25,109 research outputs found
Equation of state of non-relativistic matter from automated perturbation theory and complex Langevin
We calculate the pressure and density of polarized non-relativistic systems
of two-component fermions coupled via a contact interaction at finite
temperature. For the unpolarized one-dimensional system with an attractive
interaction, we perform a third-order lattice perturbation theory calculation
and assess its convergence by comparing with hybrid Monte Carlo. In that
regime, we also demonstrate agreement with real Langevin. For the repulsive
unpolarized one-dimensional system, where there is a so-called complex phase
problem, we present lattice perturbation theory as well as complex Langevin
calculations. For our studies, we employ a Hubbard-Stratonovich transformation
to decouple the interaction and automate the application of Wick's theorem for
perturbative calculations, which generates the diagrammatic expansion at any
order. We find excellent agreement between the results from our perturbative
calculations and stochastic studies in the weakly interacting regime. In
addition, we show predictions for the strong coupling regime as well as for the
polarized one-dimensional system. Finally, we show a first estimate for the
equation of state in three dimensions where we focus on the polarized unitary
Fermi gas.Comment: 8 pages, 6 figures, proceedings of Lattice2017, Granada, Spai
Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
We present a nonperturbative computation of the equation of state of
polarized, attractively interacting, nonrelativistic fermions in one spatial
dimension at finite temperature. We show results for the density, spin
magnetization, magnetic susceptibility, and Tan's contact. We compare with the
second-order virial expansion, a next-to-leading-order lattice perturbation
theory calculation, and interpret our results in terms of pairing correlations.
Our lattice Monte Carlo calculations implement an imaginary chemical potential
difference to avoid the sign problem. The thermodynamic results on the
imaginary side are analytically continued to obtain results on the real axis.
We focus on an intermediate- to strong-coupling regime, and cover a wide range
of temperatures and spin imbalances.Comment: 14 pages, 19 figures; published versio
Testing Helioseismic-Holography Inversions for Supergranular Flows Using Synthetic Data
Supergranulation is one of the most visible length scales of solar convection
and has been studied extensively by local helioseismology. We use synthetic
data computed with the Seismic Propagation through Active Regions and
Convection (SPARC) code to test regularized-least squares (RLS) inversions of
helioseismic holography measurements for a supergranulation-like flow. The code
simulates the acoustic wavefield by solving the linearized three-dimensional
Euler equations in Cartesian geometry. We model a single supergranulation cell
with a simple, axisymmetric, mass-conserving flow.
The use of simulated data provides an opportunity for direct evaluation of
the accuracy of measurement and inversion techniques. The RLS technique applied
to helioseismic-holography measurements is generally successful in reproducing
the structure of the horizontal flow field of the model supergranule cell. The
errors are significant in horizontal-flow inversions near the top and bottom of
the computational domain as well as in vertical-flow inversions throughout the
domain. We show that the errors in the vertical velocity are due largely to
cross talk from the horizontal velocity.Comment: 22 pages, 12 figues, accepted for publication in Solar Physic
Hadron-nucleus scattering in the local reggeon model with pomeron loops for realistic nuclei
Contribution of simplest loops for hadron-nucleus scattering cross-sections
is studied in the Local Reggeon Field Theory with a supercritical pomeron. It
is shown that inside the nucleus the supercritical pomeron transforms into a
subcritical one, so that perturbative treatment becomes possible. The pomeron
intercept becomes complex, which leads to oscillations in the cross-sections.Comment: 13 pages, 6 figure
Documentation of the Analyses of the Benefits and Costs of Aeronautical Research and Technology models (ABC-ART). Volume 2: Appendices
Fleet variables are defined, and source codes for each module are presented
Documentation of the analysis of the benefits and costs of aeronautical research and technology models, volume 1
The analysis of the benefits and costs of aeronautical research and technology (ABC-ART) models are documented. These models were developed by NASA for use in analyzing the economic feasibility of applying advanced aeronautical technology to future civil aircraft. The methodology is composed of three major modules: fleet accounting module, airframe manufacturing module, and air carrier module. The fleet accounting module is used to estimate the number of new aircraft required as a function of time to meet demand. This estimation is based primarily upon the expected retirement age of existing aircraft and the expected change in revenue passenger miles demanded. Fuel consumption estimates are also generated by this module. The airframe manufacturer module is used to analyze the feasibility of the manufacturing the new aircraft demanded. The module includes logic for production scheduling and estimating manufacturing costs. For a series of aircraft selling prices, a cash flow analysis is performed and a rate of return on investment is calculated. The air carrier module provides a tool for analyzing the financial feasibility of an airline purchasing and operating the new aircraft. This module includes a methodology for computing the air carrier direct and indirect operating costs, performing a cash flow analysis, and estimating the internal rate of return on investment for a set of aircraft purchase prices
Roots of Ehrhart Polynomials of Smooth Fano Polytopes
V. Golyshev conjectured that for any smooth polytope P of dimension at most
five, the roots z\in\C of the Ehrhart polynomial for P have real part equal
to -1/2. An elementary proof is given, and in each dimension the roots are
described explicitly. We also present examples which demonstrate that this
result cannot be extended to dimension six.Comment: 10 page
The Properties of Satellite Galaxies in External Systems. I. Morphology and Structural Parameters
We present the first results of an ongoing project to study the
morphological, kinematical, dynamical, and chemical properties of satellite
galaxies of external giant spiral galaxies. The sample of objects has been
selected from the catalogue by Zaritsky et al. (1997). The paper analyzes the
morphology and structural parameters of a subsample of 60 such objects. The
satellites span a great variety of morphologies and surface brightness
profiles. About two thirds of the sample are spirals and irregulars, the
remaining third being early-types. Some cases showing interaction between pairs
of satellites are presented and briefly discussed.Comment: Accepted for publication in Astrophys. Journal Supp. Se
Constraining the Kahler Moduli in the Heterotic Standard Model
Phenomenological implications of the volume of the Calabi-Yau threefolds on
the hidden and observable M-theory boundaries, together with slope stability of
their corresponding vector bundles, constrain the set of Kaehler moduli which
give rise to realistic compactifications of the strongly coupled heterotic
string. When vector bundles are constructed using extensions, we provide simple
rules to determine lower and upper bounds to the region of the Kaehler moduli
space where such compactifications can exist. We show how small these regions
can be, working out in full detail the case of the recently proposed Heterotic
Standard Model. More explicitely, we exhibit Kaehler classes in these regions
for which the visible vector bundle is stable. On the other hand, there is no
polarization for which the hidden bundle is stable.Comment: 28 pages, harvmac. Exposition improved, references and one figure
added, minor correction
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