3,836 research outputs found
Analysis of the Threshold for Energy Consumption in Displacement of Random Sensors
Consider mobile sensors placed randomly in dimensional unit cube for
fixed The sensors have identical sensing range, say We are
interested in moving the sensors from their initial random positions to new
locations so that every point in the unit cube is within the range of at least
one sensor, while at the same time each pair of sensors is placed at
interference distance greater or equal to Suppose the displacement of the
th sensor is a distance . As a \textit{energy consumption} for the
displacement of a set of sensors we consider the total displacement
defined as the sum for some constant
The main contribution of this paper can be summarized as follows. For the
case of unit interval we \textit{explain a threshold} around the sensing radius
equal to and the interference distance equal to
for the expected minimum total displacement. For the sensors placed in the
unit square we \textit{explain a threshold} around the square sensing radius
equal to and the interference distance equal to
for the expected minimum total displacement
Model for Spreading of Liquid Monolayers
Manipulating fluids at the nanoscale within networks of channels or chemical
lanes is a crucial challenge in developing small scale devices to be used in
microreactors or chemical sensors. In this context, ultra-thin (i.e.,
monolayer) films, experimentally observed in spreading of nano-droplets or upon
extraction from reservoirs in capillary rise geometries, represent an extreme
limit which is of physical and technological relevance since the dynamics is
governed solely by capillary forces. In this work we use kinetic Monte Carlo
(KMC) simulations to analyze in detail a simple, but realistic model proposed
by Burlatsky \textit{et al.} \cite{Burlatsky_prl96,Oshanin_jml} for the
two-dimensional spreading on homogeneous substrates of a fluid monolayer which
is extracted from a reservoir. Our simulations confirm the previously predicted
time-dependence of the spreading, , with as
the average position of the advancing edge at time , and they reveal a
non-trivial dependence of the prefactor on the strength of
inter-particle attraction and on the fluid density at the reservoir as
well as an -dependent spatial structure of the density profile of the
monolayer. The asymptotic density profile at long time and large spatial scale
is carefully analyzed within the continuum limit. We show that including the
effect of correlations in an effective manner into the standard mean-field
description leads to predictions both for the value of the threshold
interaction above which phase segregation occurs and for the density profiles
in excellent agreement with KMC simulations results.Comment: 21 pages, 9 figures, submitted to Phys. Rev.
Dagstuhl Reports : Volume 1, Issue 2, February 2011
Online Privacy: Towards Informational Self-Determination on the Internet (Dagstuhl Perspectives Workshop 11061) : Simone Fischer-Hübner, Chris Hoofnagle, Kai Rannenberg, Michael Waidner, Ioannis Krontiris and Michael Marhöfer Self-Repairing Programs (Dagstuhl Seminar 11062) : Mauro Pezzé, Martin C. Rinard, Westley Weimer and Andreas Zeller Theory and Applications of Graph Searching Problems (Dagstuhl Seminar 11071) : Fedor V. Fomin, Pierre Fraigniaud, Stephan Kreutzer and Dimitrios M. Thilikos Combinatorial and Algorithmic Aspects of Sequence Processing (Dagstuhl Seminar 11081) : Maxime Crochemore, Lila Kari, Mehryar Mohri and Dirk Nowotka Packing and Scheduling Algorithms for Information and Communication Services (Dagstuhl Seminar 11091) Klaus Jansen, Claire Mathieu, Hadas Shachnai and Neal E. Youn
Proceedings of the second "international Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST'14)
The implicit objective of the biennial "international - Traveling Workshop on
Interactions between Sparse models and Technology" (iTWIST) is to foster
collaboration between international scientific teams by disseminating ideas
through both specific oral/poster presentations and free discussions. For its
second edition, the iTWIST workshop took place in the medieval and picturesque
town of Namur in Belgium, from Wednesday August 27th till Friday August 29th,
2014. The workshop was conveniently located in "The Arsenal" building within
walking distance of both hotels and town center. iTWIST'14 has gathered about
70 international participants and has featured 9 invited talks, 10 oral
presentations, and 14 posters on the following themes, all related to the
theory, application and generalization of the "sparsity paradigm":
Sparsity-driven data sensing and processing; Union of low dimensional
subspaces; Beyond linear and convex inverse problem; Matrix/manifold/graph
sensing/processing; Blind inverse problems and dictionary learning; Sparsity
and computational neuroscience; Information theory, geometry and randomness;
Complexity/accuracy tradeoffs in numerical methods; Sparsity? What's next?;
Sparse machine learning and inference.Comment: 69 pages, 24 extended abstracts, iTWIST'14 website:
http://sites.google.com/site/itwist1
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