Sampling the density of states

TL;DR

This paper demonstrates that an existing algorithm for continuous models can effectively compute the density of states in discrete models, exemplified by the q=10 Potts model, enabling accurate interface free energy estimation.

Contribution

The paper extends the applicability of a known algorithm to discrete systems, providing a new method for calculating the density of states and interface free energy.

Findings

Successful application to q=10 Potts model

Accurate interface free energy estimation

Algorithm effective for discrete energy spectra

Abstract

It is shown that the algorithm introduced in [1] and conceived to deal with continuous degrees of freedom models is well suited to compute the density of states in models with a discrete energy spectrum too. The q=10 D=2 Potts model is considered as a test case, and it is shown that using the Maxwell construction the interface free energy can be obtained, in the thermodynamic limit, with a good degree of accuracy.