4,919 research outputs found
Smooth Random Surfaces from Tight Immersions?
We investigate actions for dynamically triangulated random surfaces that
consist of a gaussian or area term plus the {\it modulus} of the gaussian
curvature and compare their behavior with both gaussian plus extrinsic
curvature and ``Steiner'' actions.Comment: 7 page
An Effective Model for Crumpling in Two Dimensions?
We investigate the crumpling transition for a dynamically triangulated random
surface embedded in two dimensions using an effective model in which the
disordering effect of the variables on the correlations of the normals is
replaced by a long-range ``antiferromagnetic'' term. We compare the results
from a Monte Carlo simulation with those obtained for the standard action which
retains the 's and discuss the nature of the phase transition.Comment: 5 page
Cluster variation - Pade` approximants method for the simple cubic Ising model
The cluster variation - Pade` approximant method is a recently proposed tool,
based on the extrapolation of low/high temperature results obtained with the
cluster variation method, for the determination of critical parameters in
Ising-like models. Here the method is applied to the three-dimensional simple
cubic Ising model, and new results, obtained with an 18-site basic cluster, are
reported. Other techniques for extracting non-classical critical exponents are
also applied and their results compared with those by the cluster variation -
Pade` approximant method.Comment: 8 RevTeX pages, 3 PostScript figure
Recommended from our members
Using clinical cases to guide healthcare.
Evidence-based practice (EBP) has been the gold standard in healthcare for nearly three centuries and aims to assist physicians in providing the safest and most effective healthcare for their patients. The well-established hierarchy of evidence lists systematic reviews and meta-analyses at the top however these methodologies are not always appropriate or possible and in these instances case-control studies, case series and case reports are utilised to support EBP. Case-control studies allow simultaneous study of multiple risk factors and can be performed rapidly and relatively cheaply. A recent example was during the Coronavirus pandemic where case-control studies were used to assess the efficacy of personal protective equipment for healthcare workers. Case series and case reports also play a role in EBP and are particularly useful to study rare diseases such as inflammatory bowel disease in transgender and gender non-conforming individuals. They are also vital in generating and disseminating early signals and encouraging further research. Whilst these methodologies have weaknesses, particularly with regards to bias and loss of patient confidentiality for rare pathologies, they have an important part to play in EBP and when appropriately utilised can significantly impact upon clinical practice
Beam spin asymmetries in deeply virtual Compton scattering (DVCS) with CLAS at 4.8 GeV
We report measurements of the beam spin asymmetry in deeply virtual Compton scattering (DVCS) at an electron beam energy of 4.8 GeV using the CLAS detector at the Thomas Jefferson National Accelerator Facility. The DVCS beam spin asymmetry has been measured in a wide range of kinematics, 1.0 \u3c Q(2) \u3c 2.8 (GeV/c)(2), 0.12 \u3c x(B) \u3c 0.48, and 0.1 \u3c -t \u3c 0.8 (GeV/c)(2), using the reaction (e) over right arrow - \u3e e\u27pX. The number of H(e, e\u27gamma p) and H(e, e\u27pi(0)p) events are separated in each (Q(2), x(B), t) bin by a fit to the line shape of the H(e, e\u27p) X M(x)(2) distribution. The validity of the method was studied in detail using experimental and simulated data. It was shown that with the achieved missing mass squared resolution and the available statistics, the separation of DVCS-Bethe-Heitler and pi(0) events can reliably be done with less than 5% uncertainty. Also, the Q(2) and t dependences of the sin phi moments of the asymmetry are extracted and compared with theoretical calculations
Quenched Random Graphs
Spin models on quenched random graphs are related to many important
optimization problems. We give a new derivation of their mean-field equations
that elucidates the role of the natural order parameter in these models.Comment: 9 pages, report CPTH-A264.109
Dynamic Critical Behavior of the Swendsen-Wang Algorithm: The Two-Dimensional 3-State Potts Model Revisited
We have performed a high-precision Monte Carlo study of the dynamic critical
behavior of the Swendsen-Wang algorithm for the two-dimensional 3-state Potts
model. We find that the Li-Sokal bound ()
is almost but not quite sharp. The ratio seems to diverge
either as a small power () or as a logarithm.Comment: 35 pages including 3 figures. Self-unpacking file containing the
LaTeX file, the needed macros (epsf.sty, indent.sty, subeqnarray.sty, and
eqsection.sty) and the 3 Postscript figures. Revised version fixes a
normalization error in \xi (with many thanks to Wolfhard Janke for finding
the error!). To be published in J. Stat. Phys. 87, no. 1/2 (April 1997
Monte Carlo Renormalization of the 3-D Ising model: Analyticity and Convergence
We review the assumptions on which the Monte Carlo renormalization technique
is based, in particular the analyticity of the block spin transformations. On
this basis, we select an optimized Kadanoff blocking rule in combination with
the simulation of a d=3 Ising model with reduced corrections to scaling. This
is achieved by including interactions with second and third neighbors. As a
consequence of the improved analyticity properties, this Monte Carlo
renormalization method yields a fast convergence and a high accuracy. The
results for the critical exponents are y_H=2.481(1) and y_T=1.585(3).Comment: RevTeX, 4 PostScript file
On the Stability of the Mean-Field Glass Broken Phase under Non-Hamiltonian Perturbations
We study the dynamics of the SK model modified by a small non-hamiltonian
perturbation. We study aging, and we find that on the time scales investigated
by our numerical simulations it survives a small perturbation (and is destroyed
by a large one). If we assume we are observing a transient behavior the scaling
of correlation times versus the asymmetry strength is not compatible with the
one expected for the spherical model. We discuss the slow power law decay of
observable quantities to equilibrium, and we show that for small perturbations
power like decay is preserved. We also discuss the asymptotically large time
region on small lattices.Comment: 34 page
- …