76,931 research outputs found
On the modelling of isothermal gas flows at the microscale
This paper makes two new propositions regarding the modelling of rarefied (non-equilibrium) isothermal gas flows at the microscale. The first is a new test case for benchmarking high-order, or extended, hydrodynamic models for these flows. This standing time-varying shear-wave problem does not require boundary conditions to be specified at a solid surface, so is useful for assessing whether fluid models can capture rarefaction effects in the bulk flow. We assess a number of different proposed extended hydrodynamic models, and we find the R13 equations perform the best in this case.
Our second proposition is a simple technique for introducing non-equilibrium effects caused by the presence of solid surfaces into the computational fluid dynamics framework. By combining a new model for slip boundary conditions with a near-wall scaling of the Navier--Stokes constitutive relations, we obtain a model that is much more accurate at higher Knudsen numbers than the conventional second-order slip model. We show that this provides good results for combined Couette/Poiseuille flow, and that the model can predict the stress/strain-rate inversion that is evident from molecular simulations. The model's generality to non-planar geometries is demonstrated by examining low-speed flow around a micro-sphere. It shows a marked improvement over conventional predictions of the drag on the sphere, although there are some questions regarding its stability at the highest Knudsen numbers
Exploratory topic modeling with distributional semantics
As we continue to collect and store textual data in a multitude of domains,
we are regularly confronted with material whose largely unknown thematic
structure we want to uncover. With unsupervised, exploratory analysis, no prior
knowledge about the content is required and highly open-ended tasks can be
supported. In the past few years, probabilistic topic modeling has emerged as a
popular approach to this problem. Nevertheless, the representation of the
latent topics as aggregations of semi-coherent terms limits their
interpretability and level of detail.
This paper presents an alternative approach to topic modeling that maps
topics as a network for exploration, based on distributional semantics using
learned word vectors. From the granular level of terms and their semantic
similarity relations global topic structures emerge as clustered regions and
gradients of concepts. Moreover, the paper discusses the visual interactive
representation of the topic map, which plays an important role in supporting
its exploration.Comment: Conference: The Fourteenth International Symposium on Intelligent
Data Analysis (IDA 2015
The usefulness of higher-order constitutive relations for describing the Knudsen layer
The Knudsen layer is an important rarefaction phenomenon in gas flows in and around microdevices. Its accurate and efficient modeling is of critical importance in the design of such systems and in predicting their performance. In this paper we investigate the potential that higher-order continuum equations may have to model the Knudsen layer, and compare their predictions to high-accuracy DSMC (direct simulation Monte Carlo) data, as well as a standard result from kinetic theory. We find that, for a benchmark case, the most common higher-order continuum equation sets (Grad's 13 moment, Burnett, and super-Burnett equations) cannot capture the Knudsen layer. Variants of these equation families have, however, been proposed and some of them can qualitatively describe the Knudsen layer structure. To make quantitative comparisons, we obtain additional boundary conditions (needed for unique solutions to the higher-order equations) from kinetic theory. However, we find the quantitative agreement with kinetic theory and DSMC data is only slight
Gauge ambiguities imply Jaynes-Cummings physics remains valid in ultrastrong coupling QED
Ultrastrong-coupling between two-level systems and radiation is important for
both fundamental and applied quantum electrodynamics (QED). Such regimes are
identified by the breakdown of the rotating-wave approximation, which applied
to the quantum Rabi model (QRM) yields the apparently less fundamental
Jaynes-Cummings model (JCM). We show that when truncating the material system
to two levels, each gauge gives a different description whose predictions vary
significantly for ultrastrong-coupling. QRMs are obtained through specific
gauge choices, but so too is a JCM without needing the rotating-wave
approximation. Analysing a circuit QED setup, we find that this JCM provides
more accurate predictions than the QRM for the ground state, and often for the
first excited state as well. Thus, Jaynes-Cummings physics is not restricted to
light-matter coupling below the ultrastrong limit. Among the many implications
is that the system's ground state is not necessarily highly entangled, which is
usually considered a hallmark of ultrastrong-coupling.Comment: 9 pages, plus 20 page Supplementary Information. See also related
independent work arXiv:1805.05339
Understanding the Structural Scaling Relations of Early-Type Galaxies
We use a large suite of hydrodynamical simulations of binary galaxy mergers
to construct and calibrate a physical prescription for computing the effective
radii and velocity dispersions of spheroids. We implement this prescription
within a semi-analytic model embedded in merger trees extracted from the
Bolshoi Lambda-CDM N-body simulation, accounting for spheroid growth via major
and minor mergers as well as disk instabilities. We find that without disk
instabilities, our model does not predict sufficient numbers of intermediate
mass early-type galaxies in the local universe. Spheroids also form earlier in
models with spheroid growth via disk instabilities. Our model correctly
predicts the normalization, slope, and scatter of the low-redshift size-mass
and Fundamental Plane relations for early type galaxies. It predicts a degree
of curvature in the Faber-Jackson relation that is not seen in local
observations, but this could be alleviated if higher mass spheroids have more
bottom-heavy initial mass functions. The model also correctly predicts the
observed strong evolution of the size-mass relation for spheroids out to higher
redshifts, as well as the slower evolution in the normalization of the
Faber-Jackson relation. We emphasize that these are genuine predictions of the
model since it was tuned to match hydrodynamical simulations and not these
observations.Comment: Submitted to MNRA
Adversarial Connective-exploiting Networks for Implicit Discourse Relation Classification
Implicit discourse relation classification is of great challenge due to the
lack of connectives as strong linguistic cues, which motivates the use of
annotated implicit connectives to improve the recognition. We propose a feature
imitation framework in which an implicit relation network is driven to learn
from another neural network with access to connectives, and thus encouraged to
extract similarly salient features for accurate classification. We develop an
adversarial model to enable an adaptive imitation scheme through competition
between the implicit network and a rival feature discriminator. Our method
effectively transfers discriminability of connectives to the implicit features,
and achieves state-of-the-art performance on the PDTB benchmark.Comment: To appear in ACL201
Discrete modes of social information processing predict individual behavior of fish in a group
Individual computations and social interactions underlying collective
behavior in groups of animals are of great ethological, behavioral, and
theoretical interest. While complex individual behaviors have successfully been
parsed into small dictionaries of stereotyped behavioral modes, studies of
collective behavior largely ignored these findings; instead, their focus was on
inferring single, mode-independent social interaction rules that reproduced
macroscopic and often qualitative features of group behavior. Here we bring
these two approaches together to predict individual swimming patterns of adult
zebrafish in a group. We show that fish alternate between an active mode in
which they are sensitive to the swimming patterns of conspecifics, and a
passive mode where they ignore them. Using a model that accounts for these two
modes explicitly, we predict behaviors of individual fish with high accuracy,
outperforming previous approaches that assumed a single continuous computation
by individuals and simple metric or topological weighing of neighbors behavior.
At the group level, switching between active and passive modes is uncorrelated
among fish, yet correlated directional swimming behavior still emerges. Our
quantitative approach for studying complex, multi-modal individual behavior
jointly with emergent group behavior is readily extensible to additional
behavioral modes and their neural correlates, as well as to other species
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