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    Large time zero temperature dynamics of the spherical p=2-spin glass model of finite size 
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    Large time zero temperature dynamics of the spherical p=2-spin glass model of finite size

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    Submitted version (613.5Kb)
    Publisher URL
    http://dx.doi.org/10.1088/1742-5468/2015/11/P11017
    DOI
    10.1088/1742-5468/2015/11/P11017
    Journal
    J. Stat. Mech. P11017 (2015)
    Metadata
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    Abstract
    We revisit the long time dynamics of the spherical fully connected $p = 2$-spin glass model when the number of spins $N$ is large but {\it finite}. At $T=0$ where the system is in a (trivial) spin-glass phase, and on long time scale $t \gtrsim {\cal O}{(N^{2/3})}$ we show that the behavior of physical observables, like the energy, correlation and response functions, is controlled by the density of near-extreme eigenvalues at the edge of the spectrum of the coupling matrix $J$, and are thus non self-averaging. We show that the late time decay of these observables, once averaged over the disorder, is controlled by new universal exponents which we compute exactly.
    Authors
    Fyodorov, YV; Perret, A; Schehr, G
    URI
    http://qmro.qmul.ac.uk/xmlui/handle/123456789/10671
    Collections
    • Particle Physics [263]
    Licence information
    © 2015 IOP Publishing Ltd and SISSA Medialab srl
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