Fierro A. Glass transition in models with controlled frustration.
PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2004;
70:012501. [PMID:
15324100 DOI:
10.1103/physreve.70.012501]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/01/2004] [Indexed: 05/24/2023]
Abstract
A class of models with self-generated disorder and controlled frustration is studied. Between the trivial case, where frustration is not present at all, and the limit case, where frustration is present over every length scale, a region with local frustration is found where glassy dynamics appears. We suggest that in this region, the mean field model might undergo a p -spin like transition, and increasing the range of frustration, a crossover from a 1 -step replica symmetry breaking to a continuous one might be observed.
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