34 research outputs found
Massively parallel simulations for disordered systems
Simulations of systems with quenched disorder are extremely demanding,
suffering from the combined effect of slow relaxation and the need of
performing the disorder average. As a consequence, new algorithms, improved
implementations, and alternative and even purpose-built hardware are often
instrumental for conducting meaningful studies of such systems. The ensuing
demands regarding hardware availability and code complexity are substantial and
sometimes prohibitive. We demonstrate how with a moderate coding effort leaving
the overall structure of the simulation code unaltered as compared to a CPU
implementation, very significant speed-ups can be achieved from a parallel code
on GPU by mainly exploiting the trivial parallelism of the disorder samples and
the near-trivial parallelism of the parallel tempering replicas. A combination
of this massively parallel implementation with a careful choice of the
temperature protocol for parallel tempering as well as efficient cluster
updates allows us to equilibrate comparatively large systems with moderate
computational resources.Comment: accepted for publication in EPJB, Topical issue - Recent advances in
the theory of disordered system
Cluster Monte Carlo and dynamical scaling for long-range interactions
Many spin systems affected by critical slowing down can be efficiently
simulated using cluster algorithms. Where such systems have long-range
interactions, suitable formulations can additionally bring down the
computational effort for each update from O() to O() or even
O(), thus promising an even more dramatic computational speed-up. Here, we
review the available algorithms and propose a new and particularly efficient
single-cluster variant. The efficiency and dynamical scaling of the available
algorithms are investigated for the Ising model with power-law decaying
interactions.Comment: submitted to Eur. Phys. J Spec. Topic
Finite-size scaling above the upper critical dimension in Ising models with long-range interactions
The correlation length plays a pivotal role in finite-size scaling and
hyperscaling at continuous phase transitions. Below the upper critical
dimension, where the correlation length is proportional to the system length,
both finite-size scaling and hyperscaling take conventional forms. Above the
upper critical dimension these forms break down and a new scaling scenario
appears. Here we investigate this scaling behaviour in one-dimensional Ising
ferromagnets with long-range interactions. We show that the correlation length
scales as a non-trivial power of the linear system size and investigate the
scaling forms. For interactions of sufficiently long range, the disparity
between the correlation length and the system length can be made arbitrarily
large, while maintaining the new scaling scenarios. We also investigate the
behavior of the correlation function above the upper critical dimension and the
modifications imposed by the new scaling scenario onto the associated Fisher
relation.Comment: 16 pages, 5 figure
Scaling and universality in the phase diagram of the 2D Blume-Capel model
We review the pertinent features of the phase diagram of the zero-field
Blume-Capel model, focusing on the aspects of transition order, finite-size
scaling and universality. In particular, we employ a range of Monte Carlo
simulation methods to study the 2D spin-1 Blume-Capel model on the square
lattice to investigate the behavior in the vicinity of the first-order and
second-order regimes of the ferromagnet-paramagnet phase boundary,
respectively. To achieve high-precision results, we utilize a combination of
(i) a parallel version of the multicanonical algorithm and (ii) a hybrid
updating scheme combining Metropolis and generalized Wolff cluster moves. These
techniques are combined to study for the first time the correlation length of
the model, using its scaling in the regime of second-order transitions to
illustrate universality through the observed identity of the limiting value of
with the exactly known result for the Ising universality class.Comment: 16 pages, 7 figures, 1 table, submitted to Eur. Phys. J. Special
Topic
Produção e desenvolvimento radicular de plantas de café 'Conilon' propagadas por sementes e por estacas
Bulk and surface critical behavior of the three-dimensional Ising model and conformal invariance
Schlauchfolien aus Cellulose-Protein-Blends
WO 200145917 A UPAB: 20010927 NOVELTY - Oriented tubular films are manufactured by using a spinning solution comprising a homogeneous solution of a mixture of cellulose and protein(s) in an n-methylmorpholine-n-oxide (NMMO)-water system. DETAILED DESCRIPTION - Manufacture of oriented tubular films includes extrusion of a spinning solution using a ring nozzle over an external air gap into a precipitation bath. The spinning solution includes a homogeneous solution of a mixture of cellulose and protein(s) in NMMO-water system. The homogeneous solution is produced by withdrawing the water of the solution until both the cellulose and protein are dissolved completely. USE - The invention is used to manufacture oriented tubular films used as biodegradable and compostable packaging materials (claimed). Particularly, the films are used as sausage skins for hard sausages, and as peelable skins (claimed). ADVANTAGE - The invention provides strong and flexible tubular films, which make expensive after treatment or surface treatment unnecessary