2,637 research outputs found
Geometrical construction of quantum groups representations
We describe geometrically the classical and quantum inhomogeneous groups
G_0=(SL(2, \BbbC)\triangleright \BbbC^2) and G_1=(SL(2, \BbbC)\triangleright
\BbbC^2)\triangleright \BbbC by studying explicitly their shape algebras as a
spaces of polynomial functions with a quadratic relations.Comment: 16 pages, 1 figur
Ergodic and Nonergodic Anomalous Diffusion in Coupled Stochastic Processes
Inspired by problems in biochemical kinetics, we study statistical properties
of an overdamped Langevin process whose friction coefficient depends on the
state of a similar, unobserved process. Integrating out the latter, we derive
the long time behaviour of the mean square displacement. Anomalous diffusion is
found. Since the diffusion exponent can not be predicted using a simple scaling
argument, anomalous scaling appears as well. We also find that the coupling can
lead to ergodic or non-ergodic behaviour of the studied process. We compare our
theoretical predictions with numerical simulations and find an excellent
agreement. The findings caution against treating biochemical systems coupled
with unobserved dynamical degrees of freedom by means of standard, diffusive
Langevin descriptions
Simulation of Hydrogen Generation from Methane Partial Oxidation in a Plasma Fuel Reformer
A model for the chemistry in a plasma fuel reformer or plasmatron has been developed. The plasma fuel reformer is set up to produce syngas (hydrogen and carbon monoxide gas mixture) from partial oxidation of hydrocarbons. The behavior of methane as fuel has been investigated to characterize and simulate the plasmatron performance. The goal of this work has been improved understanding of the physical/chemical processes within the reactor. The simulation tool used was CHEMKIN 3.7, using the GRI methane combustion mechanism. The Partially Stirred Reactor application (PASR) simulates random mixing by a frequency mixing parameter, which is directly dependant of the system fluid dynamic properties. The fuel reformer was designed as a reactor where combustion is initiated by an electric discharge due to ohmic heating of the arc region. From discharge observations, energy estimations and model simulations, it was found that the electric arc initiates combustion by locally raising the temperature and then propagating the reaction by heat and mass transfer/mixing to the surroundings. Simulation results demonstrated that there is an optimum characteristic mixing time for each residence time, depending on the initial temperature reached at the arc. It was also found that for given power input into the system, the more spread the energy is, or the more mass is heated to a moderate temperature, the better the calculated performance
Electromagnetic duality in general relativity
By resolving the Riemann curvature relative to a unit timelike vector into
electric and magnetic parts, we consider duality relations analogous to the
electromagnetic theory. It turns out that the duality symmetry of the Einstein
action implies the Einstein vacuum equation without the cosmological term. The
vacuum equation is invariant under interchange of active and passive electric
parts giving rise to the same vacuum solutions but the gravitational constant
changes sign. Further by modifying the equation it is possible to construct
interesting dual solutions to vacuum as well as to flat spacetimes.Comment: 18 pages, LaTEX versio
The Dynamical Behaviour of Test Particles in a Quasi-Spherical Spacetime and the Physical Meaning of Superenergy
We calculate the instantaneous proper radial acceleration of test particles
(as measured by a locally defined Lorentzian observer) in a Weyl spacetime,
close to the horizon. As expected from the Israel theorem, there appear some
bifurcations with respect to the spherically symmetric case (Schwarzschild),
which are explained in terms of the behaviour of the superenergy, bringing out
the physical relevance of this quantity in the study of general relativistic
systems.Comment: 14 pages, Latex. 4 figures. New references added. Typos corrected. To
appear in Int. J. Theor. Phy
A duality relation for fluid spacetime
We consider the electromagnetic resolution of gravitational field. We show
that under the duality transformation, in which active and passive electric
parts of the Riemann curvature are interchanged, a fluid spacetime in comoving
coordinates remains invariant in its character with density and pressure
transforming, while energy flux and anisotropic pressure remaining unaltered.
Further if fluid admits a barotropic equation of state,
where , which will transform to . Clearly the stiff fluid and dust are dual to each-other
while , will go to flat spacetime. However the n and the deSitter ) universes ar e self-dual.Comment: 5 pages, LaTeX version, Accepted in Classical Quantum Gravity as a
Lette
On the classification of type D spacetimes
We give a classification of the type D spacetimes based on the invariant
differential properties of the Weyl principal structure. Our classification is
established using tensorial invariants of the Weyl tensor and, consequently,
besides its intrinsic nature, it is valid for the whole set of the type D
metrics and it applies on both, vacuum and non-vacuum solutions. We consider
the Cotton-zero type D metrics and we study the classes that are compatible
with this condition. The subfamily of spacetimes with constant argument of the
Weyl eigenvalue is analyzed in more detail by offering a canonical expression
for the metric tensor and by giving a generalization of some results about the
non-existence of purely magnetic solutions. The usefulness of these results is
illustrated in characterizing and classifying a family of Einstein-Maxwell
solutions. Our approach permits us to give intrinsic and explicit conditions
that label every metric, obtaining in this way an operational algorithm to
detect them. In particular a characterization of the Reissner-Nordstr\"{o}m
metric is accomplished.Comment: 29 pages, 0 figure
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