3,772 research outputs found
Fermi acceleration and suppression of Fermi acceleration in a time-dependent Lorentz Gas
We study some dynamical properties of a Lorentz gas. We have considered both
the static and time dependent boundary. For the static case we have shown that
the system has a chaotic component characterized with a positive Lyapunov
Exponent. For the time-dependent perturbation we describe the model using a
four-dimensional nonlinear map. The behaviour of the average velocity is
considered in two situations (i) non-dissipative and (ii) dissipative. Our
results show that the unlimited energy growth is observed for the
non-dissipative case. However, when dissipation, via damping coefficients, is
introduced the senary changes and the unlimited engergy growth is suppressed.
The behaviour of the average velocity is described using scaling approach
Measuring Online Social Bubbles
Social media have quickly become a prevalent channel to access information,
spread ideas, and influence opinions. However, it has been suggested that
social and algorithmic filtering may cause exposure to less diverse points of
view, and even foster polarization and misinformation. Here we explore and
validate this hypothesis quantitatively for the first time, at the collective
and individual levels, by mining three massive datasets of web traffic, search
logs, and Twitter posts. Our analysis shows that collectively, people access
information from a significantly narrower spectrum of sources through social
media and email, compared to search. The significance of this finding for
individual exposure is revealed by investigating the relationship between the
diversity of information sources experienced by users at the collective and
individual level. There is a strong correlation between collective and
individual diversity, supporting the notion that when we use social media we
find ourselves inside "social bubbles". Our results could lead to a deeper
understanding of how technology biases our exposure to new information
In-flight dissipation as a mechanism to suppress Fermi acceleration
Some dynamical properties of time-dependent driven elliptical-shaped billiard
are studied. It was shown that for the conservative time-dependent dynamics the
model exhibits the Fermi acceleration [Phys. Rev. Lett. 100, 014103 (2008)]. On
the other hand, it was observed that damping coefficients upon collisions
suppress such phenomenon [Phys. Rev. Lett. 104, 224101 (2010)]. Here, we
consider a dissipative model under the presence of in-flight dissipation due to
a drag force which is assumed to be proportional to the square of the
particle's velocity. Our results reinforce that dissipation leads to a phase
transition from unlimited to limited energy growth. The behaviour of the
average velocity is described using scaling arguments.Comment: 4 pages, 5 figure
Dynamics of Snoring Sounds and Its Connection with Obstructive Sleep Apnea
Snoring is extremely common in the general population and when irregular may
indicate the presence of obstructive sleep apnea. We analyze the overnight
sequence of wave packets --- the snore sound --- recorded during full
polysomnography in patients referred to the sleep laboratory due to suspected
obstructive sleep apnea. We hypothesize that irregular snore, with duration in
the range between 10 and 100 seconds, correlates with respiratory obstructive
events. We find that the number of irregular snores --- easily accessible, and
quantified by what we call the snore time interval index (STII) --- is in good
agreement with the well-known apnea-hypopnea index, which expresses the
severity of obstructive sleep apnea and is extracted only from polysomnography.
In addition, the Hurst analysis of the snore sound itself, which calculates the
fluctuations in the signal as a function of time interval, is used to build a
classifier that is able to distinguish between patients with no or mild apnea
and patients with moderate or severe apnea
Influence of boundary conditions on quantum escape
It has recently been established that quantum statistics can play a crucial
role in quantum escape. Here we demonstrate that boundary conditions can be
equally important - moreover, in certain cases, may lead to a complete
suppression of the escape. Our results are exact and hold for arbitrarily many
particles.Comment: 6 pages, 3 figures, 1 tabl
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