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Square root relaxation: two possible mechanisms

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  • J. Villain

Abstract

Magnetic relaxation in large spin molecular paramagnets is often found to behave as $\delta M(t) \sim \sqrt{t}$ at short times t. This behaviour was explained by Prokofiev & Stamp as arising from dipole interactions between molecular spins. However, as observed by Miyashita & Saito, the same behaviour can arise from a different mechanism which, in the present work, is related to hyperfine interactions. The Miyashita-Saito scheme is found to be possible at short times if the nuclear longitudinal spin relaxation is very slow. In the case of moderately slow nuclear spin relaxation, the electronic magnetization variation δM(t) is initially proportional to t, then to $\sqrt{t}$ and finally to exp (-t/τ). This behaviour may be mostly expected in dilute systems. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

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  • J. Villain, 2005. "Square root relaxation: two possible mechanisms," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 48(2), pages 173-177, November.
    • Handle: RePEc:spr:eurphb:v:48:y:2005:i:2:p:173-177
    DOI: 10.1140/epjb/e2005-00396-7
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