191 research outputs found
Finite-Size Corrections for Ground States of Edwards-Anderson Spin Glasses
Extensive computations of ground state energies of the Edwards-Anderson spin
glass on bond-diluted, hypercubic lattices are conducted in dimensions
d=3,..,7. Results are presented for bond-densities exactly at the percolation
threshold, p=p_c, and deep within the glassy regime, p>p_c, where finding
ground-states becomes a hard combinatorial problem. Finite-size corrections of
the form 1/N^w are shown to be consistent throughout with the prediction
w=1-y/d, where y refers to the "stiffness" exponent that controls the formation
of domain wall excitations at low temperatures. At p=p_c, an extrapolation for
appears to match our mean-field results for these corrections. In
the glassy phase, w does not approach the value of 2/3 for large d predicted
from simulations of the Sherrington-Kirkpatrick spin glass. However, the value
of w reached at the upper critical dimension does match certain mean-field spin
glass models on sparse random networks of regular degree called Bethe lattices.Comment: 6 pages, RevTex4, all ps figures included, corrected and final
version with extended analysis and more data, such as for case d=3. Find
additional information at http://www.physics.emory.edu/faculty/boettcher
Violation of the Fluctuation Dissipation Theorem in Finite Dimensional Spin Glasses
We study the violation of the fluctuation-dissipation theorem in the three
and four dimensional Gaussian Ising spin glasses using on and off equilibrium
simulations. We have characterized numerically the function X(C) that determine
the violation and we have studied its scaling properties. Moreover we have
computed the function x(C) which characterize the breaking of the replica
symmetry directly from equilibrium simulations. The two functions are
numerically equal and in this way we have established that the conjectured
connection between the violation of fluctuation dissipation theorem in the
off-equilibrium dynamics and the replica symmetry breaking at equilibrium holds
for finite dimensional spin glasses. These results point to a spin glass phase
with spontaneously broken replica symmetry in finite dimensional spin glasses.Comment: 13 pages, 4 figures, also available at
http://chimera.roma1.infn.it/index_papers_complex.htm
QCD simulations with staggered fermions on GPUs
We report on our implementation of the RHMC algorithm for the simulation of
lattice QCD with two staggered flavors on Graphics Processing Units, using the
NVIDIA CUDA programming language. The main feature of our code is that the GPU
is not used just as an accelerator, but instead the whole Molecular Dynamics
trajectory is performed on it. After pointing out the main bottlenecks and how
to circumvent them, we discuss the obtained performances. We present some
preliminary results regarding OpenCL and multiGPU extensions of our code and
discuss future perspectives.Comment: 22 pages, 14 eps figures, final version to be published in Computer
Physics Communication
Performance predictability of divide and conquer skeletons
Parallel divide and conquer computations, encompassing a wide variety of applications, can be modeled and encapsulated as a high level primitive called skeleton.
The paper deals with a skeleton designed for parallel divide and conquer algorithms that provide hypercubical communications among processes The paper also introduces an accurate timing model designed for prediction of proposed primitive. The timing analysis model presented here still characterizing the communication time through architecture parameters but introduces a few novelties. The proposal is to introduce different kinds of components to the analytical model by associating a performance constant for each specific conceptual block of the skeleton. The trace files obtained from the execution of the resulting code using the skeleton are used by lineal regression techniques giving us, among other information, the values of the parameters of those blocks. An extended example showing the relative accuracy of the proposed approach concludes the paper.Workshop de Procesamiento Distribuido y Paralelo (WPDP)Red de Universidades con Carreras en Informática (RedUNCI
Four-dimensional pure compact U(1) gauge theory on a spherical lattice
We investigate the confinement-Coulomb phase transition in the
four-dimensional (4D) pure compact U(1) gauge theory on spherical lattices. The
action contains the Wilson coupling beta and the double charge coupling gamma.
The lattice is obtained from the 4D surface of the 5D cubic lattice by its
radial projection onto a 4D sphere, and made homogeneous by means of
appropriate weight factors for individual plaquette contributions to the
action. On such lattices the two-state signal, impeding the studies of this
theory on toroidal lattices, is absent for gamma le 0. Furthermore, here a
consistent finite-size scaling behavior of several bulk observables is found,
with the correlation length exponent nu in the range nu = 0.35 - 40. These
observables include Fisher zeros, specific-heat and cumulant extrema as well as
pseudocritical values of beta at fixed gamma. The most reliable determination
of nu by means of the Fisher zeros gives nu = 0.365(8). The phase transition at
gamma le 0 is thus very probably of 2nd order and belongs to the universality
class of a non-Gaussian fixed point.Comment: 40 pages, LaTeX, 12 figure
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