Ergodicity of the LLR method for the Density of States
Guido Cossu, Biagio Lucini, Roberto Pellegrini, Antonio Rago
TL;DR
This paper investigates the ergodic properties of the LLR method for calculating the density of states in lattice gauge theory, demonstrating that replica exchange improves ergodicity and reduces topological freeze-out in Yang Mills SU(3).
Contribution
It introduces the use of replica exchange with the LLR method to enhance ergodicity in lattice gauge theory simulations.
Findings
Replica exchange significantly alleviates topological freeze-out.
LLR method with replica exchange improves ergodicity in Yang Mills SU(3).
Enhanced sampling efficiency in density of states calculations.
Abstract
The LLR method is a novel algorithm that enables us to evaluate the density of states in lattice gauge theory. We present our study of the ergodicity properties of the LLR algorithm for the model of Yang Mills SU(3). We show that the use of the replica exchange method alleviates significantly the topological freeze-out that severely affects other algorithms.
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