Natural seesaw and leptogenesis from hybrid of high-scale type I and TeV-scale inverse
- Award ID(s):
- 1719877
- Publication Date:
- NSF-PAR ID:
- 10100292
- Journal Name:
- Journal of High Energy Physics
- Volume:
- 2019
- Issue:
- 4
- ISSN:
- 1029-8479
- Sponsoring Org:
- National Science Foundation
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Nanoindentation and microcrystal deformation are two methods that allow probing size effects in crystal plasticity. In many cases of microcrystal deformation, scale-free and potentially universal intermittency of event sizes during plastic flow has been revealed, whereas nanoindentation has been mainly used to assess the stress statistics of the first pop-in. Here, we show that both methods of deformation exhibit fundamentally different event-size statistics obtained from plastic instabilities. Nanoindentation results in scale-dependent intermittent microplasticity best described by Weibull statistics (stress and magnitude of the first pop-in) and lognormal statistics (magnitude of higher-order pop-ins). In contrast, finite-volume microcrystal deformation of the same material exhibits microplastic event-size intermittency of truncated power-law type even when the same plastic volume as in nanoindentation is probed. Furthermore, we successfully test a previously proposed extreme-value statistics model that relates the average first critical stress to the shape and scale parameter of the underlying Weibull distribution.