2,915 research outputs found
Eulerian Walkers as a model of Self-Organised Criticality
We propose a new model of self-organized criticality. A particle is dropped
at random on a lattice and moves along directions specified by arrows at each
site. As it moves, it changes the direction of the arrows according to fixed
rules. On closed graphs these walks generate Euler circuits. On open graphs,
the particle eventually leaves the system, and a new particle is then added.
The operators corresponding to particle addition generate an abelian group,
same as the group for the Abelian Sandpile model on the graph. We determine the
critical steady state and some critical exponents exactly, using this
equivalence.Comment: 4 pages, RevTex, 4 figure
Charge and Statistics of Quasiparticles in Fractional Quantum Hall Effec
We have studied here the charge and statistics of quasiparticle excitations
in FQH states on the basis of the Berry phase approach incorporating the fact
that even number of flux quanta can be gauged away when the Berry phase is
removed to the dynamical phase. It is observed that the charge and
statistical parameter of a quasiparticle at filling factor
are given by and
, with the fact that the charge of the quasihole is
opposite to that of the quasielectron. Using Laughlin wave function for
quasiparticles, numerical studies have been done following the work of
Kj{\o}nsberg and Myrheim \cite{KM} for FQH states at and it is
pointed out that as in case of quasiholes, the statistics parameter can be well
defined for quasielectrons having the value .Comment: 12 pages, 4 figure
Solvent Structure and Molecular Orientation in the Double-Layer at the Mercury- Water Interface
Solvent structure and molecular orientation in the Hg-water
interphase is an important and previously little investigated aspect
of the electrical double-layer at charged metal interfaces. By using
pyrazine and pyridine in critical comparative experiments on
a) changes of surface dipole potential difference (Esin and Markov
effects), b) surface pressure changes and c) charge dependence
of free energy of adsorption, it is shown how the surface dipole
contribution from oriented solvent molecules may be evaluated
together with the charge-dependent distribution function for water
orientation. In the case of pyridine, orientation of the adsorbate
molecule itself occurs in a manner dependent on surface charge
on the metal and interaction with oriented and bulk solvent
molecules
Lyapunov exponents and transport in the Zhang model of Self-Organized Criticality
We discuss the role played by the Lyapunov exponents in the dynamics of
Zhang's model of Self-Organized Criticality. We show that a large part of the
spectrum (slowest modes) is associated with the energy transpor in the lattice.
In particular, we give bounds on the first negative Lyapunov exponent in terms
of the energy flux dissipated at the boundaries per unit of time. We then
establish an explicit formula for the transport modes that appear as diffusion
modes in a landscape where the metric is given by the density of active sites.
We use a finite size scaling ansatz for the Lyapunov spectrum and relate the
scaling exponent to the scaling of quantities like avalanche size, duration,
density of active sites, etc ...Comment: 33 pages, 6 figures, 1 table (to appear
Solvent Structure and Molecular Orientation in the Double-Layer at the Mercury- Water Interface
Solvent structure and molecular orientation in the Hg-water
interphase is an important and previously little investigated aspect
of the electrical double-layer at charged metal interfaces. By using
pyrazine and pyridine in critical comparative experiments on
a) changes of surface dipole potential difference (Esin and Markov
effects), b) surface pressure changes and c) charge dependence
of free energy of adsorption, it is shown how the surface dipole
contribution from oriented solvent molecules may be evaluated
together with the charge-dependent distribution function for water
orientation. In the case of pyridine, orientation of the adsorbate
molecule itself occurs in a manner dependent on surface charge
on the metal and interaction with oriented and bulk solvent
molecules
A non-destructive analytic tool for nanostructured materials : Raman and photoluminescence spectroscopy
Modern materials science requires efficient processing and characterization
techniques for low dimensional systems. Raman spectroscopy is an important
non-destructive tool, which provides enormous information on these materials.
This understanding is not only interesting in its own right from a physicist's
point of view, but can also be of considerable importance in optoelectronics
and device applications of these materials in nanotechnology. The commercial
Raman spectrometers are quite expensive. In this article, we have presented a
relatively less expensive set-up with home-built collection optics attachment.
The details of the instrumentation have been described. Studies on four classes
of nanostructures - Ge nanoparticles, porous silicon (nanowire), carbon
nanotubes and 2D InGaAs quantum layers, demonstrate that this unit can be of
use in teaching and research on nanomaterials.Comment: 32 pages, 13 figure
A new concept for high-cycle-life LEO: Rechargeable MnO2-hydrogen
The nickel-hydrogen secondary battery system, developed in the early 1970s, has become the system of choice for geostationary earth orbit (GEO) applications. However, for low earth orbit (LEO) satellites with long expected lifetimes the nickel positive limits performance. This requires derating of the cell to achieve very long cycle life. A new system, rechargeable MnO2-Hydrogen, which does not require derating, is described here. For LEO applications, it promises to have longer cycle life, high rate capability, a higher effective energy density, and much lower self-discharge behavior than those of the nickel-hydrogen system
Percolation Systems away from the Critical Point
This article reviews some effects of disorder in percolation systems even
away from the critical density p_c. For densities below p_c, the statistics of
large clusters defines the animals problem. Its relation to the directed
animals problem and the Lee-Yang edge singularity problem is described. Rare
compact clusters give rise to Griffiths singuraties in the free energy of
diluted ferromagnets, and lead to a very slow relaxation of magnetization. In
biassed diffusion on percolation clusters, trapping in dead-end branches leads
to asymptotic drift velocity becoming zero for strong bias, and very slow
relaxation of velocity near the critical bias field.Comment: Minor typos fixed. Submitted to Praman
Exact Solution of Return Hysteresis Loops in One Dimensional Random Field Ising Model at Zero Temperature
Minor hysteresis loops within the main loop are obtained analytically and
exactly in the one-dimensional ferromagnetic random field Ising-model at zero
temperature. Numerical simulations of the model show excellent agreement with
the analytical results
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