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
Diagnoses: When Are Several Opinions Better Than One?
19.07.2016 | Max-Planck-Institut für Bildungsforschung
High in calories and low in nutrients when adolescents share pictures of food online
07.04.2016 | University of Gothenburg
The Fraunhofer Institute for Organic Electronics, Electron Beam and Plasma Technology FEP has been developing various applications for OLED microdisplays based on organic semiconductors. By integrating the capabilities of an image sensor directly into the microdisplay, eye movements can be recorded by the smart glasses and utilized for guidance and control functions, as one example. The new design will be debuted at Augmented World Expo Europe (AWE) in Berlin at Booth B25, October 18th – 19th.
“Augmented-reality” and “wearables” have become terms we encounter almost daily. Both can make daily life a little simpler and provide valuable assistance for...
With the help of artificial intelligence, chemists from the University of Basel in Switzerland have computed the characteristics of about two million crystals made up of four chemical elements. The researchers were able to identify 90 previously unknown thermodynamically stable crystals that can be regarded as new materials. They report on their findings in the scientific journal Physical Review Letters.
Elpasolite is a glassy, transparent, shiny and soft mineral with a cubic crystal structure. First discovered in El Paso County (Colorado, USA), it can also be...
For the first time, Fraunhofer IKTS shows additively manufactured hardmetal tools at WorldPM 2016 in Hamburg. Mechanical, chemical as well as a high heat resistance and extreme hardness are required from tools that are used in mechanical and automotive engineering or in plastics and building materials industry. Researchers at the Fraunhofer Institute for Ceramic Technologies and Systems IKTS in Dresden managed the production of complex hardmetal tools via 3D printing in a quality that are in no way inferior to conventionally produced high-performance tools.
Fraunhofer IKTS counts decades of proven expertise in the development of hardmetals. To date, reliable cutting, drilling, pressing and stamping tools made of...
At AKL’16, the International Laser Technology Congress held in May this year, interest in the topic of process control was greater than expected. Appropriately, the event was also used to launch the Industry Working Group for Process Control in Laser Material Processing. The group provides a forum for representatives from industry and research to initiate pre-competitive projects and discuss issues such as standards, potential cost savings and feasibility.
In the age of industry 4.0, laser technology is firmly established within manufacturing. A wide variety of laser techniques – from USP ablation and additive...
Every three years, the plastics industry gathers at K, the international trade fair for plastics and rubber in Düsseldorf. The Fraunhofer Institute for Laser Technology ILT will also be attending again and presenting many innovative technologies, such as for joining plastics and metals using ultrashort pulse lasers. From October 19 to 26, you can find the Fraunhofer ILT at the joint Fraunhofer booth SC01 in Hall 7.
K is the world’s largest trade fair for the plastics and rubber industry. As in previous years, the organizers are expecting 3,000 exhibitors and more than...
23.09.2016 | Event News
20.09.2016 | Event News
16.09.2016 | Event News
23.09.2016 | Life Sciences
23.09.2016 | Health and Medicine
23.09.2016 | Life Sciences