Nature of the glassy transition in simulations of the ferromagnetic plaquette ising model

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 3, 2010, Pages

  Davatolhagh, S ^a   Dariush, D ^a   Separdar, L ^a  

^a SHIRAZ UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

CONFIGURATIONAL ENTROPY; CRYSTAL DROPLETS; EQUILIBRATION TIME; FINITE SIZE SCALING; FINITE TEMPERATURES; FIRST-ORDER PHASE TRANSITIONS; FOURTH ORDER CUMULANT; INTERNAL ENERGIES; KAUZMANN TEMPERATURE; KINETIC SPINODAL; MEAN-FIELD; METASTABILITIES; MONTE CARLO SIMULATION; ONE-DIMENSIONAL ISING MODEL; ORDER-PARAMETER; POWER-LAW; SLOW COOLING; SPINODALS; SUPERCOOLED LIQUID STATE; SUPERCOOLED LIQUIDS; TEMPERATURE RANGE; THERMODYNAMIC INTEGRATION; THREE DIMENSIONS; TIME-SCALES; TWO-DIMENSION; TWO-DIMENSIONAL LATTICES; ZERO TEMPERATURES;

COMPUTER SIMULATION; CRYOGENIC LIQUIDS; DROP FORMATION; ENTROPY; ISING MODEL; MONTE CARLO METHODS; NUCLEATION; SCANDIUM; SUPERCOOLING;

TEMPERATURE;

EID: 77749289093     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.031501     Document Type: Article

References (47)

