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Volumn 2008, Issue 2, 2008, Pages

The non-equilibrium response of the critical Ising model: Universal scaling properties and local scale invariance

Author keywords

Classical Monte Carlo simulations; Critical phenomena; Slow dynamics and ageing (theory)

Indexed keywords


EID: 40549134637     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2008/02/P02013     Document Type: Article
Times cited : (7)

References (48)
  • 2
    • 0037169694 scopus 로고    scopus 로고
    • Nonequilibrium critical dynamics of ferromagnetic spin systems
    • Godrèche C and and Luck J M 2002 Nonequilibrium critical dynamics of ferromagnetic spin systems J. Phys.: Condens. Matter 14 1589 [cond-mat/0109212]
    • (2002) J. Phys.: Condens. Matter , vol.14 , Issue.7 , pp. 1589
    • Godrèche, C.1    Luck, J.M.2
  • 3
    • 22544485158 scopus 로고    scopus 로고
    • Ageing properties of critical systems
    • Calabrese P and Gambassi A 2005 Ageing properties of critical systems J. Phys. A: Math. Gen. 38 R133 [cond-mat/0410357]
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.18 , pp. 133
    • Calabrese, P.1    Gambassi, A.2
  • 4
    • 0034704427 scopus 로고    scopus 로고
    • Response of non-equilibrium systems at criticality: Ferromagnetic models in dimension two and above
    • 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]
    • (2000) J. Phys. A: Math. Gen. , vol.33 , Issue.50 , pp. 9141
    • Godrèche, C.1    Luck, J.M.2
  • 5
    • 0001248802 scopus 로고
    • New universal short-time scaling behaviour of critical relaxation processes
    • Janssen H K, Schaub B and Schmittmann B 1989 New universal short-time scaling behaviour of critical relaxation processes Z. Phys. B 73 539
    • (1989) Z. Phys. , vol.73 , Issue.4 , pp. 539
    • Janssen, H.K.1    Schaub, B.2    Schmittmann, B.3
  • 7
    • 33645079894 scopus 로고    scopus 로고
    • Scaling of the linear response function from zero-field-cooled and thermoremanent magnetization in phase-ordering kinetics
    • 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
    • (2003) Phys. Rev. , vol.68 , pp. 046131
    • Corberi, F.1    Lippiello, E.2    Zannetti, M.3
  • 8
    • 28844502408 scopus 로고    scopus 로고
    • Correction to scaling in the response function of the two-dimensional kinetic Ising model
    • Corberi F, Lippiello E and Zannetti M 2005 Correction to scaling in the response function of the two-dimensional kinetic Ising model Phys. Rev. E 72 056103
    • (2005) Phys. Rev. , vol.72 , pp. 056103
    • Corberi, F.1    Lippiello, E.2    Zannetti, M.3
  • 10
    • 0001669441 scopus 로고    scopus 로고
    • Fluctuation dissipation ratio in the one-dimensional kinetic Ising model
    • Lippiello E and Zannetti M 2000 Fluctuation dissipation ratio in the one-dimensional kinetic Ising model Phys. Rev. E 61 3369
    • (2000) Phys. Rev. , vol.61 , Issue.4 , pp. 3369
    • Lippiello, E.1    Zannetti, M.2
  • 11
    • 0039965055 scopus 로고    scopus 로고
    • Response of non-equilibrium systems at criticality: Exact results for the Glauber-Ising chain
    • 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]
    • (2000) J. Phys. A: Math. Gen. , vol.33 , Issue.6 , pp. 1151
    • Godrèche, C.1    Luck, J.M.2
  • 12
  • 13
    • 0001540551 scopus 로고    scopus 로고
    • On the connection between off-equilibrium response and statics in non disordered coarsening systems
    • 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
    • (2001) Eur. Phys. J. , vol.24 , Issue.3 , pp. 359
    • Corberi, F.1    Lippiello, E.2    Zannetti, M.3
