Relaxational dynamics in 3D randomly diluted Ising models

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2007, Issue 11, 2007, Pages

  Hasenbusch, Martin ^a   Pelissetto, Andrea ^b   Vicari, Ettore ^a  

^a UNIVERSITY OF PISA   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Classical Monte Carlo simulations; Critical exponents and amplitudes (theory); Disordered systems (theory)

Indexed keywords

EID: 38049132731     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2007/11/P11009     Document Type: Article

References (67)

1. Belanger D P 2000 Experimental characterization of the Ising model in disordered antiferromagnets Braz. J. Phys. 30 682 [cond-mat/0009029]
2. Pelissetto A and Vicari E 2002 Critical phenomena and renormalization-group theory Phys. Rep. 368 549 [cond-mat/0012164]
3. Folk R, Holovatch Yu and Yavors'kii T 2003 Critical exponents of a three dimensional weakly diluted quenched Ising model Usp. Fiz. Nauk 173 169 [cond-mat/0106468]
4. Folk R, Holovatch Yu and Yavors'kii T 2003 Phys. Usp. 46 175 (translation)
5. Janke W, Berche B, Chatelain C, Berche P E and Hellmund M 2005 Quenched disordered ferromagnets PoS(LAT2005)018
6. Ballesteros H G, Fernndez L A, Martín-Mayor V, Mũoz Sudupe A, Parisi G and Ruiz-Lorenzo J J 1998 Critical exponents of the three dimensional diluted Ising model Phys. Rev. B 58 2740 [cond-mat/9802273]
7. Hasenbusch M, Parisen Toldin F, Pelissetto A and Vicari E 2007 Universality class of 3D site-diluted and bond-diluted Ising systems J. Stat. Mech. P02016 [cond-mat/0611707]
8. Hasenbusch M, Parisen Toldin F, Pelissetto A and Vicari E 2007 Critical behavior of the three-dimensional J Ising model at the paramagnetic- ferromagnetic transition line Phys. Rev. B 76 094402 [0704.0427] [cond-mat.dis-nn]
9. Calabrese P, Martín-Mayor V, Pelissetto A and Vicari E 2003 The three-dimensional randomly dilute Ising model: Monte Carlo results Phys. Rev. E 68 036136 [cond-mat/0306272]
10. Pelissetto A and Vicari E 2000 Randomly dilute spin models: a six-loop field-theoretic study Phys. Rev. B 62 6393 [cond-mat/0002402]
11. Pakhnin D V and Sokolov A I 2000 Critical exponents for a three-dimensional impure Ising model in the five-loop approximation Pis. Zh. Eksp. Teor. Fiz. 71 600
12. Pakhnin D V and Sokolov A I 2000 JETP Lett. 71 412 (reprinted)
13. Pakhnin D V and Sokolov A I 2000 Five-loop renormalization-group expansions for the three-dimensional n-vector cubic model and critical exponents for impure Ising systems Phys. Rev. B 61 15130 [cond-mat/9912071]
14. Hohenberg P C and Halperin B I 1977 Theory of dynamic critical phenomena Rev. Mod. Phys. 49 435
15. 2 determined via Mössbauer spectroscopy Phys. Rev. B 46 3452
16. 2 Proc. Int. Conf. on Magnetism (ICM) (Paris) J. Physique Coll. 49 C8 1229
17. 2 Phys. Rev. B 34 3513
18. Janssen H K, Oerding K and Sengespeick E 1995 On the crossover to universal criticality in dilute Ising systems J. Phys. A: Math. Gen. 28 6073
19. Calabrese P and Gambassi A 2005 Ageing properties of critical systems J. Phys. A: Math. Gen. 38 R133 [cond-mat/0410357]
20. Folk R and Moser G 2006 Critical dynamics: a field-theoretical approach J. Phys. A: Math. Gen. 39 R207
