Short-time dynamic exponents of an Ising model with competing interactions

被引:8
|
作者
Alves, N [1 ]
De Felício, JRD [1 ]
机构
[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Pret, BR-14040901 Ribeirao Preto, SP, Brazil
来源
MODERN PHYSICS LETTERS B | 2003年 / 17卷 / 5-6期
关键词
dynamic critical exponents; Monte Carlo simulation; non-universality;
D O I
10.1142/S0217984903005068
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this work the two-dimensional Ising model with nearest- and next-nearest-neighbor interactions is revisited. We obtain the dynamic critical exponents z and theta from short-time Monte Carlo simulations. The dynamic critical exponent z is obtained from the time behavior of the ratio F-2 = <M-2>m(0) =0/<M>(2)(m0 = 1) similar tot(d/z), whereas the non-universal I exponent theta is estimated from the time correlation of the order parameter <M(0)M(t)> similar to t(theta), where M(t) is the order parameter at instant t, d is the dimension of the system and <(...)> is the average of the quantity (...) over different samples. We also obtain the static critical exponents beta and v by investigating the time behavior of the magnetization.
引用
收藏
页码:209 / 218
页数:10
相关论文
共 50 条
  • [1] Short-Time Dynamics of the Three-Dimensional Ising Model with Competing Interactions
    V. A. Mutailamov
    A. K. Murtazaev
    JETP Letters, 2018, 108 : 44 - 47
  • [2] Short-Time Dynamics of the Three-Dimensional Ising Model with Competing Interactions
    Mutailamov, V. A.
    Murtazaev, A. K.
    JETP LETTERS, 2018, 108 (01) : 44 - 47
  • [3] Dynamic critical exponents of the Ising model with multispin interactions
    Simoes, CS
    De Felício, JRD
    MODERN PHYSICS LETTERS B, 2001, 15 (15): : 487 - 496
  • [4] Short-time critical dynamic process of two-layer ising model
    Wu, MY
    Ye, AJ
    Li, ZB
    Zeng, WG
    ACTA PHYSICA SINICA, 2000, 49 (06) : 1168 - 1170
  • [5] Short-time relaxation of the Ising model on curved surfaces
    Shima, Hiroyuki
    Sakaniwa, Yasunori
    Hasegawa, Isaku
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2007, 310 (02) : E465 - E467
  • [6] Short-time critical dynamics for the transverse Ising model
    Santos, M
    PHYSICAL REVIEW E, 2000, 61 (06) : 7204 - 7207
  • [7] Short-Time Glassy Dynamics in Viscous Protein Solutions with Competing Interactions
    Godfrin, P. Douglas
    Hudson, Steven D.
    Hong, Kunlun
    Porcar, Lionel
    Falus, Peter
    Wagner, Norman J.
    Liu, Yun
    PHYSICAL REVIEW LETTERS, 2015, 115 (22)
  • [8] Diluted Ising model with competing interactions
    Andrade, RFS
    Salinas, SR
    PHYSICA A, 1999, 270 (3-4): : 342 - 352
  • [9] Short-time critical dynamics of the three-dimensional Ising model
    Jaster, A
    Mainville, J
    Schülke, L
    Zheng, B
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (08): : 1395 - 1406
  • [10] Critical exponents of the ising model with competing Glauber and Kawasaki dynamics
    Grandi, BCS
    Figueiredo, W
    PHYSICAL REVIEW E, 1996, 53 (05): : 5484 - 5487