Parallel-tempering cluster algorithm for computer simulations of critical phenomena
In finite-size scaling analyses of Monte Carlo simulations of second-order phase transitions one often needs an extended temperature range around the critical point. By combining the parallel-tempering algorithm with cluster updates and an adaptive routine to find the temperature window of interest,...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1 September 2011
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| In: |
Physical review. E, Statistical, nonlinear, and soft matter physics
Year: 2011, Volume: 84, Issue: 3, Pages: 036701 |
| ISSN: | 1550-2376 |
| DOI: | 10.1103/PhysRevE.84.036701 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevE.84.036701 Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevE.84.036701 
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| Author Notes: | Elmar Bittner and Wolfhard Janke |
| Summary: | In finite-size scaling analyses of Monte Carlo simulations of second-order phase transitions one often needs an extended temperature range around the critical point. By combining the parallel-tempering algorithm with cluster updates and an adaptive routine to find the temperature window of interest, we introduce a flexible and powerful method for systematic investigations of critical phenomena. As a result, we gain one to two orders of magnitude in the performance for two- and three-dimensional Ising models in comparison with the recently proposed Wang-Landau recursion for cluster algorithms based on the multibondic algorithm, which is already a great improvement over the standard multicanonical variant. |
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| Item Description: | Gesehen am 13.11.2017 |
| Physical Description: | Online Resource |
| ISSN: | 1550-2376 |
| DOI: | 10.1103/PhysRevE.84.036701 |