21. Prudnikov V V and Vakilov A N 1992 Numerical simulation of the critical dynamics of dilute magnetic materials Pis. Zh. Eksp. Teor. Fiz. 55 709
22. Prudnikov V V and Vakilov A N 1992 JETP Lett. 55 741 (translation)
23. Prudnikov V V and Vakilov A N 1992 Computer simulation of the critical dynamics in diluted magnets Zh. Eksp. Teor. Fiz. 103 962
24. Prudnikov V V and Vakilov A N 1993 JETP 76 469 (translation)
25. Heuer H-O 1993 Dynamic scaling of disordered Ising systems J. Phys. A: Math. Gen. 26 L341
26. Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J J 1999 Universality of the off-equilibrium critical dynamics of the three-dimensional diluted Ising model Phys. Rev. E 60 5198 [cond-mat/9903905]
27. Ito N, Ozeki Y and Kitatani H 1999 Non-universal critical behaviour in the ferromagnetic transition of the J Ising model J. Phys. Soc. Japan 68 803
28. Schehr G and Paul R 2005 Universal aging properties at a disordered critical point Phys. Rev. E 72 016105 [cond-mat/0412447]
29. Ivaneyko D, Ilnytskyi J, Berche B and Holovatch Yu 2006 Criticality of the random-site Ising model: Metropolis, Swendsen-Wang and Wolff Monte Carlo algorithms Condens. Matter Phys. (Ukraine) 9 319 [cond-mat/0501291]
30. Ivaneyko D, Ilnytskyi J, Berche B and Holovatch Yu 2006 Local and cluster critical dynamics of the 3d random-site Ising model Physica A 370 163 [cond-mat/0603521]
31. Grinstein G, Ma S-k and Mazenko G F 1977 Dynamics of spins interacting with quenched random impurities Phys. Rev. B 15 258
32. De Dominicis C 1978 Dynamics as a substitute for replicas in systems with quenched random impurities Phys. Rev. B 18 4913
33. Prudnikov V V and Vakilov A N 1992 Critical dynamics of dilute magnets Zh. Eksp. Teor. Fiz. 101 1853
34. Prudnikov V V and Vakilov A N 1992 JETP 74 990 (translation)
35. Prudnikov V V, Belim S V, Osintsev E V and Fedorenko A A 1998 Critical dynamics of disordered magnets in the three-loop approximation Fiz. Tverd. Tela 40 1526
36. Prudnikov V V, Belim S V, Osintsev E V and Fedorenko A A 1998 Phys. Solid State 40 1383 (translation)
37. Prudnikov V V, Belim S V, Ivanov A V, Osintsev E V and Fedorenko A A 1998 Critical dynamics of slightly disordered spin systems Zh. Eksp. Teor. Fiz. 114 972
38. Prudnikov V V, Belim S V, Ivanov A V, Osintsev E V and Fedorenko A A 1998 JETP 87 527 (translation)
39. Blavats'ka V, Dudka M, Folk R and Holovatch Yu 2005 Critical dynamics and effective exponents of magnets with extended impurities Phys. Rev. B 72 064417 [cond-mat/0506644]
40. Prudnikov V V, Prudnikov P V and Krinitsyn A S 2006 Calculations of the dynamical critical exponent using the asymptotic series summation method Teor. Mat. Fiz. 147 137 [cond-mat/0606530]
41. Prudnikov V V, Prudnikov P V and Krinitsyn A S 2006 Theor. Math. Phys. 147 561 (translation)
42. Janssen H K, Schaub B and Schmittmann B 1989 New universal short-time scaling behaviour of critical relaxation processes Z. Phys. B 73 539
43. Oerding K and Janssen H K 1995 Nonequilibrium critical relaxation in dilute Ising systems J. Phys. A: Math. Gen. 28 4271
44. Ballesteros H G, Fernndez L A, Martín-Mayor V, MũozSudupe A, Parisi G and Ruiz-Lorenzo J J 1999 Scaling corrections: site percolation and Ising model in three dimensions J. Phys. A: Math. Gen. 32 1 [cond-mat/9805125]
