Numerical detection of the Gardner transition in a mean-field glass former.
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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.
Published Version (Please cite this version)10.1103/PhysRevE.92.012316
Publication InfoCharbonneau, Patrick; Jin, Y; Parisi, G; Rainone, C; Seoane, B; & Zamponi, Francesco (2015). Numerical detection of the Gardner transition in a mean-field glass former. Phys Rev E Stat Nonlin Soft Matter Phys, 92(1). pp. 012316. 10.1103/PhysRevE.92.012316. Retrieved from https://hdl.handle.net/10161/12621.
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Associate Professor of Chemistry
Professor Charbonneau studies soft matter. His work combines theory and simulation to understand the glass problem, protein crystallization, microphase formation, and colloidal assembly in external fields.