1,296 research outputs found
Sialic Acid in Human Serum and Cerebrospinal Fluid. Comparison of methods and reference values
Peer Reviewe
Recurrence and higher ergodic properties for quenched random Lorentz tubes in dimension bigger than two
We consider the billiard dynamics in a non-compact set of R^d that is
constructed as a bi-infinite chain of translated copies of the same
d-dimensional polytope. A random configuration of semi-dispersing scatterers is
placed in each copy. The ensemble of dynamical systems thus defined, one for
each global realization of the scatterers, is called `quenched random Lorentz
tube'. Under some fairly general conditions, we prove that every system in the
ensemble is hyperbolic and almost every system is recurrent, ergodic, and
enjoys some higher chaotic properties.Comment: Final version for J. Stat. Phys., 18 pages, 4 figure
Field-induced structure transformation in electrorheological solids
We have computed the local electric field in a body-centered tetragonal (BCT)
lattice of point dipoles via the Ewald-Kornfeld formulation, in an attempt to
examine the effects of a structure transformation on the local field strength.
For the ground state of an electrorheological solid of hard spheres, we
identified a novel structure transformation from the BCT to the face-centered
cubic (FCC) lattices by changing the uniaxial lattice constant c under the hard
sphere constraint. In contrast to the previous results, the local field
exhibits a non-monotonic transition from BCT to FCC. As c increases from the
BCT ground state, the local field initially decreases rapidly towards the
isotropic value at the body-centered cubic lattice, decreases further, reaching
a minimum value and increases, passing through the isotropic value again at an
intermediate lattice, reaches a maximum value and finally decreases to the FCC
value. An experimental realization of the structure transformation is
suggested. Moreover, the change in the local field can lead to a generalized
Clausius-Mossotti equation for the BCT lattices.Comment: Submitted to Phys. Rev.
Mass and Spin Renormalization in Lorentz Electrodynamics
A new, relativistically covariant, massive Lorentz Electrodynamics (LED) is
presented in which the bare particle has a finite positive bare rest mass and
moment of inertia. The particle's electromagnetic self-interaction renormalizes
its mass and spin. Most crucially, the renormalized particle is a soliton:
after any scattering process its rest mass and spin magnitude are dynamically
restored to their pre-scattering values. This guarantees that ``an electron
remains an electron,'' poetically speaking. A renormalization flow study of the
limit of vanishing bare rest mass is conducted for this model. This limit
yields a purely electromagnetic classical field theory with ultra-violet cutoff
at about the electron's Compton wavelength! The renormalized limit model
matches the empirical electron data as orderly as one can hope for at the level
of Lorentz theory. In particular, no superluminal equatorial gyration speeds
occur.Comment: LaTeX, 70 pages, 2 eps figures, submitted; a small computational
blunder in Eq. (10.25)ff of earlier version has been correcte
Strong signatures of radiation reaction below the radiation dominated regime
The influence of radiation reaction (RR) on multiphoton Thomson scattering by
an electron colliding head-on with a strong laser beam is investigated in a new
regime, in which the momentum transferred on average to the electron by the
laser pulse approximately compensates the one initially prepared. This
equilibrium is shown to be far more sensitive to the influence of RR than
previously studied scenarios. As a consequence RR can be experimentally
investigated with currently available laser systems and the underlying widely
discussed theoretical equations become testable for the first time.Comment: 4 pages, 3 figure
Effects of geometric anisotropy on local field distribution: Ewald-Kornfeld formulation
We have applied the Ewald-Kornfeld formulation to a tetragonal lattice of
point dipoles, in an attempt to examine the effects of geometric anisotropy on
the local field distribution. The various problems encountered in the
computation of the conditionally convergent summation of the near field are
addressed and the methods of overcoming them are discussed. The results show
that the geometric anisotropy has a significant impact on the local field
distribution. The change in the local field can lead to a generalized
Clausius-Mossotti equation for the anisotropic case.Comment: Accepted for publications, Journal of Physics: Condensed Matte
Absence of a consistent classical equation of motion for a mass-renormalized point charge
The restrictions of analyticity, relativistic (Born) rigidity, and negligible
O(a) terms involved in the evaluation of the self electromagnetic force on an
extended charged sphere of radius "a" are explicitly revealed and taken into
account in order to obtain a classical equation of motion of the extended
charge that is both causal and conserves momentum-energy. Because the
power-series expansion used in the evaluation of the self force becomes invalid
during transition time intervals immediately following the application and
termination of an otherwise analytic externally applied force, transition
forces must be included during these transition time intervals to remove the
noncausal pre-acceleration and pre-deceleration from the solutions to the
equation of motion without the transition forces. For the extended charged
sphere, the transition forces can be chosen to maintain conservation of
momentum-energy in the causal solutions to the equation of motion within the
restrictions of relativistic rigidity and negligible O(a) terms under which the
equation of motion is derived. However, it is shown that renormalization of the
electrostatic mass to a finite value as the radius of the charge approaches
zero introduces a violation of momentum-energy conservation into the causal
solutions to the equation of motion of the point charge if the magnitude of the
external force becomes too large. That is, the causal classical equation of
motion of a point charge with renormalized mass experiences a high acceleration
catastrophe.Comment: 13 pages, No figure
Optical extinction, refractive index, and multiple scattering for suspensions of interacting colloidal particles
We provide a general microscopic theory of the scattering cross-section and
of the refractive index for a system of interacting colloidal particles, exact
at second order in the molecular polarizabilities. In particular: a) we show
that the structural features of the suspension are encoded into the forward
scattered field by multiple scattering effects, whose contribution is essential
for the so-called "optical theorem" to hold in the presence of interactions; b)
we investigate the role of radiation reaction on light extinction; c) we
discuss our results in the framework of effective medium theories, presenting a
general result for the effective refractive index valid, whatever the
structural properties of the suspension, in the limit of particles much larger
than the wavelength; d) by discussing strongly-interacting suspensions, we
unravel subtle anomalous dispersion effects for the suspension refractive
index.Comment: Submitted to Journal of Chemical Physics 37 pages, 4 figure
Snell's Law from an Elementary Particle Viewpoint
Snell's law of light deflection between media with different indices of
refraction is usually discussed in terms of the Maxwell electromagnetic wave
theory. Snell's law may also be derived from a photon beam theory of light
rays. This latter particle physics view is by far the most simple one for
understanding the laws of refraction.Comment: ReVTeX Format 2 *.eps figure
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