903 research outputs found
A novel and precise time domain description of MOSFET low frequency noise due to random telegraph signals
Nowadays, random telegraph signals play an important role in integrated
circuit performance variability, leading for instance to failures in memory
circuits. This problem is related to the successive captures and emissions of
electrons at the many traps stochastically distributed at the silicon-oxide
(Si-SiO2) interface of MOS transistors. In this paper we propose a novel
analytical and numerical approach to statistically describe the fluctuations of
current due to random telegraph signal in time domain. Our results include two
distinct situations: when the density of interface trap density is uniform in
energy, and when it is an u-shape curve as prescribed in literature, here
described as simple quadratic function. We establish formulas for relative
error as function of the parameters related to capture and emission
probabilities. For a complete analysis experimental u-shape curves are used and
compared with the theoretical aproach
The effect of polydispersity on the ordering transition of adsorbed self-assembled rigid rods
Extensive Monte Carlo simulations were carried out to investigate the nature
of the ordering transition of a model of adsorbed self-assembled rigid rods on
the bonds of a square lattice [Tavares et. al., Phys. Rev E 79, 021505 (2009)].
The polydisperse rods undergo a continuous ordering transition that is found to
be in the two-dimensional Ising universality class, as in models where the rods
are monodisperse. This finding is in sharp contrast with the recent claim that
equilibrium polydispersity changes the nature of the phase transition in this
class of models [L`opez et. al., Phys. Rev E 80, 040105(R)(2009)].Comment: 19 pages, 5 figure
Intermolecular Interactions between Encapsulated Aromatic Compounds and the Host Framework of a Crystalline Sponge
The crystalline sponge [{(ZnI2)3(tris(4-pyridyl)-1,3,5-triazine)2·x(solvent)}n]
has been used to produce a
range of novel encapsulation compounds with acetophene,
trans-cinnamaldehyde, naphthalene, anthracene, and benzylcyanide.
Using additional data from previously reported
encapsulation compounds, three systematic series have been
created and analyzed to investigate the behavior of guest
molecules within the sponge framework and identify the
dominant intermolecular interactions
The generator coordinate method in time-dependent density-functional theory: memory made simple
The generator coordinate (GC) method is a variational approach to the quantum
many-body problem in which interacting many-body wave functions are constructed
as superpositions of (generally nonorthogonal) eigenstates of auxiliary
Hamiltonians containing a deformation parameter. This paper presents a
time-dependent extension of the GC method as a new approach to improve existing
approximations of the exchange-correlation (XC) potential in time-dependent
density-functional theory (TDDFT). The time-dependent GC method is shown to be
a conceptually and computationally simple tool to build memory effects into any
existing adiabatic XC potential. As an illustration, the method is applied to
driven parametric oscillations of two interacting electrons in a harmonic
potential (Hooke's atom). It is demonstrated that a proper choice of
time-dependent generator coordinates in conjunction with the adiabatic
local-density approximation reproduces the exact linear and nonlinear
two-electron dynamics quite accurately, including features associated with
double excitations that cannot be captured by TDDFT in the adiabatic
approximation.Comment: 10 pages, 13 figure
Quantifying Rapid Variability in Accreting Compact Objects
I discuss some practical aspects of the analysis of millisecond time
variability X-ray data obtained from accreting neutron stars and black holes.
First I give an account of the statistical methods that are at present commonly
applied in this field. These are mostly based on Fourier techniques. To a large
extent these methods work well: they give astronomers the answers they need.
Then I discuss a number of statistical questions that astronomers don't really
know how to solve properly and that statisticians may have ideas about. These
questions have to do with the highest and the lowest frequency ranges
accessible in the Fourier analysis: how do you determine the shortest time
scale present in the variability, how do you measure steep low-frequency noise.
The point is stressed that in order for any method that resolves these issues
to become popular, it is necessary to retain the capabilities the current
methods already have in quantifying the complex, concurrent variability
processes characteristic of accreting neutron stars and black holes.Comment: To be published in the Proceedings of "Statistical Challenges in
Modern Astronomy II", University Park PA, USA, June 199
A Simple Non-Markovian Computational Model of the Statistics of Soccer Leagues: Emergence and Scaling effects
We propose a novel algorithm that outputs the final standings of a soccer
league, based on a simple dynamics that mimics a soccer tournament. In our
model, a team is created with a defined potential(ability) which is updated
during the tournament according to the results of previous games. The updated
potential modifies a teams' future winning/losing probabilities. We show that
this evolutionary game is able to reproduce the statistical properties of final
standings of actual editions of the Brazilian tournament (Brasileir\~{a}o).
