Dynamic critical exponents of the Ising model with multispin interactions

被引:15
作者
Simoes, CS
De Felício, JRD
机构
[1] Univ Sao Paulo, Dept Fis & Matemat, FFCLRP, BR-14049 Ribeirao Preto, SP, Brazil
[2] Fac COC, Ribeirao Preto, SP, Brazil
来源
MODERN PHYSICS LETTERS B | 2001年 / 15卷 / 15期
关键词
D O I
10.1142/S0217984901001902
中图分类号
O59 [应用物理学];
学科分类号
摘要
We revisit the short-time dynamics of 2D Ising model with three spin interactions in one direction and estimate the critical exponents z, theta, beta and nu. Taking properly into account the symmetry of the Hamiltonian, we obtain results completely different from those obtained by Wang et al.(10) For the dynamic exponent z our result coincides with that of the 4-state Potts model in two dimensions. In addition, results for the static exponents nu and beta agree with previous estimates obtained from finite size scaling combined with conformal invariance. Finally, for the new dynamic exponent theta we find a negative and close to zero value, a result also expected for the 4-state Potts model according to Okano et al.
引用
收藏
页码:487 / 496
页数:10
相关论文
共 36 条
[1]   CONFORMAL-INVARIANCE AND THE CRITICAL-BEHAVIOR OF A QUANTUM SPIN HAMILTONIAN WITH 3-SPIN COUPLING [J].
ALCARAZ, FC ;
BARBER, MN .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (01) :179-188
[2]   ORDER OF PHASE-TRANSITION FOR SYSTEMS WITH MULTISPIN INTERACTIONS - MONTE-CARLO SIMULATIONS [J].
ALCARAZ, FC .
PHYSICAL REVIEW B, 1986, 34 (07) :4885-4888
[3]   CRITICAL-BEHAVIOR OF 2 ISING-MODELS WITH MULTISPIN INTERACTIONS [J].
BLOTE, HWJ ;
COMPAGNER, A ;
CORNELISSEN, PAM ;
HOOGLAND, A ;
MALLEZIE, F ;
VANDERZANDE, C .
PHYSICA A, 1986, 139 (2-3) :395-411
[4]   EQUIVALENCE OF AN ISING-MODEL WITH 2-SPIN AND 3-SPIN INTERACTIONS WITH THE 4-STATE POTTS-MODEL [J].
BLOTE, HWJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (01) :L35-L38
[5]   Critical behavior of a four-state irreversible model with Potts symmetry [J].
Brunstein, A ;
Tomé, T .
MODERN PHYSICS LETTERS B, 1999, 13 (14) :471-477
[6]   NUMERICAL DETERMINATION OF THE ORDER OF PHASE-TRANSITIONS IN ISING SYSTEMS WITH MULTISPIN INTERACTIONS [J].
CATICHA, N ;
CHAHINE, J ;
DEFELICIO, JRD .
PHYSICAL REVIEW B, 1991, 43 (01) :1173-1175
[7]  
DASILVA R, IN PRESS
[8]   THE DYNAMIC CRITICAL EXPONENT OF THE Q=3 AND Q=4 STATE POTTS-MODEL [J].
DE ARCANGELIS, L ;
JAN, N .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (18) :L1179-L1183
[9]   TWO-DIMENSIONAL ISING-MODEL WITH MULTISPIN INTERACTIONS [J].
DEBIERRE, JM ;
TURBAN, L .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (15) :3571-3584
[10]   FINITE-SIZE SCALING RENORMALIZATION-GROUP [J].
DEOLIVEIRA, PMC .
EUROPHYSICS LETTERS, 1992, 20 (07) :621-626