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A Generalized Kawasaki-Type Dynamics with Spin-Pair Redistribution Mechanism |
| ZHU Jian-Yang1;ZHU Han2 |
| 1Department of Physics, Beijing Normal University, Beijing 100875
2Department of Physics, Nanjing University, Nanjing 210093 |
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| Cite this article: |
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ZHU Jian-Yang, ZHU Han 2002 Chin. Phys. Lett. 19 1669-1671 |
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Abstract We generalize Kawasaki's dynamics, spin-pair exchange mechanism, to a spin-pair redistribution mechanism, and we present a normalized redistribution probability. As an application, we treat the one-dimensional kinetic Gaussian model and obtain the exact diffusion equation and the temperature-dependent diffusion coefficient. We find that the diffusion process can slow down infinitely near the critical point and obtain the critical dynamic exponent z = 2 that is independent of the assumed mechanism, either Glauber-type or Kawasaki-type.
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| Keywords:
64.60.Ht
05.70.Ln
75.10.Hk
68.35.Fx
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Published: 01 November 2002
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| PACS: |
64.60.Ht
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(Dynamic critical phenomena)
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05.70.Ln
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(Nonequilibrium and irreversible thermodynamics)
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75.10.Hk
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(Classical spin models)
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68.35.Fx
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(Diffusion; interface formation)
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