Non-equilibrium relaxations: ageing and finite-size effects

被引:1
作者
Henkel, M. [1 ,2 ]
机构
[1] Univ Lorraine Nancy, Lab Phys & Chim Theor, CNRS UMR 7019, BP 70239, F-54506 Vandoeuvre Les Nancy, France
[2] Univ Lisbon, Ctr Fis Teor & Computac, P-1749016 Lisbon, Portugal
关键词
phase transitions; finite-size scaling; dynamic critical phenomena; ageing; exactly solvable models; PHASE-ORDERING KINETICS; SPHERICAL MODEL; PERTURBATION EXPANSION; EQUILIBRIUM DYNAMICS; SCALING LAWS; SPIN-GLASS; SYSTEMS; GROWTH; HYPOTHESIS; COLLAPSE;
D O I
10.5488/CMP.26.13501
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The long-time behaviour of spin-spin correlators in the slow relaxation of systems undergoing phase-ordering kinetics is studied in geometries of finite size. A phenomenological finite-size scaling ansatz is formulated and tested through the exact solution of the kinetic spherical model, quenched to below the critical temperature, in 2 < d < 4 dimensions.
引用
收藏
页码:8 / 18
页数:11
相关论文
共 83 条
  • [1] Off equilibrium dynamics in the 3d-XY system
    Abriet, S
    Karevski, D
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2004, 41 (01) : 79 - 85
  • [2] REACTION-DIFFUSION PROCESSES, CRITICAL-DYNAMICS, AND QUANTUM CHAINS
    ALCARAZ, FC
    DROZ, M
    HENKEL, M
    RITTENBERG, V
    [J]. ANNALS OF PHYSICS, 1994, 230 (02) : 250 - 302
  • [3] ON THE CONJECTURES OF HENKEL AND WESTON
    ALLEN, S
    PATHRIA, RK
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (19): : 5173 - 5176
  • [4] Phase-ordering kinetics in the Allen-Cahn (Model A) class: Universal aspects elucidated by electrically induced transition in liquid crystals
    Almeida, Renan A. L.
    Takeuchi, Kazumasa A.
    [J]. PHYSICAL REVIEW E, 2021, 104 (05)
  • [5] Spin, bond and global fluctuation-dissipation relations in the non-equilibrium spherical ferromagnet
    Annibale, A
    Sollich, P
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (12): : 2853 - 2907
  • [6] Dynamic heterogeneities in critical coarsening: exact results for correlation and response fluctuations in finite-sized spherical models
    Annibale, Alessia
    Sollich, Peter
    [J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009,
  • [7] Barber M. N., 1983, PHASE TRANSITIONS CR, V8, P146
  • [8] CRITICAL PHENOMENA IN SYSTEMS OF FINITE THICKNESS .1. SPHERICAL MODEL
    BARBER, MN
    FISHER, ME
    [J]. ANNALS OF PHYSICS, 1973, 77 (1-2) : 1 - 78
  • [9] Finite size effects and loss of self-averageness in the relaxational dynamics of the spherical Sherrington-Kirkpatrick model
    Barbier, Damien
    Pimenta, Pedro H. de Freitas
    Cugliandolo, Leticia F.
    Stariolo, Daniel A.
    [J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2021, 2021 (07):
  • [10] Kinetics of the long-range spherical model
    Baumann, Florian
    Dutta, Sreedhar B.
    Henkel, Malte
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (27) : 7389 - 7409