  • 14
    • 84878884767 scopus 로고    scopus 로고
    • Response functions in phase-ordering kinetics
    • Mazenko G F 2004 Response functions in phase-ordering kinetics Phys. Rev. E 69 016114
    • (2004) Phys. Rev. , vol.69 , pp. 016114
    • Mazenko, G.F.1
  • 15
    • 42749107196 scopus 로고    scopus 로고
    • Generic features of the fluctuation dissipation relation in coarsening systems
    • 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
    • (2004) Phys. Rev. , vol.70 , pp. 017103
    • Corberi, F.1    Castellano, C.2    Lippiello, E.3    Zannetti, M.4
  • 16
    • 1442306149 scopus 로고    scopus 로고
    • Local scale invariance as dynamical space-time symmetry in phase-ordering kinetics
    • Henkel M and Pleimling M 2003 Local scale invariance as dynamical space-time symmetry in phase-ordering kinetics Phys. Rev. E 68 065101(R)
    • (2003) Phys. Rev. , vol.68
    • Henkel, M.1    Pleimling, M.2
  • 17
    • 79051471016 scopus 로고    scopus 로고
    • Numerical tests of local scale invariance in ageing q-state Potts models
    • Lorenz E and Janke W 2007 Numerical tests of local scale invariance in ageing q-state Potts models Europhys. Lett. 77 10003
    • (2007) Europhys. Lett. , vol.77 , Issue.1 , pp. 10003
    • Lorenz, E.1    Janke, W.2
  • 18
    • 0346505865 scopus 로고
    • Theory of phase-ordering kinetics
    • Bray A J 1994 Theory of phase-ordering kinetics Adv. Phys. 43 357
    • (1994) Adv. Phys. , vol.43 , Issue.3 , pp. 357
    • Bray, A.J.1
  • 20
    • 34547693141 scopus 로고    scopus 로고
    • Autocorrelation functions in phase-ordering kinetics from local scale invariance
    • Henkel M and Baumann F 2007 Autocorrelation functions in phase-ordering kinetics from local scale invariance J. Stat. Mech. P07015
    • (2007) J. Stat. Mech. , vol.2007 , Issue.7 , pp. 07015
    • Henkel, M.1    Baumann, F.2
  • 21
    • 0037078259 scopus 로고    scopus 로고
    • Phenomenology of local scale invariance: From conformal invariance to dynamical scaling
    • Henkel M 2002 Phenomenology of local scale invariance: from conformal invariance to dynamical scaling Nucl. Phys. B 641 405
    • (2002) Nucl. Phys. , vol.641 , Issue.3 , pp. 405
    • Henkel, M.1
  • 22
    • 2342643961 scopus 로고    scopus 로고
    • Local scale-invariance and ageing in noisy systems
    • Picone A and Henkel M 2004 Local scale-invariance and ageing in noisy systems Nucl. Phys. B 688 217
    • (2004) Nucl. Phys. , vol.688 , pp. 217
    • Picone, A.1    Henkel, M.2
  • 23
    • 33846168930 scopus 로고    scopus 로고
    • On the identification of quasiprimary scaling operators in local scale-invariance
    • Henkel M, Enss T and Pleimling M 2006 On the identification of quasiprimary scaling operators in local scale-invariance J. Phys. A: Math. Gen. 39 L589
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.42 , pp. 589
    • Henkel, M.1    Enss, T.2    Pleimling, M.3
  • 24
    • 33645657007 scopus 로고    scopus 로고
    • Local scale invariances in the bosonic contact and pair-contact processes
    • Baumann F, Stoimenov S and Henkel M 2006 Local scale invariances in the bosonic contact and pair-contact processes J. Phys. A: Math. Gen. 39 4095
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.16 , pp. 4095
    • Baumann, F.1    Stoimenov, S.2    Henkel, M.3
  • 25
  • 26
    • 42749099431 scopus 로고    scopus 로고
    • Local scale invariance in the parity conserving non-equilibrium kinetic Ising model
    • Odor G 2006 Local scale invariance in the parity conserving non-equilibrium kinetic Ising model J. Stat. Mech. L11002