45. Lorenz C D and Ziff R M 1998 Precise determination of the bond percolation thresholds and finite-size scaling corrections for the sc, fcc, and bcc lattices Phys. Rev. E 57 230 [cond-mat/9710044]
46. Edwards S F and Anderson P W 1975 Theory of spin glasses J. Phys. F: Met. Phys. 5 965
47. Hasenbusch M, Parisen Toldin F, Pelissetto A and Vicari E 2007 Magnetic-glassy multicritical behavior of the three-dimensional J Ising model Phys. Rev. B 76 184202 [0707.2866] [cond-mat.dis-nn]
48. Sokal A D 1997 Monte Carlo methods in statistical mechanics: foundations and new algorithms Functional Integration: Basics and Applications ed C de Witt-Morette, P Cartier and A Folacci (New York: Plenum) pp131-92
49. c Phys. Rev. Lett. 60 720
50. Griffiths R B 1969 Nonanalytic behavior above the critical point in a random Ising ferromagnet Phys. Rev. Lett. 23 17
51. Schwartz M 1978 Upper bounds on cluster distribution functions and the nature of the Griffiths singularity Phys. Rev. B 18 2364
52. Dotsenko V 2006 Griffiths singularity in the random Ising ferromagnet J. Stat. Phys. 122 197
53. Dhar D, Randeria M and Sethna J P 1988 Griffiths singularities in the dynamics of disordered Ising models Europhys. Lett. 5 485
54. Bray A J 1989 Upper and lower bounds on dynamic correlations in the Griffiths phase J. Phys. A: Math. Gen. 22 L81
55. Cesi F, Maes C and Martinelli F 1998 Relaxation of disordered magnets in the Griffiths' regime Commun. Math. Phys. 188 135
56. Madras N and Sokal A D 1988 The pivot algorithm: a highly efficient Monte Carlo method for the self-avoiding walk J. Stat. Phys. 50 109
57. Ballesteros H G, Fernndez L A, Martín-Mayor V, MũozSudupe A, Parisi G and Ruiz-Lorenzo J J 1998 The four dimensional site-diluted Ising model: a finite-size scaling study Nucl. Phys. B 512 681 [hep-lat/9707017]
58. Murtazaev A K, Kamilov I K and Babaev A B 2004 Critical behavior of a cubic lattice 3 D Ising model for systems with quenched disorder Zh. Eksp. Teor. Fiz. 126 1377
59. Murtazaev A K, Kamilov I K and Babaev A B 2004 JETP 99 1201 (translation)
60. Prudnikov V V, Prudnikov P V, Vakilov A N and Krinitsyn A S 2007 Computer simulation of the critical behavior of 3D disordered Ising model Zh. Eksp. Teor. Fiz. 132 417 [0709.1450] [cond-mat.dis-nn]
61. Prudnikov V V, Prudnikov P V, Vakilov A N and Krinitsyn A S 2007 JETP 105 371 (translation)
62. Halperin B I, Hohenberg P C and Ma S-k 1974 Renormalization-group methods for critical dynamics: I. Recursion relations and effects of energy conservation Phys. Rev. B 10 139
63. Halperin B I, Hohenberg P C and Ma S-k 1976 Renormalization-group methods for critical dynamics: II. Detailed analysis of the relaxational models Phys. Rev. B 13 4119
64. Dudka M, Folk R, Holovatch Yu and Moser G 2005 Critical dynamics of diluted relaxational models coupled to a conserved density Phys. Rev. E 72 036107 [cond-mat/0506325]
65. Dudka M, Folk R, Holovatch Yu and Moser G 2006 Model C critical dynamics of disordered magnets J. Phys. A: Math. Gen. 39 7943 [cond-mat/0601262]
66. Wansleben S, Zabolitzky J B and Kalle C 1984 Monte Carlo simulation of Ising models by multispin coding on a vector computer J. Stat. Phys. 37 271
67. Bhanot G, Duke D and Salvador R 1986 Finite-size scaling and the three-dimensional Ising model Phys. Rev. B 33 7841