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Dynamics of the symmetrically constrained Ising chain

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  • Reiter, J.
  • Jäckle, J.

Abstract

The dynamics of the symmetrically constrained Ising spin chain, or symmetric one-spin facilitated kinetic Ising model, is investigated both by Monte Carlo simulation and by analytical mode-expansion methods. We confirm Fredrickson's argument that at low concentration of the facilitating up spins, the dynamics is governed by the diffusion of isolated up spins, but only for very low up-spin concentrations c ≤ 10−3. An adequate analytical treatment is obtained by a three-spin approximation, which describes the diffusion of pairs of isolated up spins.

Suggested Citation

  • Reiter, J. & Jäckle, J., 1995. "Dynamics of the symmetrically constrained Ising chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(3), pages 311-330.
    • Handle: RePEc:eee:phsmap:v:215:y:1995:i:3:p:311-330
    DOI: 10.1016/0378-4371(95)00021-X
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    1. Stanley J. Benkoski & Michael G. Monticino & James R. Weisinger, 1991. "A survey of the search theory literature," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 469-494, August.
    2. Mansfield, P. & Stinchcombe, R.B., 1991. "Fisher renormalisation and conformal field theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 131-138.
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