    • (2006) J. Stat. Mech. , vol.2006 , Issue.11 , pp. 11002
    • Odor, G.1
  • 27
    • 33947584034 scopus 로고    scopus 로고
    • Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
    • Henkel M 2007 Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance J. Phys.: Condens. Matter 19 065101
    • (2007) J. Phys.: Condens. Matter , vol.19 , Issue.6 , pp. 065101
    • Henkel, M.1
  • 28
    • 33751321447 scopus 로고    scopus 로고
    • Ageing in disordered magnets and local scale invariance
    • Henkel M and Pleimling M 2006 Ageing in disordered magnets and local scale invariance Europhys. Lett. 76 561
    • (2006) Europhys. Lett. , vol.76 , Issue.4 , pp. 561
    • Henkel, M.1    Pleimling, M.2
  • 29
    • 28544433270 scopus 로고    scopus 로고
    • Corrections to local scale invariance in the nonequilibrium dynamics of critical systems: Numerical evidences
    • Pleimling M and Gambassi A 2005 Corrections to local scale invariance in the nonequilibrium dynamics of critical systems: numerical evidences Phys. Rev. B 71 180401(R)
    • (2005) Phys. Rev. , vol.71
    • Pleimling, M.1    Gambassi, A.2
  • 30
    • 37649031350 scopus 로고    scopus 로고
    • Is local scale invariance a generic property of ageing phenomena?
    • Hinrichsen H 2006 Is local scale invariance a generic property of ageing phenomena? J. Stat. Mech. L06001
    • (2006) J. Stat. Mech. , vol.2006 , Issue.6 , pp. 06001
    • Hinrichsen, H.1
  • 31
    • 42749106912 scopus 로고    scopus 로고
    • Ageing in the contact process: Scaling behaviour and universal features
    • Baumann F and Gambassi A 2007 Ageing in the contact process: scaling behaviour and universal features J. Stat. Mech. P01002
    • (2007) J. Stat. Mech. , vol.2007 , Issue.1 , pp. 01002
    • Baumann, F.1    Gambassi, A.2
  • 32
    • 41349111041 scopus 로고    scopus 로고
    • Slow relaxation in the large-N model for phase ordering
    • Corberi F, Lippiello E and Zannetti M 2002 Slow relaxation in the large-N model for phase ordering Phys. Rev. E 65 046136
    • (2002) Phys. Rev. , vol.65 , Issue.4 , pp. 046136
    • Corberi, F.1    Lippiello, E.2    Zannetti, M.3
  • 33
    • 2542487209 scopus 로고    scopus 로고
    • Off equilibrium dynamics in the 2d-XY system
    • Abriet S and Karewski D 2004 Off equilibrium dynamics in the 2d-XY system Eur. Phys. J. B 37 47
    • (2004) Eur. Phys. J. , vol.37 , Issue.1 , pp. 47
    • Abriet, S.1    Karewski, D.2
  • 34
    • 7644228677 scopus 로고    scopus 로고
    • Off equilibrium dynamics in the 3d-XY system
    • Abriet S and Karewski D 2004 Off equilibrium dynamics in the 3d-XY system Eur. Phys. J. B 41 79
    • (2004) Eur. Phys. J. , vol.41 , Issue.1 , pp. 79
    • Abriet, S.1    Karewski, D.2
  • 35
    • 41349111642 scopus 로고    scopus 로고
    • Two-loop critical fluctuation-dissipation ratio for the relaxational dynamics of the O(N) Landau-Ginzburg Hamiltonian
    • Calabrese P and Gambassi A 2002 Two-loop critical fluctuation-dissipation ratio for the relaxational dynamics of the O(N) Landau-Ginzburg Hamiltonian Phys. Rev. E 66 066101 [cond-mat/0207452]
    • (2002) Phys. Rev. , vol.66 , pp. 066101
    • Calabrese, P.1    Gambassi, A.2
  • 36
    • 18744406987 scopus 로고    scopus 로고
    • On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale invariance
    • Henkel M and Pleimling M 2005 On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale invariance J. Phys.: Condens. Matter 17 S1899
    • (2005) J. Phys.: Condens. Matter , vol.17 , Issue.20 , pp. 1899
    • Henkel, M.1    Pleimling, M.2
  • 37
    • 34249291288 scopus 로고    scopus 로고
