The effective temperature in the quenching of coarsening systems to and to below TC

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 12, 2004, Pages

  Corberi, Federico ^a   Lippiello, Eugenio ^a   Zannetti, Marco ^a  

^a UNIVERSITY OF SALERNO   (Italy)

Author keywords

coarsening processes (theory); slow dynamics and ageing (theory)

Indexed keywords

EID: 24344462656     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2004/12/P12007     Document Type: Review

References (46)

1. For a recent review see Cugliandolo L F 2002 Dynamics of glassy systems Preprint cond-mat/0210312
2. Cugliandolo L F and Kurchan J 1993 Analytical solution of the off-equilibrium dynamics of a long-range spin-glass model Phys. Rev. Lett. 71 173 [cond-mat/9303036]
3. Cugliandolo L F and Kurchan J 1994 On the out-of-equilibrium relaxation of the Sherrington-Kirkpatrick model J. Phys. A: Math. Gen. 27 5749 [cond-mat/9311016] (Pubitemid 24816171)
4. Crisanti A and Ritort F 2003 Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence J. Phys. A: Math. Gen. 36 R181 [cond-mat/0212490]
5. Cugliandolo L F, Kurchan J and Peliti L 1997 Energy flow, partial equilibration, and effective temperatures in systems with slow dynamics Phys. Rev. E 55 3898 [cond-mat/9611044]
6. Sollich P, Fielding S and Mayer P 2002 Fluctuation-dissipation relations and effective temperatures in simple non-mean field systems J. Phys.: Condens. Matter 14 1683 [cond-mat/0111241]
7. Calabrese P and Gambassi A 2004 On the definition of a unique effective temperature for non-equilibrium critical systems Preprint cond-mat/0406289
8. Franz S, Mézard M, Parisi G and Peliti L 1998 Measuring equilibrium properties in aging systems Phys. Rev. Lett. 81 1758 [cond-mat/9803108]
9. Franz S, Mézard M, Parisi G and Peliti L 1999 The response of glassy systems to random perturbations: a bridge between equilibrium and off-equilibrium J. Stat. Phys. 97 459 [cond-mat/9903370]
10. Cugliandolo L F 1999 Effective temperatures out of equilibrium Preprint cond-mat/9903250
11. Parisi G, Ricci-Tersenghi F and Ruiz-Lorenzo J J 1999 Generalized off-equilibrium fluctuation-dissipation relations in random Ising systems Eur. Phys. J. B 11 317 [cond-mat/9811374]
12. Bray A J 1994 Theory of phase-ordering kinetics Adv. Phys. 43 357
13. Godrèche C and Luck J M 2002 Nonequilibrium critical dynamics of ferromagnetic spin systems J. Phys.: Condens. Matter 14 1589 [cond-mat/0109212]
14. Calabrese P and Gambassi A 2004 Ageing properties of critical systems Preprint cond-mat/0410357
15. Lippiello E and Zannetti M 2000 Fluctuation dissipation ratio in the one dimensional kinetic Ising model Phys. Rev. E 61 3369 [cond-mat/0001103]
16. Godrèche C and Luck J M 2000 Response of non-equilibrium systems at criticality: exact results for the Glauber-Ising chain J. Phys. A: Math. Gen. 33 1151 [cond-mat/9911348]
17. Corberi F, Lippiello E and Zannetti M 2002 Slow relaxation in the large N model for phase ordering Phys. Rev. E 65 046136 [cond-mat/0202091] (Pubitemid 40618937)
18. Corberi F, Lippiello E and Zannetti M 2001 On the connection between off-equilibrium response and statics in non-disordered coarsening systems Eur. Phys. J. B 24 359 [cond-mat/0110651] (Pubitemid 33624614)
19. Corberi F, Lippiello E and Zannetti M 2001 Interface fluctuations, bulk fluctuations, and dimensionality in the off-equilibrium response of coarsening systems Phys. Rev. E 63 061506 [cond-mat/0007021]
20. Corberi F, Castellano C, Lippiello E and Zannetti M 2004 Generic features of the fluctuation dissipation relation in coarsening systems Phys. Rev. E 70 017103 [cond-mat/0311046]
21. Corberi F, Lippiello E and Zannetti M 2003 Comment on "Aging, phase ordering and conformal invariance" Phys. Rev. Lett. 90 099601 [cond-mat/0211609]
