12,488 research outputs found
Secular increase of the Astronomical Unit and perihelion precessions as tests of the Dvali-Gabadadze-Porrati multi-dimensional braneworld scenario
An unexpected secular increase of the Astronomical Unit, the length scale of
the Solar System, has recently been reported by three different research groups
(Krasinsky and Brumberg, Pitjeva, Standish). The latest JPL measurements amount
to 7+-2 m cy^-1. At present, there are no explanations able to accommodate such
an observed phenomenon, neither in the realm of classical physics nor in the
usual four-dimensional framework of the Einsteinian General Relativity. The
Dvali-Gabadadze-Porrati braneworld scenario, which is a multi-dimensional model
of gravity aimed to the explanation of the observed cosmic acceleration without
dark energy, predicts, among other things, a perihelion secular shift, due to
Lue and Starkman, of 5 10^-4 arcsec cy^-1 for all the planets of the Solar
System. It yields a variation of about 6 m cy^-1 for the Earth-Sun distance
which is compatible at 1-sigma level with the observed rate of the Astronomical
Unit. The recently measured corrections to the secular motions of the perihelia
of the inner planets of the Solar System are in agreement, at 1-sigma level,
with the predicted value of the Lue-Starkman effect for Mercury and Mars and at
2-sigma level for the Earth.Comment: LaTex2e, 7 pages, no figures, no tables, 13 references. Minor
correction
Microcanonical finite-size scaling in specific heat diverging 2nd order phase transitions
A Microcanonical Finite Site Ansatz in terms of quantities measurable in a
Finite Lattice allows to extend phenomenological renormalization (the so called
quotients method) to the microcanonical ensemble. The Ansatz is tested
numerically in two models where the canonical specific-heat diverges at
criticality, thus implying Fisher-renormalization of the critical exponents:
the 3D ferromagnetic Ising model and the 2D four-states Potts model (where
large logarithmic corrections are known to occur in the canonical ensemble). A
recently proposed microcanonical cluster method allows to simulate systems as
large as L=1024 (Potts) or L=128 (Ising). The quotients method provides
extremely accurate determinations of the anomalous dimension and of the
(Fisher-renormalized) thermal exponent. While in the Ising model the
numerical agreement with our theoretical expectations is impressive, in the
Potts case we need to carefully incorporate logarithmic corrections to the
microcanonical Ansatz in order to rationalize our data.Comment: 13 pages, 8 figure
On the effects of the Dvali-Gabadadze-Porrati braneworld gravity on the orbital motion of a test particle
In this paper we explicitly work out the secular perturbations induced on all
the Keplerian orbital elements of a test body to order O(e^2) in the
eccentricity e by the weak-field long-range modifications of the usual
Newton-Einstein gravity due to the Dvali-Gabadadze-Porrati (DGP) braneworld
model. The Gauss perturbative scheme is used. It turns out that the argument of
pericentre and the mean anomaly are affected by secular rates which are
independent of the semimajor axis of the orbit of the test particle. The first
nonvaishing eccentricity-dependent corrections are of order O(e^2). For
circular orbits the Lue-Starkman (LS) effect on the pericentre is obtained.
Some observational consequences are discussed for the Solar System planetary
mean longitudes lambda which would undergo a 1.2\cdot 10^-3 arcseconds per
century braneworld secular precession. According to recent data analysis over
92 years for the EPM2004 ephemerides, the 1-sigma formal accuracy in
determining the Martian mean longitude amounts to 3\cdot 10^-3 milliarcseconds,
while the braneworld effect over the same time span would be 1.159
milliarcseconds. The major limiting factor is the 2.6\cdot 10^-3 arcseconds per
century systematic error due to the mismodelling in the Keplerian mean motion
of Mars. A suitable linear combination of the mean longitudes of Mars and Venus
may overcome this problem. The formal, 1-sigma obtainable observational
accuracy would be \sim 7%. The systematic error due to the present-day
uncertainties in the solar quadrupole mass moment, the Keplerian mean motions,
the general relativistic Schwarzschild field and the asteroid ring would amount
to some tens of percent.Comment: LaTex2e, 23 pages, 5 tables, 1 figure, 37 references. Second-order
corrections in eccentricity explicitly added. Typos corrected. References
update
Comment on "Evidence of Non-Mean-Field-Like Low-Temperature Behavior in the Edwards-Anderson Spin-Glass Model"
A recent interesting paper [Yucesoy et al. Phys. Rev. Lett. 109, 177204
(2012), arXiv:1206:0783] compares the low-temperature phase of the 3D
Edwards-Anderson (EA) model to its mean-field counterpart, the
Sherrington-Kirkpatrick (SK) model. The authors study the overlap distributions
P_J(q) and conclude that the two models behave differently. Here we notice that
a similar analysis using state-of-the-art, larger data sets for the EA model
(generated with the Janus computer) leads to a very clear interpretation of the
results of Yucesoy et al., showing that the EA model behaves as predicted by
the replica symmetry breaking (RSB) theory.Comment: Version accepted for publication in PRL. 1 page, 1 figur
Weak first order transition in the three-dimensional site-diluted Ising antiferromagnet in a magnetic field
We perform intensive numerical simulations of the three-dimensional
site-diluted Ising antiferromagnet in a magnetic field at high values of the
external applied field. Even if data for small lattice sizes are compatible
