Finite Size Effects on Spin Glass Dynamics

Y. G. Joh; R. Orbach; G. G. Wood; J. Hammann; E. Vincent

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arXiv · cond-mat/0002040

Finite Size Effects on Spin Glass Dynamics

Y. G. Joh·R. Orbach·G. G. Wood·J. Hammann·E. Vincent

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Abstract

The recent identification of a time and temperature dependent spin glass correlation length, $ξ({t_w},T)$, has consequences for samples of finite size. Qualitative arguments are given on this basis for departures from t/{t_w} scaling for the time decay of the thermoremanent magnetization, {M_{TRM}}(t,{t_w},T), where t is the measurement time after a ``waiting time'' t_w, and for the imaginary part of the ac susceptibility, ${χ^{{\prime}{\prime}}}(ω,t)$. Consistency is obtained for a more rapid decay of $M_{TRM}(t,{t_w},T)$ with increasing t_w when plotted as a function of t/{t_w}, for the deviation of the characteristic time for {M_{TRM}}(t,{t_w},T) from a linear dependence upon H^2 at larger values of H, and for the deviation of the decay of ${χ^{{\prime}{\prime}}}(ω,t)$ from $ωt$ scaling upon a change in magnetic field at large values of $ωt$. These departures from scaling can, in principle, be used to extract the particle size distribution for a given spin glass sample.

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Y. G. Joh, R. Orbach, G. G. Wood, J. Hammann, E. Vincent. 2000-02-08. Finite Size Effects on Spin Glass Dynamics. https://arxiv.org/abs/cond-mat/0002040

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