1,024 research outputs found
Spin Resistivity in the Frustrated Model
We study in this paper the resistivity encountered by Ising itinerant spins
traveling in the so-called frustrated simple cubic Ising lattice. For
the lattice, we take into account the interactions between nearest-neighbors
and next-nearest-neighbors, and respectively. Itinerant spins
interact with lattice spins via a distance-dependent interaction. We also take
into account an interaction between itinerant spins. The lattice is frustrated
in a range of in which we show that it undergoes a very strong
first-order transition. Using Monte Carlo simulation, we calculate the
resistivity of the itinerant spins and show that the first-order
transition of the lattice causes a discontinuity of .Comment: submitted for publicatio
Spin Resistivity in Frustrated Antiferromagnets
In this paper we study the spin transport in frustrated antiferromagnetic FCC
films by Monte Carlo simulation. In the case of Ising spin model, we show that
the spin resistivity versus temperature exhibits a discontinuity at the phase
transition temperature: an upward jump or a downward fall, depending on how
many parallel and antiparallel localized spins interacting with a given
itinerant spin. The surface effects as well as the difference of two degenerate
states on the resistivity are analyzed. Comparison with non frustrated
antiferromagnets is shown to highlight the frustration effect. We also show and
discuss the results of the Heisenberg spin model on the same lattice
Liesegang patterns : Studies on the width law
The so-called "width law" for Liesegang patterns, which states that the
positions x_n and widths w_n of bands verify the relation x_n \sim w_n^{\alpha}
for some \alpha>0, is investigated both experimentally and theoretically. We
provide experimental data exhibiting good evidence for values of \alpha close
to 1. The value \alpha=1 is supported by theoretical arguments based on a
generic model of reaction-diffusion.Comment: 7 pages, RevTeX, two columns, 5 figure
Formation of Liesegang patterns: Simulations using a kinetic Ising model
A kinetic Ising model description of Liesegang phenomena is studied using
Monte Carlo simulations. The model takes into account thermal fluctuations,
contains noise in the chemical reactions, and its control parameters are
experimentally accessible. We find that noisy, irregular precipitation takes
place in dimension d=2 while, depending on the values of the control
parameters, either irregular patterns or precipitation bands satisfying the
regular spacing law emerge in d=3.Comment: 7 pages, 8 ps figures, RevTe
Derivation of the Matalon-Packter law for Liesegang patterns
Theoretical models of the Liesegang phenomena are studied and simple
expressions for the spacing coefficients characterizing the patterns are
derived. The emphasis is on displaying the explicit dependences on the
concentrations of the inner- and the outer-electrolytes. Competing theories
(ion-product supersaturation, nucleation and droplet growth, induced sol-
coagulation) are treated with the aim of finding the distinguishing features of
the theories. The predictions are compared with experiments and the results
suggest that the induced sol-coagulation theory is the best candidate for
describing the experimental observations embodied in the Matalon-Packter law.Comment: 9 pages, 7 figures, RevTe
Angra Neutrino Project: status and plans
We present the status and plans of the Angra Project, a new nuclear reactor
neutrino oscillation experiment, proposed to be built in Brazil at the Angra
dos Reis nuclear reactor complex. This experiment is aimed to measure theta_13,
the last unknown of the three neutrino mixing angles. Combining a high
luminosity design, very low background from cosmic rays and careful control of
systematic errors at the 1% level, we propose a high sensitivity multi-detector
experiment, able to reach a sensitivity to antineutrino disappearance down to
sin^2(2*theta_13) = 0.006 in a three years running period, improving present
limits constrained by the CHOOZ experiment by more than an order of magnitude.Comment: 2 pages, 1 figure, talk presented by J.C. Anjos ([email protected]) at
NuFact05, 21-26 June 2005, Frascati, Ital
Distance and intersection number in the curve graph of a surface
In this work, we study the cellular decomposition of induced by a filling
pair of curves and , , and its connection
to the distance function in the curve graph of a closed orientable
surface of genus . Efficient geodesics were introduced by the first
author in joint work with Margalit and Menasco in 2016, giving an algorithm
that begins with a pair of non-separating filling curves that determine
vertices in the curve graph of a closed orientable surface and
computing from them a finite set of {\it efficient} geodesics. We extend the
tools of efficient geodesics to study the relationship between distance
, intersection number , and . The main result is
the development and analysis of particular configurations of rectangles in
called \textit{spirals}. We are able to show that, in some
special cases, the efficient geodesic algorithm can be used to build an
algorithm that reduces while preserving . At the end of the
paper, we note a connection of our work to the notion of extending geodesics.Comment: 20 pages, 17 figures. Changes: A key lemma (Lemma 5.6) was revised to
be more precise, an irrelevant proposition (Proposition 2.1) and example were
removed, unnecessary background material was taken out, some of the
definitions and cited results were clarified (including added figures,) and
Proposition 5.7 and Theorem 5.8 have been merged into a single theorem,
Theorem 4.
- …