Journal
PHYSICAL REVIEW E
Volume 92, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.92.012316
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Funding
- Alfred P. Sloan Foundation
- NSF [NSF DMR-1055586]
- MINECO (Spain) [FIS2012-35719-C02]
- European Research Council under the European Union's Seventh Framework Programme (FP7)/ERC [247328]
- Region Ile de France
- project Equip@Meso of the programme Investissements d'Avenir [ANR-10-EQPX-29-01]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1055586] Funding Source: National Science Foundation
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Recent theoretical advances predict the existence, deep into the glass phase, of a novel phase transition, the so-called Gardner transition. This transition is associated with the emergence of a complex free energy landscape composed of many marginally stable sub-basins within a glass metabasin. In this study, we explore several methods to detect numerically the Gardner transition in a simple structural glass former, the infinite-range Mari-Kurchan model. The transition point is robustly located from three independent approaches: (i) the divergence of the characteristic relaxation time, (ii) the divergence of the caging susceptibility, and (iii) the abnormal tail in the probability distribution function of cage order parameters. We show that the numerical results are fully consistent with the theoretical expectation. The methods we propose may also be generalized to more realistic numerical models as well as to experimental systems.
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