with second-order criticality, the critical behavior of the system shows a
crossover from second-order to first-order behavior for large system sizes,
where signals of latent heat appear. We propose "apparent" critical exponents
for the dependence of some observables with the lattice size for a generic
(disordered) first-order phase transition.Comment: Final version, accepted for publicatio
Sequence-dependent thermodynamics of a coarse-grained DNA model
We introduce a sequence-dependent parametrization for a coarse-grained DNA
model [T. E. Ouldridge, A. A. Louis, and J. P. K. Doye, J. Chem. Phys. 134,
085101 (2011)] originally designed to reproduce the properties of DNA molecules
with average sequences. The new parametrization introduces sequence-dependent
stacking and base-pairing interaction strengths chosen to reproduce the melting
temperatures of short duplexes. By developing a histogram reweighting
technique, we are able to fit our parameters to the melting temperatures of
thousands of sequences. To demonstrate the flexibility of the model, we study
the effects of sequence on: (a) the heterogeneous stacking transition of single
strands, (b) the tendency of a duplex to fray at its melting point, (c) the
effects of stacking strength in the loop on the melting temperature of
hairpins, (d) the force-extension properties of single strands and (e) the
structure of a kissing-loop complex. Where possible we compare our results with
experimental data and find a good agreement. A simulation code called oxDNA,
implementing our model, is available as free software.Comment: 15 page
Study of the phase transition in the 3d Ising spin glass from out of equilibrium numerical simulations
Using the decay of the out equilibrium spin-spin correlation function we
compute the equilibrium Edward-Anderson order parameter in the three
dimensional binary Ising spin glass in the spin glass phase. We have checked
that the Edward-Anderson order parameter computed from out of equilibrium
numerical simulations follows with good precision the critical law as
determined in experiments and in numerical studies at equilibrium. We have also
studied the dependence of the order parameter with the lattice size. Finally we
present a large time study of the scaling of the off-equilibrium
fluctuation-dissipation relations.Comment: 14 pages, 7 Postscript figure
An infrared approach to Reggeization
We present a new approach to Reggeization of gauge amplitudes based on the
universal properties of their infrared singularities. Using the "dipole
formula", a compact ansatz for all infrared singularities of massless
amplitudes, we study Reggeization of singular contributions to high-energy
amplitudes for arbitrary color representations, and any logarithmic accuracy.
We derive leading-logarithmic Reggeization for general cross-channel color
exchanges, and we show that Reggeization breaks down for the imaginary part of
the amplitude at next-to-leading logarithms and for the real part at
next-to-next-to-leading logarithms. Our formalism applies to multiparticle
amplitudes in multi-Regge kinematics, and constrains possible corrections to
the dipole formula starting at three loops.Comment: 4 page
Coagulation reaction in low dimensions: Revisiting subdiffusive A+A reactions in one dimension
We present a theory for the coagulation reaction A+A -> A for particles
moving subdiffusively in one dimension. Our theory is tested against numerical
simulations of the concentration of particles as a function of time
(``anomalous kinetics'') and of the interparticle distribution function as a
function of interparticle distance and time. We find that the theory captures
the correct behavior asymptotically and also at early times, and that it does
so whether the particles are nearly diffusive or very subdiffusive. We find
that, as in the normal diffusion problem, an interparticle gap responsible for
the anomalous kinetics develops and grows with time. This corrects an earlier
claim to the contrary on our part.Comment: The previous version was corrupted - some figures misplaced, some
strange words that did not belong. Otherwise identica
The GALANTE Photometric System
This paper describes the characterization of the GALANTE photometric system,
a seven intermediate- and narrow-band filter system with a wavelength coverage
from 3000 to 9000 . We describe the photometric system
presenting the full sensitivity curve as a product of the filter sensitivity,
CCD, telescope mirror, and atmospheric transmission curves, as well as some
first- and second-order moments of this sensitivity function. The GALANTE
photometric system is composed of four filters from the J-PLUS photometric
system, a twelve broad-to-narrow filter system, and three exclusive filters,
specifically designed to measure the physical parameters of stars such as
effective temperature , , metallicity, colour excess
, and extinction type . Two libraries, the Next
Generation Spectral Library (NGSL) and the one presented in Ma\'iz Apell\'aniz
& Weiler (2018), have been used to determine the transformation equations
between the Sloan Digital Sky Survey ()
photometry and the GALANTE photometric system. We will use this transformation
to calibrate the zero points of GALANTE images. To this end, a preliminary
photometric calibration of GALANTE has been made based on two different
libraries ( DR12 and ATLAS All-Sky Stellar
Reference Catalog, hereinafter ). A comparison between both
zero points is performed leading us to the choice of as the
base catalogue for this calibration, and applied to a field in the Cyg OB2
association.Comment: Accepted in MNRA
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