Forum for Science, Industry and Business

Sponsored by:     3M 
Search our Site:

 

U of T Study Expands Understanding of Diffusion

22.05.2003


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 T’s 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 team’s 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 study’s 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 Premier’s Research Award of Excellence. CONTACT: Professor Robert McCann, Department of Mathematics, (currently in Texas) 512-232-7761 or 512-477-1246, mccann@math.utoronto.ca or Nicolle Wahl, U of T public affairs, 416-978-6974, nicolle.wahl@utoronto.ca

Nicolle Wahl | University of Toronto
Further information:
http://www.utoronto.ca

More articles from Studies and Analyses:

nachricht Researchers simplify tiny structures' construction drip by drip
12.11.2018 | Princeton University, Engineering School

nachricht Mandibular movement monitoring may help improve oral sleep apnea devices
06.11.2018 | Elsevier

All articles from Studies and Analyses >>>

The most recent press releases about innovation >>>

Die letzten 5 Focus-News des innovations-reports im Überblick:

Im Focus: A Leap Into Quantum Technology

Faster and secure data communication: This is the goal of a new joint project involving physicists from the University of Würzburg. The German Federal Ministry of Education and Research funds the project with 14.8 million euro.

In our digital world data security and secure communication are becoming more and more important. Quantum communication is a promising approach to achieve...

Im Focus: Research icebreaker Polarstern begins the Antarctic season

What does it look like below the ice shelf of the calved massive iceberg A68?

On Saturday, 10 November 2018, the research icebreaker Polarstern will leave its homeport of Bremerhaven, bound for Cape Town, South Africa.

Im Focus: Penn engineers develop ultrathin, ultralight 'nanocardboard'

When choosing materials to make something, trade-offs need to be made between a host of properties, such as thickness, stiffness and weight. Depending on the application in question, finding just the right balance is the difference between success and failure

Now, a team of Penn Engineers has demonstrated a new material they call "nanocardboard," an ultrathin equivalent of corrugated paper cardboard. A square...

Im Focus: Coping with errors in the quantum age

Physicists at ETH Zurich demonstrate how errors that occur during the manipulation of quantum system can be monitored and corrected on the fly

The field of quantum computation has seen tremendous progress in recent years. Bit by bit, quantum devices start to challenge conventional computers, at least...

Im Focus: Nanorobots propel through the eye

Scientists developed specially coated nanometer-sized vehicles that can be actively moved through dense tissue like the vitreous of the eye. So far, the transport of nano-vehicles has only been demonstrated in model systems or biological fluids, but not in real tissue. The work was published in the journal Science Advances and constitutes one step further towards nanorobots becoming minimally-invasive tools for precisely delivering medicine to where it is needed.

Researchers of the “Micro, Nano and Molecular Systems” Lab at the Max Planck Institute for Intelligent Systems in Stuttgart, together with an international...

All Focus news of the innovation-report >>>

Anzeige

Anzeige

VideoLinks
Industry & Economy
Event News

“3rd Conference on Laser Polishing – LaP 2018” Attracts International Experts and Users

09.11.2018 | Event News

On the brain’s ability to find the right direction

06.11.2018 | Event News

European Space Talks: Weltraumschrott – eine Gefahr für die Gesellschaft?

23.10.2018 | Event News

 
Latest News

In focus: Peptides, the “little brothers and sisters” of proteins

12.11.2018 | Life Sciences

Materials scientist creates fabric alternative to batteries for wearable devices

12.11.2018 | Materials Sciences

A two-atom quantum duet

12.11.2018 | Physics and Astronomy

VideoLinks
Science & Research
Overview of more VideoLinks >>>