Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2008-07-22
Phys. Rev. Lett. 102, 037207 (2009)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 4 figures, 1 table
Scientific paper
10.1103/PhysRevLett.102.037207
We present results from Monte Carlo simulations to test for ultrametricity and clustering properties in spin-glass models. By using a one-dimensional Ising spin glass with random power-law interactions where the universality class of the model can be tuned by changing the power-law exponent, we find signatures of ultrametric behavior both in the mean-field and non-mean-field universality classes for large linear system sizes. Furthermore, we confirm the existence of nontrivial connected components in phase space via a clustering analysis of configurations.
Hartmann Alexander K.
Katzgraber Helmut G.
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