However, other leagues such as the Italian and the Spanish tournaments have
notoriously non-Gaussian traces and cannot be straightforwardly reproduced by
this evolutionary non-Markovian model. A complete understanding of these
phenomena deserves much more attention, but we suggest a simple explanation
based on data collected in Brazil: Here several teams were crowned champion in
previous editions corroborating that the champion typically emerges from random
fluctuations that partly preserves the gaussian traces during the tournament.
On the other hand, in the Italian and Spanish leagues only a few teams in
recent history have won their league tournaments. These leagues are based on
more robust and hierarchical structures established even before the beginning
of the tournament. For the sake of completeness, we also elaborate a totally
Gaussian model (which equalizes the winning, drawing, and losing probabilities)
and we show that the scores of the "Brasileir\~{a}o" cannot be reproduced. Such
aspects stress that evolutionary aspects are not superfluous in our modeling.
Finally, we analyse the distortions of our model in situations where a large
number of teams is considered, showing the existence of a transition from a
single to a double peaked histogram of the final classification scores. An
interesting scaling is presented for different sized tournaments.Comment: 18 pages, 9 figure
An alternative order parameter for the 4-state Potts model
We have investigated the dynamic critical behavior of the two-dimensional
4-state Potts model using an alternative order parameter first used by
Vanderzande [J. Phys. A: Math. Gen. \textbf{20}, L549 (1987)] in the study of
the Z(5) model. We have estimated the global persistence exponent by
following the time evolution of the probability that the considered
order parameter does not change its sign up to time . We have also obtained
the critical exponents , , , and using this alternative
definition of the order parameter and our results are in complete agreement
with available values found in literature.Comment: 6 pages, 6 figure
Variance fluctuations in nonstationary time series: a comparative study of music genres
An important problem in physics concerns the analysis of audio time series
generated by transduced acoustic phenomena. Here, we develop a new method to
quantify the scaling properties of the local variance of nonstationary time
series. We apply this technique to analyze audio signals obtained from selected
genres of music. We find quantitative differences in the correlation properties
of high art music, popular music, and dance music. We discuss the relevance of
these objective findings in relation to the subjective experience of music.Comment: 13 pages, 4 fig
Number counts in homogeneous and inhomogeneous dark energy models
In the simple case of a constant equation of state, redshift distribution of
collapsed structures may constrain dark energy models. Different dark energy
models having the same energy density today but different equations of state
give quite different number counts. Moreover, we show that introducing the
possibility that dark energy collapses with dark matter (``inhomogeneous'' dark
energy) significantly complicates the picture. We illustrate our results by
comparing four dark energy models to the standard -model. We
investigate a model with a constant equation of state equal to -0.8, a phantom
energy model and two scalar potentials (built out of a combination of two
exponential terms). Although their equations of state at present are almost
indistinguishable from a -model, both scalar potentials undergo quite
different evolutions at higher redshifts and give different number counts. We
show that phantom dark energy induces opposite departures from the
-model as compared with the other models considered here. Finally, we
find that inhomogeneous dark energy enhances departures from the
-model with maximum deviations of about 15% for both number counts and
integrated number counts. Larger departures from the -model are
obtained for massive structures which are rare objects making it difficult to
statistically distinguish between models.Comment: 10 pages, 11 figures. Version accepted for publication in A&
Parallel algorithm with spectral convergence for nonlinear integro-differential equations
We discuss a numerical algorithm for solving nonlinear integro-differential
equations, and illustrate our findings for the particular case of Volterra type
equations. The algorithm combines a perturbation approach meant to render a
linearized version of the problem and a spectral method where unknown functions
are expanded in terms of Chebyshev polynomials (El-gendi's method). This
approach is shown to be suitable for the calculation of two-point Green
functions required in next to leading order studies of time-dependent quantum
field theory.Comment: 15 pages, 9 figure
- …