Finite Size Effects on Spin Glass Dynamics

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dc.creatorJoh, Y. G.
dc.creatorOrbach, R.
dc.creatorWood, G. G.
dc.creatorHammann, J.
dc.creatorVincent, E.
dc.date2000-02-02
dc.date2000-02-08
dc.date.accessioned2026-07-07T02:36:41Z
dc.date.available2026-07-07T02:36:41Z
dc.descriptionThe 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.
dc.description9 pages, 5 eps figures (typos corrected)
dc.identifierhttps://arxiv.org/abs/cond-mat/0002040
dc.identifierhttp://arxiv.org/abs/cond-mat/0002040
dc.identifierJ. Phys. Soc. Jpn. 69 (2000) Suppl. A, pp. 215-222
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16013
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleFinite Size Effects on Spin Glass Dynamics
dc.typetext

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