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Phys. Rev. B 77, 092415 (2008) [4 pages]

Persistence and memory in patchwork dynamics for glassy models

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Creighton K. Thomas1, Olivia L. White2, and A. Alan Middleton1
1Department of Physics, Syracuse University, Syracuse, New York 13244, USA
2Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

Received 31 January 2008; published 28 March 2008

Slow dynamics in disordered materials prohibits direct simulation of their rich nonequilibrium behavior at large scales. “Patchwork dynamics” is introduced to mimic relaxation over a very broad range of time scales by directly equilibrating or optimizing on successive length scales. This dynamics is used to study coarsening and to replicate memory effects for spin glasses and random ferromagnets. It is also used to find, with high confidence, correct ground states in large toroidal samples.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.77.092415
DOI:
10.1103/PhysRevB.77.092415
PACS:
75.10.Nr, 05.10.−a, 75.50.Lk