### Abstract

Calculations are presented for the thermoremanent magnetization m(t) in magnetic materials using a cluster model for their spin-system. The distribution employed for the cluster sizes is Poissonian. We derive for m(t) a form which is a modified power law, consisting of the product of a power law (t/ tau //0)** minus ** alpha and a positive polynomial in alpha 1n(t/ tau //0). alpha is linear with temperature. The thermoremanent magnetization decays linearly with 1n(t/ tau //0) over two distinct regimes, one which has been obtained previously, at short observations times, and another that results from the competition between the power law and the polynomial. This second regime occurs significantly for the observation times 10** minus **3 s less than equivalent to t less than equivalent to 10**3 s probed mostly by experimental techniques. With increasing temperature, the power law dominates and m(t) decays strongly though non-exponentially.

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

Pages (from-to) | 874-876 |

Number of pages | 3 |

Journal | Physica Scripta |

Volume | 35 |

Issue number | 6 |

Publication status | Published - Jun 1987 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physica Scripta*,

*35*(6), 874-876.

**CLUSTER THEORY FOR THERMOREMANENT MAGNETISATION.** / Khater, A.; Ferre, J.; Meyer, P.

Research output: Contribution to journal › Article

*Physica Scripta*, vol. 35, no. 6, pp. 874-876.

}

TY - JOUR

T1 - CLUSTER THEORY FOR THERMOREMANENT MAGNETISATION.

AU - Khater, A.

AU - Ferre, J.

AU - Meyer, P.

PY - 1987/6

Y1 - 1987/6

N2 - Calculations are presented for the thermoremanent magnetization m(t) in magnetic materials using a cluster model for their spin-system. The distribution employed for the cluster sizes is Poissonian. We derive for m(t) a form which is a modified power law, consisting of the product of a power law (t/ tau //0)** minus ** alpha and a positive polynomial in alpha 1n(t/ tau //0). alpha is linear with temperature. The thermoremanent magnetization decays linearly with 1n(t/ tau //0) over two distinct regimes, one which has been obtained previously, at short observations times, and another that results from the competition between the power law and the polynomial. This second regime occurs significantly for the observation times 10** minus **3 s less than equivalent to t less than equivalent to 10**3 s probed mostly by experimental techniques. With increasing temperature, the power law dominates and m(t) decays strongly though non-exponentially.

AB - Calculations are presented for the thermoremanent magnetization m(t) in magnetic materials using a cluster model for their spin-system. The distribution employed for the cluster sizes is Poissonian. We derive for m(t) a form which is a modified power law, consisting of the product of a power law (t/ tau //0)** minus ** alpha and a positive polynomial in alpha 1n(t/ tau //0). alpha is linear with temperature. The thermoremanent magnetization decays linearly with 1n(t/ tau //0) over two distinct regimes, one which has been obtained previously, at short observations times, and another that results from the competition between the power law and the polynomial. This second regime occurs significantly for the observation times 10** minus **3 s less than equivalent to t less than equivalent to 10**3 s probed mostly by experimental techniques. With increasing temperature, the power law dominates and m(t) decays strongly though non-exponentially.

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M3 - Article

VL - 35

SP - 874

EP - 876

JO - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

IS - 6

ER -