Cross correlations in scaling analyses of phase transitions

Physical Review Letters

Volumn 102, Issue 10, 2009, Pages

  Weigel, Martin ^a,b   Janke, Wolfhard ^c  

^a SAARLAND UNIVERSITY   (Germany)

^b JOHANNES GUTENBERG UNIVERSITY   (Germany)

^c UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

SAMPLING; TIME SERIES;

COMPUTATION TIME; CORRELATION EFFECTS; CRITICAL EXPONENTS; CROSS CORRELATIONS; FINITE-SIZE SCALING ANALYSIS; HIGH PRECISION; IMPORTANCE SAMPLINGS; MONTE CARLO; PHASE TRANSITION POINTS; SCALING ANALYSIS; STATISTICAL FLUCTUATIONS;

PHASE TRANSITIONS;

EID: 63249122581     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.102.100601     Document Type: Article

References (21)

1. P.M. Chaikin and T.C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, England, 2000).
2. L. Bergström and A. Goobar, Cosmology and Particle Astrophysics (Springer, Berlin, 2004).
3. M. Vojta, Rep. Prog. Phys. 66, 2069 (2003). RPPHAG 0034-4885 10.1088/0034-4885/66/12/R01
4. K. Binder and D.P. Landau, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, Cambridge, England, 2005), 2nd ed.
5. A. Pelissetto and E. Vicari, Phys. Rep. 368, 549 (2002). PRPLCM 0370-1573 10.1016/S0370-1573(02)00219-3
6. W. Janke, in Computer Simulations of Surfaces and Interfaces, edited by, B. Dünweg, D.P. Landau, and, A.I. Milchev, NATO Science Series, II. Mathematics, Physics and Chemistry Vol. 114 (Kluwer Academic Publishers, Dordrecht, 2003), p. 111.
7. A.M. Ferrenberg and R.H. Swendsen, Phys. Rev. Lett. 61, 2635 (1988); PRLTAO 0031-9007 10.1103/PhysRevLett.61.2635
8. A.M. Ferrenberg R.H. Swendsen Phys. Rev. Lett. 63, 1195 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.63.1195
9. B.A. Berg and T. Neuhaus, Phys. Rev. Lett. 68, 9 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.68.9
10. B. Efron and R.J. Tibshirani, An Introduction to the Bootstrap (Chapman and Hall, Boca Raton, 1998).
11. B.A. Berg, Markov Chain Monte Carlo Simulations and their Statistical Analysis (World Scientific, Singapore, 2004).
12. A.M. Ferrenberg and D.P. Landau, Phys. Rev. B PRBMDO 0163-1829 44, 5081 (1991). 10.1103/PhysRevB.44.5081
13. M. Hasenbusch, J. Phys. A JPHAC5 0305-4470 32, 4851 (1999). 10.1088/0305-4470/32/26/304
14. H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, and J.J. Ruiz-Lorenzo, J. Phys. A JPHAC5 0305-4470 32, 1 (1999). 10.1088/0305-4470/32/1/004
15. S. Brandt, Data Analysis: Statistical and Computational Methods for Scientists and Engineers (Springer, Berlin, 1998), 3rd ed.
16. W. Janke and T. Sauer, J. Chem. Phys. 107, 5821 (1997). JCPSA6 0021-9606 10.1063/1.474309
17. M. Weigel and W. Janke, Phys. Rev. B PRBMDO 0163-1829 62, 6343 (2000). 10.1103/PhysRevB.62.6343
18. C. Michael, Phys. Rev. D PRVDAQ 0556-2821 49, 2616 (1994). 10.1103/PhysRevD.49.2616
19. H.W.J. Blöte, L.N. Shchur, and A.L. Talapov, Int. J. Mod. Phys. C IJMPEO 0129-1831 10, 1137 (1999). 10.1142/S0129183199000929
20. Advanced Computer Simulation Approaches for Soft Matter Sciences, edited by, C. Holm, and, K. Kremer, (Springer, Berlin, 2005), Vols. 1-2.
21. Order, Disorder, and Criticality, edited by, Y. Holovatch, (World Scientific, Singapore, 2007), Vols. 1-2.