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Monte Carlo Methods in Statistical Mechanics

by

Gary Reich
Union College, Department of Physics

May 1, 2006
4:45 pm
Bailey Hall 201

Pastries and drinks will be served at 4:30 in Bailey Hall 204


Abstract:

Statistical mechanics is the branch of physics that connects the microscopic forces that one atom exerts on another with the bulk properties of materials made up of large numbers of the atoms. The mathematical difficulties that arise in the field stem from the large scale of the calculations needed [bulk materials often involve 10^20 atoms or more]. An important numerical technique for these calculations is the so called Monte Carlo method, where computer generated "random" numbers are used in contrast to more traditional numerical methods. We will be looking at the generation of random numbers; their use in independent and correlated sampling; and their application to two models of magnetism, percolation and the Ising model.


For additional information, send e-mail to math@union.edu or call (518) 388-6246.
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