Activated processes and Inherent Structure dynamics of finite-size mean-field models for glasses

Details Activated processes and Inherent Structure dynamics of finite-size mean-field models for glasses Activated processes and Inherent Structure dynamics of finite-size mean-field models for glasses

1999-11-15

arxiv.org/abs/cond-mat/9911226v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 3 postscript figures, EPL format, improved version

Scientific paper

10.1209/epl/i2000-00486-2

We investigate the inherent structure (IS) dynamics of mean-field {\it finite-size} spin-glass models whose high-temperature dynamics is described in the thermodynamic limit by the schematic Mode Coupling Theory for super-cooled liquids. Near the threshold energy the dynamics is ruled by activated processes which induce a logarithmic slow relaxation. We show the presence of aging in both the IS correlation and integrated response functions and check the validity of the one-step replica symmetry breaking scenario in the presence of activated processes. Our work shows: 1) The violation of the fluctuation-dissipation theorem is given by the configurational entropy, 2) The intermediate time regime ($\log(t)\sim N$) in mean-field theory automatically includes activated processes opening the way to analytically investigate activated processes by computing corrections beyond mean-field.

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