666 research outputs found
Comment on "Ising model on a small world network"
In the recent study of the Ising model on a small-world network by A.
P\c{e}kalski [Phys. Rev. E {\bf 64}, 057104 (2001)], a surprisingly small value
of the critical exponent has been obtained for the
temperature dependence of the magnetization. We perform extensive Monte Carlo
simulations of the same model and conclude, via the standard finite-size
scaling of various quantities,that the phase transition in the model is of the
mean-field nature, in contrast to the work by A. P\c{e}kalski but in accord
with other existing studies.Comment: to be published in PR
Dirac Equation at Finite Temperature
In this paper, we propose finite temperature Dirac equation, which can
describe the quantum systems in an arbitrary temperature for a relativistic
particle of spin-1/2. When the temperature T=0, it become Dirac equation. With
the equation, we can study the relativistic quantum systems in an arbitrary
temperature.Comment: arXiv admin note: text overlap with arXiv:1005.2751,
arXiv:hep-ph/0004125, arXiv:hep-ph/0005272 by other author
Two-Dimensional Vortex Lattice Melting
We report on a Monte-Carlo study of two-dimensional Ginzburg-Landau
superconductors in a magnetic field which finds clear evidence for a
first-order phase transition characterized by broken translational symmetry of
the superfluid density. A key aspect of our study is the introduction of a
quantity proportional to the Fourier transform of the superfluid density which
can be sampled efficiently in Landau gauge Monte-Carlo simulations and which
satisfies a useful sum rule. We estimate the latent heat per vortex of the
melting transition to be where is the melting
temperature.Comment: 10 pages (4 figures available on request), RevTex 3.0, IUCM93-00
The High Redshift Integrated Sachs-Wolfe Effect
In this paper we rely on the quasar (QSO) catalog of the Sloan Digital Sky
Survey Data Release Six (SDSS DR6) of about one million photometrically
selected QSOs to compute the Integrated Sachs-Wolfe (ISW) effect at high
redshift, aiming at constraining the behavior of the expansion rate and thus
the behaviour of dark energy at those epochs. This unique sample significantly
extends previous catalogs to higher redshifts while retaining high efficiency
in the selection algorithm. We compute the auto-correlation function (ACF) of
QSO number density from which we extract the bias and the stellar
contamination. We then calculate the cross-correlation function (CCF) between
QSO number density and Cosmic Microwave Background (CMB) temperature
fluctuations in different subsamples: at high z>1.5 and low z<1.5 redshifts and
for two different choices of QSO in a conservative and in a more speculative
analysis. We find an overall evidence for a cross-correlation different from
zero at the 2.7\sigma level, while this evidence drops to 1.5\sigma at z>1.5.
We focus on the capabilities of the ISW to constrain the behaviour of the dark
energy component at high redshift both in the \LambdaCDM and Early Dark Energy
cosmologies, when the dark energy is substantially unconstrained by
observations. At present, the inclusion of the ISW data results in a poor
improvement compared to the obtained constraints from other cosmological
datasets. We study the capabilities of future high-redshift QSO survey and find
that the ISW signal can improve the constraints on the most important
cosmological parameters derived from Planck CMB data, including the high
redshift dark energy abundance, by a factor \sim 1.5.Comment: 20 pages, 18 figures, and 7 table
Supersymetry on the Noncommutative Lattice
Built upon the proposal of Kaplan et.al. [hep-lat/0206109], we construct
noncommutative lattice gauge theory with manifest supersymmetry. We show that
such theory is naturally implementable via orbifold conditions generalizing
those used by Kaplan {\sl et.al.} We present the prescription in detail and
illustrate it for noncommutative gauge theories latticized partially in two
dimensions. We point out a deformation freedom in the defining theory by a
complex-parameter, reminiscent of discrete torsion in string theory. We show
that, in the continuum limit, the supersymmetry is enhanced only at a
particular value of the deformation parameter, determined solely by the size of
the noncommutativity.Comment: JHEP style, 1+22 pages, no figure, v2: two references added, v3:
three more references adde
The effectiveness of web-based technology platforms in facilitating construction project collaboration: A qualitative analysis of 1,152 user reviews
