Kawasaki-type Dynamics: Diffusion in the kinetic Gaussian model

Details Kawasaki-type Dynamics: Diffusion in the kinetic Gaussian model Kawasaki-type Dynamics: Diffusion in the kinetic Gaussian model

2002-04-06

arxiv.org/abs/cond-mat/0204156v2

Phys. Rev. E 66, 017102 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

accepted for publication in PRE

Scientific paper

10.1103/PhysRevE.66.017102

In this article, we retain the basic idea and at the same time generalize Kawasaki's dynamics, spin-pair exchange mechanism, to spin-pair redistribution mechanism, and present a normalized redistribution probability. This serves to unite various order-parameter-conserved processes in microscopic, place them under the control of a universal mechanism and provide the basis for further treatment. As an example of the applications, we treated the kinetic Gaussian model and obtained exact diffusion equation. We observed critical slowing down near the critical point and found that, the critical dynamic exponent z=1/nu=2 is independent of space dimensionality and the assumed mechanism, whether Glauber-type or Kawasaki-type.

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