8,932 research outputs found
Quark-Lepton Symmetry In Five Dimensions
We construct a complete five dimensional Quark-Lepton symmetric model, with
all fields propagating in the bulk. The extra dimension forms an orbifold with the zero mode fermions corresponding to standard model
quarks localised at one fixed point. Zero modes corresponding to
left(right)-chiral leptons are localised at (near) the other fixed point. This
localisation pattern is motivated by the symmetries of the model. Shifting the
right-handed neutrinos and charged leptons slightly from the fixed point
provides a new mechanism for understanding the absence of relations of the type
or in Quark-Lepton symmetric models. Flavour changing
neutral currents resulting from Kaluza Klein gluon exchange, which typically
arise in the quark sector of split fermion models, are suppressed due to the
localisation of quarks at one point. The separation of quarks and leptons in
the compact extra dimension also acts to suppress the proton decay rate. This
permits the extra dimension to be much larger than that obtained in a previous
construct, with the bound TeV obtained.Comment: 12 pages, references added to match published versio
Density and Pair Correlation Function of Confined Identical Particles: the Bose-Einstein Case
Two basic correlation functions are calculated for a model of
harmonically interacting identical particles in a parabolic potential well. The
density and the pair correlation function of the model are investigated for the
boson case. The dependence of these static response properties on the complete
range of the temperature and of the number of particles is obtained. The
calculation technique is based on the path integral approach of symmetrized
density matrices for identical particles in a parabolic confining well.Comment: 8 pages (REVTEX) + 6 figures (postscript
Correlations in a Confined gas of Harmonically Interacting Spin-Polarized Fermions
For a fermion gas with equally spaced energy levels, the density and the pair
correlation function are obtained. The derivation is based on the path integral
approach for identical particles and the inversion of the generating functions
for both static responses. The density and the pair correlation function are
evaluated explicitly in the ground state of a confined fermion system with a
number of particles ranging from 1 to 220 and filling the Fermi level
completely.Comment: 11 REVTEX pages, 3 postscript figures. Accepted for publication in
Phys. Rev. E, Vol. 58 (August 1, 1998
N-body decomposition of bipartite networks
In this paper, we present a method to project co-authorship networks, that
accounts in detail for the geometrical structure of scientists collaborations.
By restricting the scope to 3-body interactions, we focus on the number of
triangles in the system, and show the importance of multi-scientists (more than
2) collaborations in the social network. This motivates the introduction of
generalized networks, where basic connections are not binary, but involve
arbitrary number of components. We focus on the 3-body case, and study
numerically the percolation transition.Comment: 5 pages, submitted to PR
Assortative mixing in networks
A network is said to show assortative mixing if the nodes in the network that
have many connections tend to be connected to other nodes with many
connections. We define a measure of assortative mixing for networks and use it
to show that social networks are often assortatively mixed, but that
technological and biological networks tend to be disassortative. We propose a
model of an assortative network, which we study both analytically and
numerically. Within the framework of this model we find that assortative
networks tend to percolate more easily than their disassortative counterparts
and that they are also more robust to vertex removal.Comment: 5 pages, 1 table, 1 figur
Confined Harmonically Interacting Spin-Polarized Fermions in a Magnetic Field: Thermodynamics
We investigate the combined influence of a magnetic field and a harmonic
interparticle interaction on the thermodynamic properties of a finite number of
spin polarized fermions in a confiment potential. This study is an extension
using our path integral approach of symmetrized density matrices for identical
particles. The thermodynamical properties are calculated for a three
dimensional model of N harmonically interacting spin polarized fermions in a
parabolic potential well in the presence of a magnetic field. The free energy
and the internal energy are obtained for a limited number of particles.
Deviations from the thermodynamical limit become negligible for about 100 or
more particles, but even for a smaller number of fermions present in the well,
scaling relations similar to those of the continuum approximation to the
density of states are already satisfied.Comment: 7 pages REVTEX and 8 postscript figures, accepted in Phys. Rev.
Nuclear reactor power as applied to a space-based radar mission
The SP-100 Project was established to develop and demonstrate feasibility of a space reactor power system (SRPS) at power levels of 10's of kilowatts to a megawatt. To help determine systems requirements for the SRPS, a mission and spacecraft were examined which utilize this power system for a space-based radar to observe moving objects. Aspects of the mission and spacecraft bearing on the power system were the primary objectives of this study; performance of the radar itself was not within the scope. The study was carried out by the Systems Design Audit Team of the SP-100 Project
Curriculum Materials for Elementary Reading: Shackles and Scaffolds for Four Beginning Teachers
The purpose of this longitudinal study was to learn how beginning elementary teachers understood and used curriculum materials for teaching reading, and how, in turn, these materials shaped teachers\u27 instruction. We followed 4 teachers who worked in markedly different school situations and were provided a variety of curriculum materials, ranging from scripted reading programs to supplemental materials without teaching guides. Data were gathered through classroom observations, interviews, and curriculum artifacts over the teachers\u27 first 3 years on the job. Our analysis suggested that curriculum materials interacted with teachers\u27 knowledge of reading and reading instruction, and with the contexts in which they worked. As a result, curriculum materials both fostered and inhibited teachers\u27 on-the-job learning. We found that the 2 teachers with weak knowledge or more restrictive materials and environments learned the least and were least able to adapt instruction to meet the needs of their students. The 2 teachers with stronger knowledge, access to multiple materials, and support for decision making regarding materials and instructional strategies learned the most and were most able to adapt instruction. Furthermore, early experiences with specific curriculum materials had effects 2 years later on these teachers\u27 instructional practices. Implications for curriculum mandates, material selection, and professional development are discussed
Fractal dimensions of the Q-state Potts model for the complete and external hulls
Fortuin-Kastelyn clusters in the critical -state Potts model are
conformally invariant fractals. We obtain simulation results for the fractal
dimension of the complete and external (accessible) hulls for Q=1, 2, 3, and 4,
on clusters that wrap around a cylindrical system. We find excellent agreement
between these results and theoretical predictions. We also obtain the
probability distributions of the hull lengths and maximal heights of the
clusters in this geometry and provide a conjecture for their form.Comment: 9 pages 4 figure
How to project a bipartite network?
The one-mode projecting is extensively used to compress the bipartite
networks. Since the one-mode projection is always less informative than the
bipartite representation, a proper weighting method is required to better
retain the original information. In this article, inspired by the network-based
resource-allocation dynamics, we raise a weighting method, which can be
directly applied in extracting the hidden information of networks, with
remarkably better performance than the widely used global ranking method as
well as collaborative filtering. This work not only provides a creditable
method in compressing bipartite networks, but also highlights a possible way
for the better solution of a long-standing challenge in modern information
science: How to do personal recommendation?Comment: 7 pages, 4 figure
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