1. S. R. Elliott, Physics of Amorphous Materials, 2nd ed. (Longman Scientific, London, 1990).
2. M. D. Ediger, C. A. Angell, and S. R. Nagel, J. Phys. Chem. 100, 13200 (1996) 10.1021/jp953538d
3. P. G. Debenedetti, Metastable liquids (Princeton University Press, Princeton, 1996).
4. B. Derrida, Phys. Rev. B 24, 2613 (1981) 10.1103/PhysRevB.24.2613
5. D. J. Gross and M. Mezard, Nucl. Phys. B 240, 431 (1984). 10.1016/0550-3213(84)90237-2
6. T. R. Kirkpatrick and P. G. Wolynes, Phys. Rev. A 35, 3072 (1987) 10.1103/PhysRevA.35.3072
7. T. R. Kirkpatrick and D. Thirumalai, Phys. Rev. Lett. 58, 2091 (1987). 10.1103/PhysRevLett.58.2091
8. A. Crisanti, H. Horner, and H. J. Sommers, Z. Phys. B 92, 257 (1993). 10.1007/BF01312184
9. L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173 (1993). 10.1103/PhysRevLett.71.173
10. T. R. Kirkpatrick and D. Thirumalai, Transp. Theory Stat. Phys. 24, 927 (1995) 10.1080/00411459508203940
11. A. Crisanti and F. Ritort, Physica A 280, 155 (2000). 10.1016/S0378-4371(99)00632-9 (Pubitemid 30857526)
12. J. P. Bouchaud and M. Mezard, J. Phys. I (France) 4, 1109 (1994) 10.1051/jp1:1994240
13. E. Marinari, G. Paris, and F. Ritort, J. Phys. A 27, 7615 (1994). 10.1088/0305-4470/27/23/010
14. J. D. Shore and J. P. Sethna, Phys. Rev. B 43, 3782 (1991). 10.1103/PhysRevB.43.3782
15. A. Lipowski, J. Phys. A 30, 7365 (1997). 10.1088/0305-4470/30/21/012 (Pubitemid 127145908)
16. D. Espriu, M. Baig, D. A. Johnston, and R. P. C. K. Malmini, J. Phys. A 30, 405 (1997) 10.1088/0305-4470/30/2/008
17. A. Lipowski and D. A. Johnston, J. Phys. A 33, 4451 (2000) 10.1088/0305-4470/33/24/304
18. A. Lipowski and D. A. Johnston, Phys. Rev. E 61, 6375 (2000). 10.1103/PhysRevE.61.6375 (Pubitemid 30895340)
19. M. R. Swift, H. Bokil, R. D. M. Travasso, and A. J. Bray, Phys. Rev. B 62, 11494 (2000). 10.1103/PhysRevB.62.11494 (Pubitemid 32373611)
20. S. Franz, M. Mezard, F. Ricci-Teresenghi, M. Weigt, and R. Zecchina, Europhys. Lett. 55, 465 (2001). 10.1209/epl/i2001-00438-4
21. A. Cavagna, I. Giardina, and T. S. Grigera, Europhys. Lett. 61, 74 (2003) 10.1209/epl/i2003-00247-9
22. A. Cavagna, I. Giardina, and T. S. Grigera, J. Chem. Phys. 118, 6974 (2003). 10.1063/1.1560937
23. G. K. Savvidy and F. J. Wegner, Nucl. Phys. B 413, 609 (1994). 10.1016/0550-3213(94)90003-5
24. F. E. Simon, Z. Anorg. Algemein. Chem. 203, 217 (1931).
25. W. Kauzmann, Chem. Rev. 43, 219 (1948). 10.1021/cr60135a002
26. G. Adam and J. H. Gibbs, J. Chem. Phys. 43, 139 (1965) 10.1063/1.1696442
27. J. H. Gibbs and E. A. DiMarzio, J. Chem. Phys. 28, 373 (1958). 10.1063/1.1744141
28. In this paper, we do not distinguish between the configurational entropy, i.e., the entropic contribution due to the presence of an exponentially large number of different glassy states, and the excess entropy of the liquid over the crystal as the two are believed to be proportional.
29. C. A. Angell and S. Borick, J. Non-Cryst. Solids 307-310, 393 (2002). 10.1016/S0022-3093(02)01500-4 (Pubitemid 34862268)
30. P. G. Wolynes, J. Res. Natl. Inst. Stand. Technol. 102, 187 (1997).
31. G. K. Savvidy and K. G. Savvidy, Phys. Lett. B 324, 72 (1994). 10.1016/0370-2693(94)00114-6
32. E. Ising, Z. Phys. 31, 253 (1925). 10.1007/BF02980577
33. See, e.g., D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics, 2nd ed. (Cambridge University Press, Cambridge, 2005).
34. A. Buhot and J. P. Garrahan, Phys. Rev. Lett. 88, 225702 (2002). 10.1103/PhysRevLett.88.225702
35. N. Kawashima and A. P. Young, Phys. Rev. B 53, R484 (1996). 10.1103/PhysRevB.53.R484
36. K. Binder, Phy. Rev. Lett. 47, 693 (1981) 10.1103/PhysRevLett.47.693
37. K. Binder, Z. Phys. B 43, 119 (1981). 10.1007/BF01293604
38. C. A. Angell, J. Non-Cryst. Solids 102, 205 (1988) 10.1016/0022-3093(88) 90133-0
39. C. A. Angell, Science 267, 1924 (1995). 10.1126/science.267.5206.1924
40. K. Farakos and G. K. Savvidy, Mod. Phys. Lett. A 14, 1753 (1999). 10.1142/S0217732399001851
41. See, e.g., F. F. Abraham, Homogeneous Nucleation Theory (Academic, New York, 1974).
42. T. R. Kirkpatrick, D. Thirumalai, and P. G. Wolynes, Phys. Rev. A 40, 1045 (1989) 10.1103/PhysRevA.40.1045
43. X. Xia and P. G. Wolynes, Phys. Rev. Lett. 86, 5526 (2001). 10.1103/PhysRevLett.86.5526 (Pubitemid 32548957)
44. S. Davatolhagh, Eur. Phys. J. B 59, 291 (2007) 10.1140/epjb/e2007-00291-3
45. S. Davatolhagh, J. Phys.: Condens. Matter 17, S1275 (2005). 10.1088/0953-8984/17/14/017 (Pubitemid 40500142)
46. L. Berthier, Science 310, 1797 (2005) 10.1126/science.1120714
47. M. D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000). 10.1146/annurev. physchem.51.1.99