper explores a class of non-linear constitutive relations for materials with memory in the framework of covariant macroscopic Maxwell theory. Based on earlier models for the…
Testing vacuum electrodynamics using `slow light' experiments
S. P. Flood, D. A. Burton
A recent proposal to explore vacuum electrodynamics using the speed of propagation of an electromagnetic pulse through an ambient constant magnetic field is examined. It is argued…
A kinetic model of radiating electrons
A. Noble, J. Gratus, D. A. Burton +1
A kinetic theory is developed to describe radiating electrons whose motion is governed by the Lorentz-Dirac equation. This gives rise to a generalized Vlasov equation coupled to an…
Jacobi equations and particle accelerator beam dynamics
Ricardo Gallego Torrome
A geometric formulation of the linear beam dynamics in accelerator physics is presented. In particular, it is proved that the linear transverse and longitudinal dynamics can be int…
Numerical Regularization of Electromagnetic Quantum Fluctuations in Inhomogeneous Dielectric Media
Shin-itiro Goto, Alison C. Hale, Robin W. Tucker +1
Electromagnetic Casimir stresses are of relevance to many technologies based on mesoscopic devices such as MEMS embedded in dielectric media, Casimir induced friction in nano-machi…
Maxwell's Equations in a Uniformly Rotating Dielectric Medium and the Wilson-Wilson Experiment
C E S Canovan, Robin W Tucker
This note offers a conceptually straightforward and efficient way to formulate and solve problems in the electromagnetics of moving media based on a representation of Maxwell's equ…
Charged relativistic fluids and non-linear electrodynamics
T. Dereli, R. W. Tucker
The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has…
Averaged Lorentz Dynamics and an application in Plasma Dynamics
Ricardo Gallego Torrome
Using a geometric averaging procedure applied to a non-affine linear connection, we prove that for a narrow one particle distribution function and in the ultra-relativistic limit,…
Fluid Models from Kinetic Models using a Geometric Averaging Procedure
Ricardo Gallego Torrome
We interpret the Lorentz force equation as a geodesic equation associated with a non-linear connection. Using a geometric averaging procedure, we prove that for narrow and smooth o…
Fiber averaged dynamics associated with the Lorentz force equation
Ricardo Gallego Torrome
It is shown that the Lorentz force equation is equivalent to the auto-parallel condition of a linear connection defined on a convenient p…
Differential Form Valued Forms and Distributional Electromagnetic Sources
Robin W Tucker
Properties of a fundamental double-form of bi-degree for are reviewed in order to establish a distributional framework for analysing equations of the form $$ΔΦ+ λ^…
New Perspectives On the Relevance of Gravitation for the Covariant Description of Electromagnetically Polarizable Media
T. Dereli, J. Gratus, R. W. Tucker
Electromagnetic properties of a simple polarisable medium may be parameterised in terms of a constitutive tensor whose properties can in principle be determined by experiments in n…
The Covariant Description of Electromagnetically Polarizable Media
T. Dereli, J. Gratus, R. W. Tucker
The form of the phenomenological stress-energy-momentum tensor for the electromagnetic field in a class of inhomogeneous, anisotropic magneto-electric media is calculated from firs…