### Abstract

The relaxation of the equilibrium correlation function [formula omitted] is studied by the Monte Carlo method for the bond-diluted kinetic Ising model on the square lattice with a bond concentration below the percolation threshold. Here, the system has N Ising spins and S^{i} denotes the i-th Ising spin. The correlation function q(t) seems to exhibit a nonexponential decay below the critical temperature of the nonrandom Ising model. An effective size v of a cluster of ferromagnetically connected spins is defined as [formula omitted], where τ is the longest relaxation time in the cluster. It is found that the distribution function of v behaves as [formula omitted]. Although the asymptotic behaviour [formula omitted] is not reached in the time region studied by the Monte Carlo method, this distribution explains the long-time behavior of q(t).

Original language | English |
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Pages (from-to) | 3871-3874 |

Number of pages | 4 |

Journal | Journal of the Physical Society of Japan |

Volume | 58 |

Issue number | 11 |

DOIs | |

Publication status | Published - 1989 Jan 1 |

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### Keywords

- Bond dilution
- Griffiths singularity
- Kinetic Ising model
- Relaxation
- Spin autocorrelation function

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*58*(11), 3871-3874. https://doi.org/10.1143/JPSJ.58.3871