3,548 research outputs found
Stochastic Analysis of Synchronization in a Supermarket Refrigeration System
Display cases in supermarket systems often exhibit synchronization, in which
the expansion valves in the display cases turn on and off at exactly the same
time. The study of the influence of switching noise on synchronization in
supermarket refrigeration systems is the subject matter of this work. For this
purpose, we model it as a hybrid system, for which synchronization corresponds
to a periodic trajectory. Subsequently, we investigate the influence of
switching noise. We develop a statistical method for computing an intensity
function, which measures how often the refrigeration system stays synchronized.
By analyzing the intensity, we conclude that the increase in measurement
uncertainty yields the decrease at the prevalence of synchronization.Comment: In Proceedings HAS 2014, arXiv:1501.0540
Generic features of modulational instability in nonlocal Kerr media
The modulational instability (MI) of plane waves in nonlocal Kerr media is
studied for a general, localized, response function. It is shown that there
always exists a finite number of well-separated MI gain bands, with each of
them characterised by a unique maximal growth rate. This is a general property
and is demonstrated here for the Gaussian, exponential, and rectangular
response functions. In case of a focusing nonlinearity it is shown that
although the nonlocality tends to suppress MI, it can never remove it
completely, irrespectively of the particular shape of the response function.
For a defocusing nonlinearity the stability properties depend sensitively on
the profile of the response function. It is shown that plane waves are always
stable for response functions with a positive-definite spectrum, such as
Gaussians and exponentials. On the other hand, response functions whose spectra
change sign (e.g., rectangular) will lead to MI in the high wavenumber regime,
provided the typical length scale of the response function exceeds a certain
threshold. Finally, we address the case of generalized multi-component response
functions consisting of a weighted sum of N response functions with known
properties.Comment: 9 pages, 5 figure
Letter from Richmond, CA Shipyard Number Two Special Investigator John Rasmussen regarding Richard Auras\u27s Character, 1945
An August 12, 1945 letter from John Rasmussen, special investigator for the Richmond, CA Shipyard Number Two, addressed To Whom It May Concern, in support of Richard Auras.
Rasmussen says he knows Auras, who is now interned as an alien enemy in Bismarck, ND, as a loyal alien of the United States. He says Auras has not shown signs of negative opinions of the U.S. or its form of government and, given the opportunity, would make a loyal American citizen.
See also:
Petition and Affidavit By Curt Benedict arguing for overturn of denial of release of Richard Auras from Internment, 1946
Letter from Richard Auras to William Langer regarding his internment status decision, 1946https://commons.und.edu/langer-papers/1160/thumbnail.jp
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