12,736 research outputs found
Fermion Masses from SO(10) Hermitian Matrices
Masses of fermions in the SO(10) 16-plet are constructed using only the 10,
120 and 126 scalar multiplets. The mass matrices are restricted to be hermitian
and the theory is constructed to have certain assumed quark masses, charged
lepton masses and CKM matrix in accord with data. The remaining free parameters
are found by fitting to light neutrino masses and MSN matrices result as
predictions.Comment: 23 pages. Small textual additions for clarification; formalism and
results unchanged. Version to appear in Phys. Rev.
Electronic Structure of Hyperkagome Na4Ir3O8
We investigate the electronic structure of the frustrated magnet Na4Ir3O8
using density functional theory. Due to strong spin-orbit coupling, the
hyperkagome lattice is characterized by a half-filled complex of states, making
it a cubic iridium analogue of the high temperature superconducting cuprates.
The implications of our results for this unique material are discussed.Comment: expanded discussion with extra figures - 6 pages, 10 figure
Spin Hamiltonian of Hyperkagome Na4Ir3O8
We derive the spin Hamiltonian for the quantum spin liquid Na4Ir3O8, and then
estimate the direct and superexchange contributions between near neighbor
iridium ions using a tight binding parametrization of the electronic structure.
We find a magnitude of the exchange interaction comparable to experiment for a
reasonable value of the on-site Coulomb repulsion. For one of the two tight
binding parametrizations we have studied, the direct exchange term, which is
isotropic, dominates the total exchange. This provides support for those
theories proposed to describe this novel quantum spin liquid that assume an
isotropic Heisenberg model.Comment: 9 pages, 4 figure
Dynamic Matter-Wave Pulse Shaping
In this paper we discuss possibilities to manipulate a matter-wave with
time-dependent potentials. Assuming a specific setup on an atom chip, we
explore how one can focus, accelerate, reflect, and stop an atomic wave packet,
with, for example, electric fields from an array of electrodes. We also utilize
this method to initiate coherent splitting. Special emphasis is put on the
robustness of the control schemes. We begin with the wave packet of a single
atom, and extend this to a BEC, in the Gross-Pitaevskii picture. In analogy to
laser pulse shaping with its wide variety of applications, we expect this work
to form the base for additional time-dependent potentials eventually leading to
matter-wave pulse shaping with numerous application
Determination of the zeta potential for highly charged colloidal suspensions
We compute the electrostatic potential at the surface, or zeta potential
, of a charged particle embedded in a colloidal suspension using a
hybrid mesoscopic model. We show that for weakly perturbing electric fields,
the value of obtained at steady state during electrophoresis is
statistically indistinguishable from in thermodynamic equilibrium. We
quantify the effect of counterions concentration on . We also evaluate
the relevance of the lattice resolution for the calculation of and
discuss how to identify the effective electrostatic radius.Comment: 8 pages, 3 figures with 2 panel
A variance-minimization scheme for optimizing Jastrow factors
We describe a new scheme for optimizing many-electron trial wave functions by
minimizing the unreweighted variance of the energy using stochastic integration
and correlated-sampling techniques. The scheme is restricted to parameters that
are linear in the exponent of a Jastrow correlation factor, which are the most
important parameters in the wave functions we use. The scheme is highly
efficient and allows us to investigate the parameter space more closely than
has been possible before. We search for multiple minima of the variance in the
parameter space and compare the wave functions obtained using reweighted and
unreweighted variance minimization.Comment: 19 pages; 12 figure
Black Hole-Neutron Star Mergers: Disk Mass Predictions
Determining the final result of black hole-neutron star mergers, and in
particular the amount of matter remaining outside the black hole at late times
and its properties, has been one of the main motivations behind the numerical
simulation of these systems. Black hole-neutron star binaries are amongst the
most likely progenitors of short gamma-ray bursts --- as long as massive
(probably a few percents of a solar mass), hot accretion disks are formed
around the black hole. Whether this actually happens strongly depends on the
physical characteristics of the system, and in particular on the mass ratio,
the spin of the black hole, and the radius of the neutron star. We present here
a simple two-parameter model, fitted to existing numerical results, for the
determination of the mass remaining outside the black hole a few milliseconds
after a black hole-neutron star merger (i.e. the combined mass of the accretion
disk, the tidal tail, and the potential ejecta). This model predicts the
remnant mass within a few percents of the mass of the neutron star, at least
for remnant masses up to 20% of the neutron star mass. Results across the range
of parameters deemed to be the most likely astrophysically are presented here.
We find that, for 10 solar mass black holes, massive disks are only possible
for large neutron stars (R>12km), or quasi-extremal black hole spins (a/M>0.9).
We also use our model to discuss how the equation of state of the neutron star
affects the final remnant, and the strong influence that this can have on the
rate of short gamma-ray bursts produced by black hole-neutron star mergers.Comment: 11 pages, 7 figure
Revisiting the Constraint on the Helium Abundance from CMB
We revisit the constraint on the primordial helium mass fraction Yp from
observations of cosmic microwave background (CMB) alone. By minimizing chi
square of recent CMB experiments over 6 other cosmological parameters, we
obtained rather weak constraints as 0.17 < Yp < 0.52 at 1 sigma C.L. for a
particular data set. We also study the future constraint on cosmological
parameters when we take account of the prediction of the standard big bang
nucleosynthesis (BBN) theory as a prior on the helium mass fraction where Yp
can be fixed for a given energy density of baryon. We discuss the implications
of the prediction of the standard BBN on the analysis of CMB.Comment: 15 pages, 5 figures, published versio
Linear scaling electronic structure calculations and accurate sampling with noisy forces
Numerical simulations based on electronic structure calculations are finding
ever growing applications in many areas of physics. A major limiting factor is
however the cubic scaling of the algorithms used. Building on previous work [F.
R. Krajewski and M. Parrinello, Phys.Rev. B71, 233105 (2005)] we introduce a
novel statistical method for evaluating the inter-atomic forces which scales
linearly with system size and is applicable also to metals. The method is based
on exact decomposition of the fermionic determinant and on a mapping onto a
field theoretical expression. We solve exactly the problem of sampling the
Boltzmann distribution with noisy forces. This novel approach can be used in
such diverse fields as quantum chromodynamics, quantum Monte Carlo or colloidal
physics.Comment: 5 pages, 2 figure
A statistical mechanics model for free-for-all airplane passenger boarding
I present and discuss a model for the free-for-all passenger boarding which
is employed by some discount air carriers. The model is based on the principles
of statistical mechanics where each seat in the aircraft has an associated
energy which reflects the preferences of the population of air travelers. As
each passenger enters the airplane they select their seats using Boltzmann
statistics, proceed to that location, load their luggage, sit down, and the
partition function seen by remaining passengers is modified to reflect this
fact. I discuss the various model parameters and make qualitative comparisons
of this passenger boarding model with models which involve assigned seats. This
model can also be used to predict the probability that certain seats will be
occupied at different times during the boarding process. These results may be
of value to industry professionals as a useful description of this boarding
method. However, it also has significant value as a pedagogical tool since it
is a relatively unusual application of undergraduate level physics and it
describes a situation with which many students and faculty may be familiar.Comment: version 1: 4 pages 2 figures version 2: 7 pages with 5 figure
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