2022•Unpublished venueRequires access

Computational thresholds for the fixed-magnetization Ising model

Charlie Carlson, Ewan Davies, Alexandra Kolla, Will Perkins

Abstract

The ferromagnetic Ising model is a model of a magnetic material and a central topic in statistical physics. It also plays a starring role in the algorithmic study of approximate counting: approximating the partition function of the ferromagnetic Ising model with uniform external field is tractable at all temperatures and on all graphs, due to the randomized algorithm of Jerrum and Sinclair.

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Available abstract

Key concepts: Ising model, Partition function (quantum field theory), Square-lattice Ising model, Magnetization, Ferromagnetism, Statistical physics, Condensed matter physics, Partition (number theory)