On the application of the Critical Minimum Energy Subspace method to disordered systems
Laura Hernandez (Laboratoire de Physique Theorique et Modelisation,, UMR CNRS-Universite de Cergy-Pontoise, France), Horacio Ceva (Comision, Nacional de Energia Atomica, Buenos Aires, Argentina)
TL;DR
This paper evaluates the effectiveness of the Critical Minimum Energy Subspace (CMES) method in disordered systems, highlighting potential issues when applied to models with complex free energy landscapes, based on comparisons with Wang-Landau simulations.
Contribution
The paper analyzes the application of the CMES method to disordered systems and discusses potential problems in complex free energy landscapes, providing insights into its limitations.
Findings
CMES can be problematic in complex free energy landscapes
Comparison with Wang-Landau shows limitations of CMES in disordered systems
Identifies specific issues in applying CMES to the 3D Random Field Ising Model
Abstract
We discuss the recent application to strongly disordered systems of the Critical Minimum Energy Subspace (CMES) method, used to limit the energy subspace of the Wang-Landau sampling. We compare with our results on the 3D Random Field Ising Model obtained by a multi-range Wang-Landau simulation in the whole energy range. We point out at some problems that may arise when applying the CMES scheme to models having a complex free energy landscape. PACS numbers: 02.70.Tt,02.70.Rr,05.50.+q, 64.60.Cn, 64.60.Fr, 75.10.Hk
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