    • Ageing in one-dimensional coagulation-diffusion processes and the Fredrickson-Andersen model
    • Mayer P and Sollich P 2007 Ageing in one-dimensional coagulation- diffusion processes and the Fredrickson-Andersen model J. Phys. A: Math. Theor. 40 5823
    • (2007) J. Phys. A: Math. Theor. , vol.40 , pp. 5823
    • Mayer, P.1    Sollich, P.2
  • 38
    • 41349093164 scopus 로고    scopus 로고
    • Off-equilibrium generalization of the fluctuation dissipation theorem for Ising spins and measurement of the linear response function
    • Lippiello E, Corberi F and Zannetti M 2005 Off-equilibrium generalization of the fluctuation dissipation theorem for Ising spins and measurement of the linear response function Phys. Rev. E 71 036104
    • (2005) Phys. Rev. , vol.71 , pp. 036104
    • Lippiello, E.1    Corberi, F.2    Zannetti, M.3
  • 39
    • 11644279337 scopus 로고
    • Time-dependent statistics of the Ising model
    • Glauber R J 1963 Time-dependent statistics of the Ising model J. Math. Phys. 4 294
    • (1963) J. Math. Phys. , vol.4 , Issue.2 , pp. 294
    • Glauber, R.J.1
  • 40
    • 0242594553 scopus 로고    scopus 로고
    • A far-from-equilibrium fluctuation-dissipation relation for an Ising-Glauber-like model
    • Chatelain C 2003 A far-from-equilibrium fluctuation-dissipation relation for an Ising-Glauber-like model J. Phys. A: Math. Gen. 36 10739
    • (2003) J. Phys. A: Math. Gen. , vol.36 , Issue.43 , pp. 10739
    • Chatelain, C.1
  • 41
    • 0001289107 scopus 로고    scopus 로고
    • Monte Carlo computation of correlation times of independent relaxation modes at criticality
    • Nightingale M P and Blöte W W 2000 Monte Carlo computation of correlation times of independent relaxation modes at criticality Phys. Rev. B 62 1089
    • (2000) Phys. Rev. , vol.62 , pp. 1089
    • Nightingale, M.P.1    Blöte, W.W.2
  • 42
    • 33646743511 scopus 로고
    • Damage spreading and critical exponents for 'model A' Ising dynamics
    • Grassberger P 1995 Damage spreading and critical exponents for 'model A' Ising dynamics Physica A 214 547
    • (1995) Physica , vol.214 , Issue.4 , pp. 547
    • Grassberger, P.1
  • 43
    • 85035211007 scopus 로고
    • See also Grassberger P 1995 Physica A 217 227 (erratum)
    • (1995) Physica , vol.217 , Issue.1-2 , pp. 227
    • Grassberger, P.1
  • 44
    • 45849155197 scopus 로고    scopus 로고
    • Aging in ferromagnetic systems at criticality near four dimensions
    • Calabrese P and Gambassi A 2002 Aging in ferromagnetic systems at criticality near four dimensions Phys. Rev. E 65 066120 [cond-mat/0203096]
    • (2002) Phys. Rev. , vol.65 , Issue.6 , pp. 066120
    • Calabrese, P.1    Gambassi, A.2
  • 46
    • 33745933218 scopus 로고    scopus 로고
    • Slow dynamics at critical points: The field-theoretical perspective
    • For a pedagogical introduction see: Gambassi A 2006 Slow dynamics at critical points: the field-theoretical perspective J. Phys.: Conf. Ser. 40 13
    • (2006) J. Phys.: Conf. Ser. , vol.40 , Issue.1 , pp. 13
    • Gambassi, A.1
  • 47
    • 0001407169 scopus 로고    scopus 로고
    • Out of equilibrium dynamics in spin-glasses and other glassy systems
    • Bouchaud J P, Cugliandolo L F, Kurchan J and Mézard M 1998 Out of equilibrium dynamics in spin-glasses and other glassy systems Spin Glasses and Random Fields (Directions in Condensed Matter Physics vol 12) ed A P Young (Singapore: World Scientific) [cond-mat/9702070]
    • (1998) Spin Glasses and Random Fields
    • Bouchaud, J.P.1    Cugliandolo, L.F.2    Kurchan, J.3    Mézard, M.4


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