Extremal noise events, intermittency and Log-Poisson statistics in non-equilibrium aging of complex systems

Physics – Condensed Matter – Disordered Systems and Neural Networks

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12 pages, 9 figures, to appear in the Proceedings of the third SPIE International Symposium on Fluctuations and Noise, 23-26 M

Scientific paper

10.1117/12.600964

We review the close link between intermittent events ('quakes') and extremal noise fluctuations which has been advocated in recent numerical and theoretical work. From the idea that record-breaking noise fluctuations trigger the quakes, an approximate analytical description of non-equilibrium aging as a Poisson process with logarithmic time arguments can be derived. Theoretical predictions for measurable statistical properties of mesoscopic fluctuations are emphasized, and supporting numerical evidence is included from simulations of short-ranged Ising spin-glass models, of the ROM model of vortex dynamics in type II superconductors, and of the Tangled Nature model of biological evolution.

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