84,817 research outputs found
Accelerating Staggered Fermion Dynamics with the Rational Hybrid Monte Carlo (RHMC) Algorithm
Improved staggered fermion formulations are a popular choice for lattice QCD
calculations. Historically, the algorithm used for such calculations has been
the inexact R algorithm, which has systematic errors that only vanish as the
square of the integration step-size. We describe how the exact Rational Hybrid
Monte Carlo (RHMC) algorithm may be used in this context, and show that for
parameters corresponding to current state-of-the-art computations it leads to a
factor of approximately seven decrease in cost as well as having no step-size
errors.Comment: 4 pages, 2 figures, 1 tabl
Exact 2+1 flavour RHMC simulations
We consider the Rational Hybrid Monte Carlo algorithm for performing exact
2+1 flavour fermion simulations. The specific cases of ASQTAD and domain wall
fermions are considered. We find that in both cases the naive performance is
similar to conventional hybrid algorithms.Comment: 3 pages, no figure
Algorithm Shootout: R versus RHMC
We present initial results comparing the RHMC and R algorithms on large
lattices with small quark masses using chiral fermions. We also present results
concerning staggered fermions near the deconfinement/chiral phase transition.
We find that the RHMC algorithm not only eliminates the step-size error of the
R algorithm, but is also considerably more efficient. We discuss several
possibilities for further improvement to the RHMC algorithm.Comment: Proceedings from Lattice 2005 (Dublin
The RHMC algorithm for theories with unknown spectral bounds
The Rational Hybrid Monte Carlo (RHMC) algorithm extends the Hybrid Monte
Carlo algorithm for lattice QCD simulations to situations involving fractional
powers of the determinant of the quadratic Dirac operator. This avoids the
updating increment () dependence of observables which plagues the Hybrid
Molecular-dynamics (HMD) method. The RHMC algorithm uses rational
approximations to fractional powers of the quadratic Dirac operator. Such
approximations are only available when positive upper and lower bounds to the
operator's spectrum are known. We apply the RHMC algorithm to simulations of 2
theories for which a positive lower spectral bound is unknown: lattice QCD with
staggered quarks at finite isospin chemical potential and lattice QCD with
massless staggered quarks and chiral 4-fermion interactions (QCD). A
choice of lower bound is made in each case, and the properties of the RHMC
simulations these define are studied. Justification of our choices of lower
bounds is made by comparing measurements with those from HMD simulations, and
by comparing different choices of lower bounds.Comment: Latex(Revtex 4) 25 pages, 8 postscript figure
Diamond-Like Carbon film from Liquid Gas on Metallic Substrates
Liquid gas was used to produce DLC films on Cu, Al and steel substrates by DC
plasma technique. The absorption in IR reflectance indicates, grown films are
DLC. By deconvolution of room temperature UV-visible spectra of the films grown
at 50 mtorr and 200C, in addition to the spectra lines reported for
CL, PL, PLC and ESR, some new spectra lines were obtained. We also, have seen
exciton absorption line at room temperature.Comment: 6 pages, Postscript, 2 figure
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