4,651 research outputs found
Phonons and d-wave pairing in the two-dimensional Hubbard model
We analyze the influence of phonons on the d-wave pairing instability in the
Hubbard model on the two-dimensional square lattice at weak to moderate
interaction U, using a functional renormalization group scheme with
frequency-dependent interaction vertices. As measured by the pairing scale, the
B1g buckling mode enhances the pairing, while other phonon modes decrease the
pairing. When various phonon modes are included together, the net effect on the
scale is small. However, in situations where d-wave superconductivity and other
tendencies, e.g. antiferromagnetism, are closely competing, the combined effect
of different phonons may be able to tip the balance towards pairing.Comment: 4 pages, 3 figure
Stabilizing Superconductivity in Nanowires by Coupling to Dissipative Environments
We present a theory for a finite-length superconducting nanowire coupled to
an environment. We show that in the absence of dissipation quantum phase slips
always destroy superconductivity, even at zero temperature. Dissipation
stabilizes the superconducting phase. We apply this theory to explain the
"anti-proximity effect" recently seen by Tian et. al. in Zinc nanowires.Comment: 4 pages, 3 figure
Choice of computational method for swimming and pumping with nonslender helical filaments at low Reynolds number
The flows induced by biological and artificial helical filaments are important to many possible applications including microscale swimming and pumping. Microscale helices can span a wide range of geometries, from thin bacterial flagella to thick helical bacterial cell bodies. While the proper choice of numerical method is critical for obtaining accurate results, there is little guidance about which method is optimal for a specified filament geometry. Here, using two physical scenarios-a swimmer with a head and a pump-we establish guidelines for the choice of numerical method based on helical radius, pitch, and filament thickness. For a range of helical geometries that encompass most natural and artificial helices, we create benchmark results using a surface distribution of regularized Stokeslets and then evaluate the accuracy of resistive force theory, slender body theory, and a centerline distribution of regularized Stokeslets. For the centerline distribution of regularized Stokeslets or slender body theory, we tabulate appropriate blob size and Stokeslet spacing or segment length, respectively, for each geometry studied. Finally, taking the computational cost of each method into account, we present the optimal choice of numerical method for each filament geometry as a guideline for future investigations involving filament-induced flows. (C) 2016 AIP Publishing LLC
Maximum likelihood estimation by monte carlo simulation:Toward data-driven stochastic modeling
We propose a gradient-based simulated maximum likelihood estimation to estimate unknown parameters in a stochastic model without assuming that the likelihood function of the observations is available in closed form. A key element is to develop Monte Carlo-based estimators for the density and its derivatives for the output process, using only knowledge about the dynamics of the model. We present the theory of these estimators and demonstrate how our approach can handle various types of model structures. We also support our findings and illustrate the merits of our approach with numerical results
Low-Reynolds number swimming in gels
Many microorganisms swim through gels, materials with nonzero zero-frequency
elastic shear modulus, such as mucus. Biological gels are typically
heterogeneous, containing both a structural scaffold (network) and a fluid
solvent. We analyze the swimming of an infinite sheet undergoing transverse
traveling wave deformations in the "two-fluid" model of a gel, which treats the
network and solvent as two coupled elastic and viscous continuum phases. We
show that geometric nonlinearities must be incorporated to obtain physically
meaningful results. We identify a transition between regimes where the network
deforms to follow solvent flows and where the network is stationary. Swimming
speeds can be enhanced relative to Newtonian fluids when the network is
stationary. Compressibility effects can also enhance swimming velocities.
Finally, microscopic details of sheet-network interactions influence the
boundary conditions between the sheet and network. The nature of these boundary
conditions significantly impacts swimming speeds.Comment: 6 pages, 5 figures, submitted to EP
Extended X-Ray Emission from QSOs
We report Chandra ACIS observations of the fields of 4 QSOs showing strong
extended optical emission-line regions. Two of these show no evidence for
significant extended X-ray emission. The remaining two fields, those of 3C
249.1 and 4C 37.43, show discrete (but resolved) X-ray sources at distances
ranging from ~10 to ~40 kpc from the nucleus. In addition, 4C 37.43 also may
show a region of diffuse X-ray emission extending out to ~65 kpc and centered
on the QSO. It has been suggested that extended emission-line regions such as
these may originate in the cooling of a hot intragroup medium. We do not detect
a general extended medium in any of our fields, and the upper limits we can
place on its presence indicate cooling times of at least a few 10^9 years. The
discrete X-ray emission sources we detect cannot be explained as the X-ray jets
frequently seen associated with radio-loud quasars, nor can they be due to
electron scattering of nuclear emission. The most plausible explanation is that
they result from high-speed shocks from galactic superwinds resulting either
from a starburst in the QSO host galaxy or from the activation of the QSO
itself. Evidence from densities and velocities found from studies of the
extended optical emission around QSOs also supports this interpretation.Comment: Accepted by ApJ. 9 pages including 5 figure
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