First-order phase transitions: A study through the parallel tempering method
arXiv:0809.4020 · doi:10.1103/PhysRevE.78.041109
Abstract
We study the applicability of the {\it parallel tempering method} (PT) in the investigation of first- order phase transitions. In this method, replicas of the same system are simulated simultaneously at different temperatures and the configurations of two randomly chosen replicas can occasionally be interchanged. We apply the PT for the Blume-Emery-Griffiths (BEG) model, which displays strong first-order transitions at low temperatures. A precise estimate of coexistence lines is obtained, revealing that the PT may be a successful tool for the characterization of discontinuous transitions.
Physical Review E, 78, 041109 (2008)
References in corpus (11)
- An efficient, multiple range random walk algorithm to calculate the density of states
- Exchange Monte Carlo Method and Application to Spin Glass Simulations
- Simulated Tempering: A New Monte Carlo Scheme
- Multicanonical Ensemble: A New Approach to Simulate First-order Phase Transitions
- Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
- Feedback-optimized parallel tempering Monte Carlo
- Phase changes in 38 atom Lennard-Jones clusters. I: A parallel tempering study in the canonical ensemble
- Phase changes in 38 atom Lennard-Jones clusters. II: A parallel tempering study of equilibrium and dynamic properties in the molecular dynamics and microcanonical
- The incomplete beta function law for parallel tempering sampling of classical canonical systems
- Optimizing Replica Exchange Moves For Molecular Dynamics
- Obtaining pressure versus concentration phase diagrams in spin systems from Monte Carlo simulations
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