A new method developed by a University of Toronto mathematician gives the most precise understanding yet of diffusion, a finding with potential applications to phenomena such as the spread of heat through materials, population modeling and fluid seepage through rock or soil.
"We were able to get much more precise information than anticipated," says Robert McCann, a professor in U of Ts Department of Mathematics and co-investigator of an article in the March 19-23 issue of the Proceedings of the National Academy of Sciences Online Early Edition.
His teams research is based on studies that examined non-linear spreading of heat into the characteristic shape of a bell curve. The slowest factor in this process is known as the rate-determining factor. The studys findings, which show how quickly the shape is achieved, are the first to identify the nature of changes to the rate-determining factor at certain critical events - called transition points - which depend on the nature of the process. "Our calculation illustrates how the rate-determining factors change on each side of the transition point," says McCann. "This equation has been used as a model for a number of different phenomena, including avalanches in sand piles."
The work was co-written with a researcher at the University of Tennessee at Knoxville, and funded by the National Science Foundation, the Natural Sciences and Engineering Research Council of Canada and an Ontario Premiers Research Award of Excellence. CONTACT: Professor Robert McCann, Department of Mathematics, (currently in Texas) 512-232-7761 or 512-477-1246, firstname.lastname@example.org or Nicolle Wahl, U of T public affairs, 416-978-6974, email@example.com
Nicolle Wahl | University of Toronto
Physics of bubbles could explain language patterns
25.07.2017 | University of Portsmouth
Obstructing the ‘inner eye’
07.07.2017 | Friedrich-Schiller-Universität Jena
Strong light-matter coupling in these semiconducting tubes may hold the key to electrically pumped lasers
Light-matter quasi-particles can be generated electrically in semiconducting carbon nanotubes. Material scientists and physicists from Heidelberg University...
Fraunhofer IPA has developed a proximity sensor made from silicone and carbon nanotubes (CNT) which detects objects and determines their position. The materials and printing process used mean that the sensor is extremely flexible, economical and can be used for large surfaces. Industry and research partners can use and further develop this innovation straight away.
At first glance, the proximity sensor appears to be nothing special: a thin, elastic layer of silicone onto which black square surfaces are printed, but these...
3-D shape acquisition using water displacement as the shape sensor for the reconstruction of complex objects
A global team of computer scientists and engineers have developed an innovative technique that more completely reconstructs challenging 3D objects. An ancient...
Physicists have developed a new technique that uses electrical voltages to control the electron spin on a chip. The newly-developed method provides protection from spin decay, meaning that the contained information can be maintained and transmitted over comparatively large distances, as has been demonstrated by a team from the University of Basel’s Department of Physics and the Swiss Nanoscience Institute. The results have been published in Physical Review X.
For several years, researchers have been trying to use the spin of an electron to store and transmit information. The spin of each electron is always coupled...
What is the mass of a proton? Scientists from Germany and Japan successfully did an important step towards the most exact knowledge of this fundamental constant. By means of precision measurements on a single proton, they could improve the precision by a factor of three and also correct the existing value.
To determine the mass of a single proton still more accurate – a group of physicists led by Klaus Blaum and Sven Sturm of the Max Planck Institute for Nuclear...
26.07.2017 | Event News
21.07.2017 | Event News
19.07.2017 | Event News
26.07.2017 | Physics and Astronomy
26.07.2017 | Life Sciences
26.07.2017 | Earth Sciences