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Anomalously Soft Droplets and Aging in Short-ranged Spin Glasses

Hajime Yoshino, Koji Hukushima, Hajime Takayama

Published 2002-02-07, updated 2002-03-22Version 2

We extend the standard droplet scaling theory for isothermal aging in spin glasses assuming that the effective stiffness constant of droplets as large as extended defects is vanishingly small. A novel dynamical order parameter and the associated dynamical susceptibility emerge. Breaking of the fluctuation dissipation theorem takes place at the dynamical order parameter well below the equilibrium Edwards-Anderson order parameter at which the time translational invariance is strongly broken. The scenario is examined numerically in a 4 dimensional EA Ising spin glass model.

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