Title: Analyticity for Classical Gasses via Recursion
Speaker: Will Perkins
Speaker Info: University of Illinois at Chicago
Brief Description:
Special Note: Open to registered participants only (http://sites.math.northwestern.edu/mwp)
Abstract:
Inspired by techniques from theoretical computer science, we turn to a classical question in statistical physics: for what range of parameters do classical particles in the continuum interacting via a pair potential remain in a gaseous state? Or in other words, for which parameters is the infinite volume pressure analytic? The classical approach to this question is to study convergence of the cluster expansion, but this can be limited by the presence of singularities of the pressure away from the positive real axis in the complex plane. In the case of a repulsive pair potential, we prove analyticity of the pressure in a range of activities that improves the classical bound on absence of phase transition by a factor e^2. Joint work with Marcus Michelen.Date: Saturday, October 10, 2020