22. Corberi F, Lippiello E and Zannetti M 2003 Scaling of the linear response function from zero-field-cooled and thermoremanent magnetization in phase-ordering kinetics Phys. Rev. E 68 046131 [cond-mat/0307542]
23. Mazenko G F, Valls O T and Zhang F C 1985 Kinetics of first-order phase transitions: Monte Carlo simulations, renormalization-group methods, and scaling for critical quenches Phys. Rev. B 31 4453
24. Bray A J 1990 Renormalization-group approach to domain-growth scaling Phys. Rev. B 41 6724
25. Hohenberg P C and Halperin B I 1977 Theory of dynamic critical phenomena Rev. Mod. Phys. 49 435
26. For a review see Coniglio A 2000 Geometrical approach to phase transitions in frustrated and unfrustrated systems Physica A 281 129
27. Kosterlitz J M and Thouless D J 1973 Ordering, metastability and phase transitions in two-dimensional systems J. Phys. C: Solid State Phys. 6 1181
28. Bouchaud J P, Cugliandolo L F, Kurchan J and Mézard M 1997 Out of equilibrium dynamics in spin glasses and other glassy systems Spin Glasses and Random Fields ed A P Young (Singapore: World Scientific) [cond-mat/9702070]
29. Janssen H K, Schaub B and Schmittmann B 1989 New universal short-time scaling behavior of critical relaxation processes Z. Phys. B 73 539
30. Mazenko G F 2004 Response functions in phase-ordering kinetics Phys. Rev. E 69 016114 [cond-mat/0308169]
31. Henkel M 2002 Phenomenology of local scale invariance: from conformal invariance to dynamical scaling Nucl. Phys. B 641 405 [hep-th/0205256]
32. Henkel M, Pleimling M, Godrèche C and Luck J M 2001 Aging, phase ordering and conformal invariance Phys. Rev. Lett. 87 265701 [hep-th/0107122]
33. Henkel M, Paessens M and Pleimling M 2004 Scaling of the linear response in simple aging systems without disorder Phys. Rev. E 69 056109 [cond-mat/0310761]
34. Berthier L, Barrat J L and Kurchan J 1999 Response function of coarsening systems Eur. Phys. J. B 11 635 [cond-mat/9903091]
35. Lippiello E, Corberi F and Zannetti M 2004 Off-equilibrium generalization of the fluctuation dissipation theorem for Ising spins and measurement of the linear response function Preprint cond-mat/0407523
36. Barrat A 1998 Monte-Carlo simulations of the violation of the fluctuation-dissipation theorem in domain growth processes Phys. Rev. E 57 3629 [cond-mat/9710069]
37. Cugliandolo L F and Dean D S 1995 Full dynamical solution for a spherical spin glass model J. Phys. A: Math. Gen. 28 4213 [cond-mat/9502075]
38. Godrèche C and Luck J M 2000 Response of non-equilibrium systems at criticality: ferromagnetic models in dimension two and above J. Phys. A: Math. Gen. 33 9141 [cond-mat/0001264]
39. Zippold W, Khun R and Horner H 2000 Non-equilibrium dynamics of simple spherical spin models Eur. Phys. J. B 13 531 [cond-mat/9904329]
40. Franz S and Virasoro M A 2000 Quasi-equilibrium interpretation of ageing dynamics J. Phys. A: Math. Gen. 33 891 [cond-mat/9907438]
41. Mazenko G F and Zannetti M 1984 Growth of order in a system with continuous symmetry Phys. Rev. Lett. 53 2106
42. Mazenko G F and Zannetti M 1985 Instability, spinodal decomposition and nucleation in a system with continuous symmetry Phys. Rev. B 32 4565
43. Berthier L, Holdsworth P C W and Sellitto M 2001 Nonequilibrium critical dynamics of the two-dimensional XY model J. Phys. A: Math. Gen. 34 1805 [cond-mat/0012194]
44. Abriet S and Karevski D 2003 Off equilibrium dynamics in 2d-XY system Preprint cond-mat/0309342
45. Abriet S and Karevski D 2004 Off equilibrium dynamics in the 3d-XY system Preprint cond-mat/0405598
46. Blundell R E and Bray A J 1994 Phase-ordering dynamics of the O(n) model: exact predictions and numerical results Phys. Rev. E 49 4925 [cond-mat/9310075]