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An averaging procedure for the Coulomb gas

Mon October 2nd 2023, 4:00pm
Sequoia 200
Eric Thoma, Stanford Math

The Coulomb gas is a statistical mechanical model of interacting electric point charges with connections to several areas of math and physics. I will motivate the model and give a simple relationship between the gas and systems of charged points and disks. Consequences of the relationship include various estimates on behavior at small scales and high charge densities with an application to fractional quantum Hall effect physics.