Feedback-optimized parallel tempering Monte Carlo

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 3, 2006, Pages

  Katzgraber, Helmut G ^a   Trebst, Simon ^a,b   Huse, David A ^c   Troyer, Matthias ^a  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c PRINCETON UNIVERSITY   (United States)

Author keywords

Analysis of algorithms; Classical Monte Carlo simulations; Other numerical approaches

Indexed keywords

EID: 33645673639     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2006/03/P03018     Document Type: Article

References (32)

1. Trebst S, Huse D A and Troyer M 2004 Optimizing the ensemble for equilibration in broad-histogram Monte Carlo simulations Phys. Rev. E 70 046701
2. Dayal P, Trebst S, Wessel S, Würtz D, Troyer M, Sabhapandit S and Coppersmith S N 2004 Performance limitations of flat-histogram methods Phys. Rev. Lett. 92 097201
3. Berg B A and Neuhaus T 1991 Multicanonical algorithms for first order phase transitions Phys. Lett. B 267 249
4. Berg B and Neuhaus T 1992 Multicanonical ensemble: a new approach to simulate first-order phase transitions Phys. Rev. Lett. 68 9
5. de Oliveira P M C, Penna T J P and Herrmann H J 1996 Broad histogram method Braz. J. Phys. 26 677
6. Wang J-S and Swendsen R H 2002 Transition matrix Monte Carlo method J. Stat. Phys. 106 245
7. Wang F and Landau D P 2001 An efficient, multiple-range random walk algorithm to calculate the density of states Phys. Rev. Lett. 86 2050
8. Wang F and Landau D P 2001 Determining the density of states for classical statistical models: a random walk algorithm to produce a flat histogram Phys. Rev. E 64 056101
9. Hukushima K and Nemoto K 1996 Exchange Monte Carlo method and application to spin glass simulations J. Phys. Soc. Japan 65 1604
10. Earl D J and Deem M W 2005 Parallel tempering: theory, applications, and new perspectives Preprint physics/0508111
11. Swendsen R H and Wang J 1986 Replica Monte Carlo simulation of spin-glasses Phys. Rev. Lett. 57 2607
12. Marinari E and Parisi G 1992 Simulated tempering: a new Monte Carlo scheme Europhys. Lett. 19 451
13. Lyubartsev A P, Martsinovski A A, Shevkunov S V and Vorontsov-Velyaminov P N 1992 New approach to Monte Carlo calculation of the free energy: method of expanded ensembles J. Chem. Phys. 96 1776
14. Kofke D A 2004 On the acceptance probability of replica-exchange Monte Carlo trials J. Chem. Phys. 117 6911
15. Kofke D A 2004 Comment on 'the incomplete beta function law for parallel tempering sampling of classical canonical systems' [j. chem. phys. 120, 4119 (2004)] J. Chem. Phys. 121 1167
16. Rathore N, Chopra M and de Pablo J J 2005 Optimal allocation of replicas in parallel tempering simulations J. Chem. Phys. 122 024111
17. Predescu C, Predescu M and Ciobanu C 2004 The incomplete beta function law for parallel tempering sampling of classical canonical systems J. Chem. Phys. 120 4119
18. Predescu C, Predescu M and Ciobanu C 2005 On the efficiency of exchange in parallel tempering Monte Carlo simulations J. Phys. Chem. B 109 4189
19. Kone A and Kofke D A 2005 Selection of temperature intervals for parallel-tempering simulations J. Chem. Phys. 122 206101
20. Diep H T 2005 Frustrated Spin Systems (Singapore: World Scientific)
21. Binder K and Young A P 1986 Spin glasses: experimental facts, theoretical concepts and open questions Rev. Mod. Phys. 58 801
22. Mézard M, Parisi G and Virasoro M A 1987 Spin Glass Theory and Beyond (Singapore: World Scientific)
23. Young A P (ed) 1998 Spin Glasses and Random Fields (Singapore: World Scientific)
24. Wales D J 2003 Energy Landscapes (Cambridge: Cambridge University Press)
25. Edwards S F and Anderson P W 1975 Theory of spin glasses J. Phys. F: Met. Phys. 5 965
26. Bhatt R N and Young A P 1988 Numerical studies of Ising spin glasses in two, three and four dimensions Phys. Rev. B 37 5606
27. Marinari E, Parisi G and Ruiz-Lorenzo J J 1998 On the phase structure of the 3d Edwards Anderson spin glass Phys. Rev. B 58 14852
28. Katzgraber H G, Körner M and Young A P 2006 Detailed study of universality in three-dimensional spin glasses Preprint cond-mat/0602212
29. Gumbel E J 1958 Statistics of Extremes (New York: Columbia University Press)
30. Alder S, Trebst S, Hartmann A K and Troyer M 2004 Dynamics of the Wang Landau algorithm and complexity of rare events for the three-dimensional bimodal Ising spin glass J. Stat. Mech. 7 8
31. Costa M D, Lopes J V and Lopesdos Santos J M B 2005 Analytical study of tunneling times in flat histogram Monte Carlo Europhys. Lett. 72 802
32. Predescu C 2005 private communication