Abstract:   Monte Carlo methods use random sampling to perform numerical simulations. We will discuss the use of Monte Carlo methods for the Potts model, which describes the interfacial and bulk energies of different phases within a material. We will give a mathematical description of the system, its energy, and describe how Monte Carlo methods yield a biased navigation through the state space. We will demonstrate algorithms using this technique, and we will point out some of the interesting behavior that can arise. This talk will be accessible to both undergraduate and graduate students.

If you are interested in learning more about the connections between math and materials science, a learning seminar on elasticity theory is starting soon. Contact Brittan Farmer <farbritt@umich.edu> or Kris Reyes <kgre@umich.edu> for more information. 

Speaker:  Brittan Farmer
Institution:  UM

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