中国物理B ›› 1993, Vol. 2 ›› Issue (12): 898-906.doi: 10.1088/1004-423X/2/12/003

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THE CRITICAL DYNAMICS OF THE KINETIC ISING MODELS ON THE SYSTEMS WITH Rmin> 2

周健, 陈式刚   

  1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • 收稿日期:1992-12-22 修回日期:1993-02-20 出版日期:1993-12-20 发布日期:1993-12-20

THE CRITICAL DYNAMICS OF THE KINETIC ISING MODELS ON THE SYSTEMS WITH Rmin> 2

ZHOU JIAN (周健), CHEN SHI-GANG (陈式刚)   

  1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:1992-12-22 Revised:1993-02-20 Online:1993-12-20 Published:1993-12-20

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摘要： We perform the exact TDRG transformations on the kinetic Ising model of the braced ladder whose Rmin is 5. Within our knowledge, this is the only example that the exact TDRG transformations have been performed on a system with Rmin >2. We show that under Achiam's linear response theory there must be important excitations of the multi-spin operators in the kinetic Ising models of the systems with Rmin > 2, the dynamic critical behaviours of the systems are greatly affected by these excitations. Moreover, we get the conclusion that for the kinetic Ising models of the systems with Rmin=∞ exact TDRG calculationa are impossible. The complete new and interesting results are given.

Abstract: We perform the exact TDRG transformations on the kinetic Ising model of the braced ladder whose Rmin is 5. Within our knowledge, this is the only example that the exact TDRG transformations have been performed on a system with Rmin >2. We show that under Achiam's linear response theory there must be important excitations of the multi-spin operators in the kinetic Ising models of the systems with Rmin > 2, the dynamic critical behaviours of the systems are greatly affected by these excitations. Moreover, we get the conclusion that for the kinetic Ising models of the systems with Rmin=$\infty$ exact TDRG calculationa are impossible. The complete new and interesting results are given.

中图分类号:  (Classical spin models)

  • 75.10.Hk
75.40.Gb (Dynamic properties?)