The construction industry accounts for 9% of global GDP. Efforts at addressing construction’s inherent inefficiencies have over the last decade increasingly involved the deployment of web-based collaborative tools. Consequently, much research has been devoted to assessing these platforms; including interoperability, workflow management and technological limits. What has not been considered to date are the views of web-based tool users themselves as to the functionality, potency and usability of the various platforms available on the market. Currently, there are 5,300,000 documented users of web-based collaborative tools. If web-based collaboration is to be further enhanced, the views of users must be known. This study explores this dimension. Financeonline’s top six tools were considered: CoCostruct, PlanGrid, Autodesk BIM 360, Procore, e-builder and Aconex. Around 200 reviews for each tool were collected from ‘Business Software Reviews from Software Advice,’ resulting in a total dataset of 1,152 complete reviews. Text-mining analysis was applied to this dataset, using RapidMiner Studio 7.5. Thirty key terms with a frequency of over 100 occurrences were retrieved; terms such as software, manage, inform, support, easy use, function, track and friendly. These constitute the subject of the reviews. These terms were then analyzed for sentiment qualifiers; either positive or negative. A total of 804 sentiments were positive, 322 negative and 26 neutral. This study thus highlights that while 70% of user reviews of web-based collaborative tools are positive, there remains much room for improvement. Areas for improvement are also indicated by this study
Dynamic instabilities induced by asymmetric influence: Prisoners' dilemma game on small-world networks
A two-dimensional small-world type network, subject to spatial prisoners'
dilemma dynamics and containing an influential node defined as a special node
with a finite density of directed random links to the other nodes in the
network, is numerically investigated. It is shown that the degree of
cooperation does not remain at a steady state level but displays a punctuated
equilibrium type behavior manifested by the existence of sudden breakdowns of
cooperation. The breakdown of cooperation is linked to an imitation of a
successful selfish strategy of the influential node. It is also found that
while the breakdown of cooperation occurs suddenly, the recovery of it requires
longer time. This recovery time may, depending on the degree of steady state
cooperation, either increase or decrease with an increasing number of long
range connections.Comment: 5 pages, 6 figure
Lyapunov spectrum of asymptotically sub-additive potentials
For general asymptotically sub-additive potentials (resp. asymptotically
additive potentials) on general topological dynamical systems, we establish
some variational relations between the topological entropy of the level sets of
Lyapunov exponents, measure-theoretic entropies and topological pressures in
this general situation. Most of our results are obtained without the assumption
of the existence of unique equilibrium measures or the differentiability of
pressure functions. Some examples are constructed to illustrate the
irregularity and the complexity of multifractal behaviors in the sub-additive
case and in the case that the entropy map that is not upper-semi continuous.Comment: 44 page
Fermionic partner of Quintessence field as candidate for dark matter
Quintessence is a possible candidate for dark energy. In this paper we study
the phenomenologies of the fermionic partner of Quintessence, the Quintessino.
Our results show that, for suitable choices of the model parameters, the
Quintessino is a good candidate for cold or warm dark matter. In our scenario,
dark energy and dark matter of the Universe are connected in one chiral
superfield.Comment: 4 pages, 3 figures, version to appear in PR
Introducing Small-World Network Effect to Critical Dynamics
We analytically investigate the kinetic Gaussian model and the
one-dimensional kinetic Ising model on two typical small-world networks (SWN),
the adding-type and the rewiring-type. The general approaches and some basic
equations are systematically formulated. The rigorous investigation of the
Glauber-type kinetic Gaussian model shows the mean-field-like global influence
on the dynamic evolution of the individual spins. Accordingly a simplified
method is presented and tested, and believed to be a good choice for the
mean-field transition widely (in fact, without exception so far) observed on
SWN. It yields the evolving equation of the Kawasaki-type Gaussian model. In
the one-dimensional Ising model, the p-dependence of the critical point is
analytically obtained and the inexistence of such a threshold p_c, for a finite
temperature transition, is confirmed. The static critical exponents, gamma and
beta are in accordance with the results of the recent Monte Carlo simulations,
and also with the mean-field critical behavior of the system. We also prove
that the SWN effect does not change the dynamic critical exponent, z=2, for
this model. The observed influence of the long-range randomness on the critical
point indicates two obviously different hidden mechanisms.Comment: 30 pages, 1 ps figures, REVTEX, accepted for publication in Phys.
Rev.
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