Temperature Chaos, Rejuvenation and Memory in Migdal-Kadanoff Spin Glasses

Details Temperature Chaos, Rejuvenation and Memory in Migdal-Kadanoff Spin Glasses Temperature Chaos, Rejuvenation and Memory in Migdal-Kadanoff Spin Glasses

2003-03-20

arxiv.org/abs/cond-mat/0303406v2

Phys. Rev. Lett. 91, 097201 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures, added references, slightly changed content, modified Fig. 4

Scientific paper

10.1103/PhysRevLett.91.097201

We use simulations within the Migdal-Kadanoff real space renormalization approach to probe the scales relevant for rejuvenation and memory in spin glasses. One of the central questions concerns the role of temperature chaos. First we investigate scaling laws of equilibrium temperature chaos, finding super-exponential decay of correlations but no chaos for the total free energy. Then we perform out of equilibrium simulations that follow experimental protocols. We find that: (1) rejuvenation arises at a length scale smaller than the ``overlap length'' l(T,T'); (2) memory survives even if equilibration goes out to length scales much larger than l(T,T').

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