Aging in the one-dimensional ising model with Glauber dynamics

被引:24
|
作者
Prados, A [1 ]
Brey, JJ [1 ]
SanchezRey, B [1 ]
机构
[1] UNIV HUELVA, ESCUELA POLITECN SUPER, E-21819 LA RABIDA, HUELVA, SPAIN
来源
EUROPHYSICS LETTERS | 1997年 / 40卷 / 01期
关键词
D O I
10.1209/epl/i1997-00411-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the zero-temperature limit of the one-dimensional Ising model with nearest-neighbor interactions and Glauber dynamics. An exact evolution equation is derived for the spin-spin two-time correlation functions following an instantaneous quench from equilibrium at low temperature. In the limit of long waiting times the correlations become independent of the distance and reduce to the autocorrelation function, which exhibits aging, i.e. it decays over a time which scale with the waiting time.
引用
收藏
页码:13 / 18
页数:6
相关论文
共 50 条
  • [21] Tapping thermodynamics of the one-dimensional Ising model
    Lefèvre, A
    Dean, DS
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (14): : L213 - L220
  • [22] Externally driven one-dimensional Ising model
    Aghamohammadi, Amir
    Aghamohammadi, Cina
    Khorrami, Mohammad
    [J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2012,
  • [23] ONE-DIMENSIONAL ISING MODEL WITH A TRANSVERSE FIELD
    PFEUTY, P
    [J]. ANNALS OF PHYSICS, 1970, 57 (01) : 79 - +
  • [24] Multiscaling and multifractality in an one-dimensional Ising model
    W. Jeżewski
    [J]. The European Physical Journal B - Condensed Matter and Complex Systems, 2001, 19 : 133 - 138
  • [25] Stochastic resonance in a one-dimensional Ising model
    Brey, J. J.
    Prados, A.
    [J]. Physics Letters. Section A: General, Atomic and Solid State Physics, 216 (06):
  • [26] ONE-DIMENSIONAL COMPRESSIBLE ISING-MODEL
    SALINAS, SR
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1973, 6 (10): : 1527 - 1533
  • [27] Multiscaling and multifractality in an one-dimensional Ising model
    Jezewski, S
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2001, 19 (01): : 133 - 138
  • [28] One-dimensional Ising model with multispin interactions
    Turban, Loic
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2016, 49 (35)
  • [29] DIFFUSION IN THE ONE-DIMENSIONAL ISING-MODEL
    ACHIAM, Y
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (05): : 1825 - 1833
  • [30] ONE-DIMENSIONAL ISING MODEL WITH GENERAL SPIN
    OBOKATA, T
    OGUCHI, T
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1968, 25 (02) : 322 - &