Theoretical Physics Colloquium
Two Species Open Exclusion Processes
by Dr. Arvind Ayyer (Univ. of California, Davis)
Tuesday, June 14, 2011
from
to
(Asia/Kolkata)
at Colaba Campus ( AG69 )
at Colaba Campus ( AG69 )
| Description |
In joint work with E. R. Speer and J. L. Lebowitz, we consider two-species variants of the totally asymmetric simple exclusion process (TASEP) on a finite one-dimensional lattice. Introducing one more class of particle is not as arbitrary as it may seem at first bite: Second-class particles were discovered to be very useful in understanding the behaviour of shock profiles in the single species TASEP. Most of the time will be spent discussing an "integrable" variant in which second-class particles are not allowed to leave. Time permitting, we will consider other variants which permit exact analysis. The speaker is an Aryabhata Visitor of the Department of Theoretical Physics. The Aryabhata Visitorship has been established in 2011 to invite outstanding young investigators in different areas of Theoretical Physics to visit the DTP for an extended period -- preferably a month or so -- and interact with faculty, post-doctoral fellows and students. During their visit, Aryabhata Visitors are required to deliver a series of at least three or four lectures on their research topic and related areas. Whenever possible the first lecture in the series should be a Theoretical Physics Colloquium aimed at a wide audience of theoreticians. Researchers who have completed 2 -- 8 years after their Ph.D. are eligible for this award. Nominations can be made by any faculty member of the DTP. The visitorship is named after the ancient Indian mathematician-astronomer Aryabhata (circa 476-550 CE). His most famous surviving manuscript, the Aryabhatiya, was written at the age of 23. He made several mathematical breakthroughs in arithmetic, algebra and trigonometry while his astronomical research investigated the motion of the solar system, eclipses and sidereal motions. Aryabhata argued that the apparent movement of the stars is not a rotation of the sky, as was then believed, but a relative motion caused by the rotation of the earth. The modern name of the sine function originated with him, and he correctly computed the value of \pi to five decimal places. |
| Material: |
