2,002 research outputs found
Operator product expansion coefficients from the nonperturbative functional renormalization group
Using the nonperturbative functional renormalization group (FRG) within the Blaizot-M\'endez-Galain-Wschebor approximation, we compute the operator product expansion (OPE) coefficient associated with the operators and in the three-dimensional universality class and in the Ising universality class () in dimensions . When available, exact results and estimates from the conformal bootstrap and Monte-Carlo simulations compare extremely well to our results, while FRG is able to provide values across the whole range of and considered
Infrared behavior of interacting bosons at zero temperature
We review the infrared behavior of interacting bosons at zero temperature.
After a brief discussion of the Bogoliubov approximation and the breakdown of
perturbation theory due to infrared divergences, we present two approaches that
are free of infrared divergences -- Popov's hydrodynamic theory and the
non-perturbative renormalization group -- and allow us to obtain the exact
infrared behavior of the correlation functions. We also point out the
connection between the infrared behavior in the superfluid phase and the
critical behavior at the superfluid--Mott-insulator transition in the
Bose-Hubbard model.Comment: 8 pages, 4 figures. Proceedings of the 19th International Laser
Physics Workshop, LPHYS'10 (Foz do Iguacu, Brazil, July 5-9, 2010
Roughness gradient induced spontaneous motion of droplets on hydrophobic surfaces: A lattice Boltzmann study
The effect of a step wise change in the pillar density on the dynamics of
droplets is investigated via three-dimensional lattice Boltzmann simulations.
For the same pillar density gradient but different pillar arrangements, both
motion over the gradient zone as well as complete arrest are observed. In the
moving case, the droplet velocity scales approximately linearly with the
texture gradient. A simple model is provided reproducing the observed linear
behavior. The model also predicts a linear dependence of droplet velocity on
surface tension. This prediction is clearly confirmed via our computer
simulations for a wide range of surface tensions.Comment: 6 pages, 8 figure
Mixture of Kernels and Iterated Semidirect Product of Diffeomorphisms Groups
In the framework of large deformation diffeomorphic metric mapping (LDDMM),
we develop a multi-scale theory for the diffeomorphism group based on previous
works. The purpose of the paper is (1) to develop in details a variational
approach for multi-scale analysis of diffeomorphisms, (2) to generalise to
several scales the semidirect product representation and (3) to illustrate the
resulting diffeomorphic decomposition on synthetic and real images. We also
show that the approaches presented in other papers and the mixture of kernels
are equivalent.Comment: 21 pages, revised version without section on evaluatio
FUSE observations of G226-29: First detection of the H_2 quasi-molecular satellite at 1150A
We present new FUV observations of the pulsating DA white dwarf G226-29
obtained with the Far Ultraviolet Spectroscopic Explorer (FUSE). This ZZ Ceti
star is the brightest one of its class and the coolest white dwarf observed by
FUSE. We report the first detection of the broad quasi-molecular
collision-induced satellite of Ly-beta at 1150 A, an absorption feature that is
due to transitions which take place during close collisions of hydrogen atoms.
The physical interpretation of this feature is based on recent progress of the
line broadening theory of the far wing of Ly-beta. This predicted feature had
never been observed before, even in laboratory spectra.Comment: Accepted for publication in ApJ Letters; 6 pages, 3 figure
Large Deviations Analysis for Distributed Algorithms in an Ergodic Markovian Environment
We provide a large deviations analysis of deadlock phenomena occurring in
distributed systems sharing common resources. In our model transition
probabilities of resource allocation and deallocation are time and space
dependent. The process is driven by an ergodic Markov chain and is reflected on
the boundary of the d-dimensional cube. In the large resource limit, we prove
Freidlin-Wentzell estimates, we study the asymptotic of the deadlock time and
we show that the quasi-potential is a viscosity solution of a Hamilton-Jacobi
equation with a Neumann boundary condition. We give a complete analysis of the
colliding 2-stacks problem and show an example where the system has a stable
attractor which is a limit cycle
Berezinskii-Kosterlitz-Thouless transition and BCS-Bose crossover in the two-dimensional attractive Hubbard model
We study the two-dimensional attractive Hubbard model using the mapping onto
the half-filled repulsive Hubbard model in a uniform magnetic field coupled to
the fermion spins. The low-energy effective action for charge and pairing
fluctuations is obtained in the hydrodynamic regime. We recover the action of a
Bose superfluid where half the fermion density is identified as the conjugate
variable of the phase of the superconducting order parameter. By integrating
out charge fluctuations, we obtain a phase-only action. In the zero-temperature
superconducting state, this action describes a collective phase mode smoothly
evolving from the Anderson-Bogoliubov mode at weak coupling to the Bogoliubov
mode of a Bose superfluid at strong coupling. At finite temperature, the
phase-only action can be used to extract an effective XY model and thus obtain
the Berezinskii-Kosterlitz-Thouless (BKT) phase transition temperature. We also
identify a renormalized classical regime of superconducting fluctuations above
the BKT phase transition, and a regime of incoherent pairs at higher
temperature. Special care is devoted to the nearly half-filled case where the
symmetry of the order parameter is enlarged to SO(3) due to strong charge fluctuations. The low-energy effective action is then an
SO(3) non-linear sigma model with a (symmetry breaking) magnetic field
proportional to the doping. In the strong-coupling limit, the attractive
Hubbard model can be mapped onto the Heisenberg model, from which we recover
the Gross-Pitaevskii equation in the low-density limit.Comment: 31 pages, 12 figures, RevTex4; (v2) changes following referees'
comments, references adde
Robust Estimators in Generalized Pareto Models
This paper deals with optimally-robust parameter estimation in generalized
Pareto distributions (GPDs). These arise naturally in many situations where one
is interested in the behavior of extreme events as motivated by the
Pickands-Balkema-de Haan extreme value theorem (PBHT). The application we have
in mind is calculation of the regulatory capital required by Basel II for a
bank to cover operational risk. In this context the tail behavior of the
underlying distribution is crucial. This is where extreme value theory enters,
suggesting to estimate these high quantiles parameterically using, e.g. GPDs.
Robust statistics in this context offers procedures bounding the influence of
single observations, so provides reliable inference in the presence of moderate
deviations from the distributional model assumptions, respectively from the
mechanisms underlying the PBHT.Comment: 26pages, 6 figure
Superconductivity of Quasi-Two-Dimensional Tight-Binding Electrons in a Strong Magnetic Field
We have investigated the transition temperature of
superconductiv ity in quasi-two-dimensional (Q2D) tight-binding electrons in a
strong magnetic field. When the magnetic field is parallel to 2D conducting
plane, of the Q2D superconductor is shown to increase in an
oscillatory manner as the magnetic field becomes large and to reach in a strong magnetic f ield limit for the spin-triplet superconductor.
We consider the cases of on-site and nearest sites attractive interaction, and
calculate the magnetic field depe ndences of the transition temperature for
various types of symmetry. The first o rder transition from -wave to
-wave is shown to occur at T w hen the magnetic field is
parallel to the direction, which will be observed in a triplet
superconductor, SrRuO.Comment: 13pages,6figure
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