### Abstract

Exact calculations are presented for the real and imaginary magnetic susceptibilities chi prime ( omega , T) and chi double prime ( omega , T) and for the time dependence of the thermoremanent magnetisation in magnetic materials using a spin-cluster model. The interactions between clusters are neglected, which is appropriate for magnetic rocks and assemblies of fine-particle suspensions, and is an approximation in spin glasses at high enough frequencies. The distribution used for the cluster size and relaxation times is a Poissonian. The derived analytic forms for chi prime and chi double prime yield their temperature peaks as a function of frequency. These and the calculated remanent magnetisation compare favourably with the theoretical results obtained from statistical mechanical models using analytical and computational techniques, and with some experimental measurements on spin glasses.

Original language | English |
---|---|

Pages (from-to) | 1857-1865 |

Number of pages | 9 |

Journal | Journal of physics. C. Solid state physics |

Volume | 20 |

Issue number | 12 |

Publication status | Published - 1 Jan 1987 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Journal of physics. C. Solid state physics*,

*20*(12), 1857-1865.

**SPIN-CLUSTER THEORY IN MAGNETIC MATERIALS AND APPLICATIONS TO SPIN GLASSES.** / Khater, A.; Ferre, J.; Meyer, P.

Research output: Contribution to journal › Article

*Journal of physics. C. Solid state physics*, vol. 20, no. 12, pp. 1857-1865.

}

TY - JOUR

T1 - SPIN-CLUSTER THEORY IN MAGNETIC MATERIALS AND APPLICATIONS TO SPIN GLASSES.

AU - Khater, A.

AU - Ferre, J.

AU - Meyer, P.

PY - 1987/1/1

Y1 - 1987/1/1

N2 - Exact calculations are presented for the real and imaginary magnetic susceptibilities chi prime ( omega , T) and chi double prime ( omega , T) and for the time dependence of the thermoremanent magnetisation in magnetic materials using a spin-cluster model. The interactions between clusters are neglected, which is appropriate for magnetic rocks and assemblies of fine-particle suspensions, and is an approximation in spin glasses at high enough frequencies. The distribution used for the cluster size and relaxation times is a Poissonian. The derived analytic forms for chi prime and chi double prime yield their temperature peaks as a function of frequency. These and the calculated remanent magnetisation compare favourably with the theoretical results obtained from statistical mechanical models using analytical and computational techniques, and with some experimental measurements on spin glasses.

AB - Exact calculations are presented for the real and imaginary magnetic susceptibilities chi prime ( omega , T) and chi double prime ( omega , T) and for the time dependence of the thermoremanent magnetisation in magnetic materials using a spin-cluster model. The interactions between clusters are neglected, which is appropriate for magnetic rocks and assemblies of fine-particle suspensions, and is an approximation in spin glasses at high enough frequencies. The distribution used for the cluster size and relaxation times is a Poissonian. The derived analytic forms for chi prime and chi double prime yield their temperature peaks as a function of frequency. These and the calculated remanent magnetisation compare favourably with the theoretical results obtained from statistical mechanical models using analytical and computational techniques, and with some experimental measurements on spin glasses.

UR - http://www.scopus.com/inward/record.url?scp=0023328329&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023328329&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0023328329

VL - 20

SP - 1857

EP - 1865

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 12

ER -