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THE CRITICAL DYNAMICS OF THE KINETIC ISING MODELS ON THE SYSTEMS WITH Rmin> 2
Institution:Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
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.
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