3,239 research outputs found
The diffusion coefficient of propagating fronts with multiplicative noise
Recent studies have shown that in the presence of noise both fronts
propagating into a metastable state and so-called pushed fronts propagating
into an unstable state, exhibit diffusive wandering about the average position.
In this paper we derive an expression for the effective diffusion coefficient
of such fronts, which was motivated before on the basis of a multiple scale
ansatz. Our systematic derivation is based on the decomposition of the
fluctuating front into a suitably positioned average profile plus fluctuating
eigenmodes of the stability operator. While the fluctuations of the front
position in this particular decomposition are a Wiener process on all time
scales, the fluctuations about the time averaged front profile relax
exponentially.Comment: 4 page
Roughness of Sandpile Surfaces
We study the surface roughness of prototype models displaying self-organized
criticality (SOC) and their noncritical variants in one dimension. For SOC
systems, we find that two seemingly equivalent definitions of surface roughness
yields different asymptotic scaling exponents. Using approximate analytical
arguments and extensive numerical studies we conclude that this ambiguity is
due to the special scaling properties of the nonlinear steady state surface. We
also find that there is no such ambiguity for non-SOC models, although there
may be intermediate crossovers to different roughness values. Such crossovers
need to be distinguished from the true asymptotic behaviour, as in the case of
a noncritical disordered sandpile model studied in [10].Comment: 5 pages, 4 figures. Accepted for publication in Phys. Rev.
Compactification of IIB Theory with Fluxes and Axion-Dilaton String Cosmology
Compactification of type IIB theory on torus, in the presence of fluxes, is
considered. The reduced effective action is expressed in manifestly S-duality
invariant form. Cosmological solutions of the model are discussed in several
cases in the Pre-Big Bang scenario.Comment: 22 page
Driven Lattice Gases with Quenched Disorder: Exact Results and Different Macroscopic Regimes
We study the effect of quenched spatial disorder on the steady states of
driven systems of interacting particles. Two sorts of models are studied:
disordered drop-push processes and their generalizations, and the disordered
asymmetric simple exclusion process. We write down the exact steady-state
measure, and consequently a number of physical quantities explicitly, for the
drop-push dynamics in any dimensions for arbitrary disorder. We find that three
qualitatively different regimes of behaviour are possible in 1- disordered
driven systems. In the Vanishing-Current regime, the steady-state current
approaches zero in the thermodynamic limit. A system with a non-zero current
can either be in the Homogeneous regime, chracterized by a single macroscopic
density, or the Segregated-Density regime, with macroscopic regions of
different densities. We comment on certain important constraints to be taken
care of in any field theory of disordered systems.Comment: RevTex, 17pages, 18 figures included using psfig.st
InGaN nano-ring structures for high-efficiency light emitting diodes
A technique based on the Fresnel diffraction effect for the fabrication of nano-scale site-controlled ring structures in InGaN/GaN multi-quantum well structures has been demonstrated. The ring structures have an internal diameter of 500 nm and a wall width of 300 nm. A 1 cm-1 Raman shift has been measured, signifying substantial strain relaxation from the fabricated structure. The 9 nm blueshift observed in the cathodoluminescence spectra can be attributed to band filling and/or screening of the piezoelectric field. A light emitting diode based on this geometry has been demonstrated
Fermion Zero Modes in the Presence of Fluxes and a Non-perturbative Superpotential
We study the effect of background fluxes of general Hodge type on the
supersymmetry conditions and on the fermionic zero modes on the world-volume of
a Euclidean M5/D3-brane in M-theory/type IIB string theory.
Using the naive susy variation of the modulino fields to determine the number
of zero modes in the presence of a flux of general Hodge type, an inconsistency
appears. This inconsistency is resolved by a modification of the supersymmetry
variation of the modulinos, which captures the back-reaction of the
non-perturbative effects on the background flux and the geometry.Comment: 21 pages, revised version contains a new appendix on dimensional
reduction of spinors and some changes in the spinor equation
Environmental considerations in the selection of metallurgical processes for the extraction of molybdenum from low grade molybdenite concentrate
Environmental considerations are necessitating the development of new extractive processes for the production ofvarious non-ferrous metals from their sulphide ores. The current industrial practice, which involves roasting
of the sulphide ores, releases SO, and particulates to the atmosphere.These pollutants require expensive emission control and off-gas cleaning to environmentally acceptable limits before for their discharge to the atmosphere.
Of late, a need has been felt to develop new processes which not only can control the air pollution but also avoid the subsequent offgastreatment measures. The present paper deals with the development of two alternate processes, soda ash roasting and lime enhanced carbothermic
reduction, for processing the Rakha molybdenite concentrate. The effect of various experimental parameters on the recovery as well as purity of MoO3 and Mo has been discussed. These processes convert the sulphide content of molybdenite to sulphates, thereby avoiding the release of pollutants to the atmosphere
N=4 supergravity for Type IIB on T^6/Z_2 in presence of fluxes
We report on the construction of four dimensional gauged supergravity models
that can be interpreted as type IIB orientifold compactification in presence of
3-form fluxes and D3--branes. We mainly address our attention to the symplectic
embedding of the U-duality group of the theory and the consequent choice of the
gauge group, whose four dimensional killing vectors are the remnant of the ten
dimensional fluxes. We briefly discuss the structure of the scalar potential
arising from the gauging and the properties of the killing vectors in order to
preserve some amount of supersymmetry.Comment: LaTeX, iopart class, 9 pages, Contribution to the proceedings of the
workshop of the RTN Network "The quantum structure of space-time and the
geometric nature of fundamental interactions",Copenhagen, September 2003 2nd
version, references adde
Non-Abelian Einstein-Born-Infeld Black Holes
We construct regular and black hole solutions in SU(2) Einstein-Born-Infeld
theory. These solutions have many features in common with the corresponding
SU(2) Einstein-Yang-Mills solutions. In particular, sequences of neutral
non-abelian solutions tend to magnetically charged limiting solutions, related
to embedded abelian solutions. Thermodynamic properties of the black hole
solutions are addressed.Comment: LaTeX, 14 pages, 6 postscript figures; typos corrected in reference
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