Microcanonical Approach to the Simulation of First-Order Phase Transitions

Abstract

A generalization of the microcanonical ensemble suggests a simple strategy for the simulation of first order phase transitions. At variance with flat-histogram methods, there is no iterative parameters optimization, nor long waits for tunneling between the ordered and the disordered phases. We test the method in the standard benchmark: the Q-states Potts model (Q=10 in 2 dimensions and Q=4 in 3 dimensions), where we develop a cluster algorithm. We obtain accurate results for systems with more than one million of spins, outperforming flat-histogram methods that handle up to tens of thousands of spins.

4 pages, 3 postscript figures

References in corpus (6)

• Optimizing the ensemble for equilibration in broad-histogram Monte Carlo simulations
• Microcanonical Analyses of Peptide Aggregation Processes
• Monte Carlo Study of Phase Transitions in the Bond-Diluted 3D 4-State Potts Model
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• Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions
• Optimized broad-histogram simulations for strong first-order phase transitions: Droplet transitions in the large-Q Potts model
• Microcanonical characterization of first-order phase transitions in a generalized model for aggregation
• Anomalous metastability in a temperature-driven transition
• Squeezed ensemble for systems with first-order phase transitions
• Temperature measurement from perturbations
• Blume-Capel model analysis with microcanonical population annealing method
• Kinked Entropy and Discontinuous Microcanonical Spontaneous Symmetry Breaking
• Random-field-induced disordering mechanism in a disordered ferromagnet: Between the Imry-Ma and the standard disordering mechanism
• Transition barrier at a first-order phase transition in the canonical and microcanonical ensemble
• A cluster Monte Carlo algorithm with a conserved order parameter
• Phase probabilities in first-order transitions using machine learning
• Positive heat capacity in the microcanonical ensemble