We find the scaling limits of a general class of boundarytoboundary connection probabilities and multiple interfaces in the critical planar FKIsing model, thus verifying predictions from the physics literature. We also discuss conjectural formulas using Coulomb gas integrals for the corresponding quantities in general critical planar randomcluster models with clusterweight
Crystallographic theory based on energy minimization suggests austenitetwinned martensite interfaces with specific orientation, which are confirmed experimentally for various materials. Pressureinduced phase transformation (PT) from semiconducting SiI to metallic SiII, due to very large and anisotropic transformation strain, may challenge this theory. Here, unexpected nanostructure evolution during SiI → SiII PT is revealed by combining molecular dynamics (MD), crystallographic theory, generalized for strained crystals, and in situ realtime Laue Xray diffraction (XRD). Twinned SiII, consisting of two martensitic variants, and unexpected nanobands, consisting of alternating strongly deformed and rotated residual SiI and third variant of SiII, form
 NSFPAR ID:
 10363286
 Publisher / Repository:
 Nature Publishing Group
 Date Published:
 Journal Name:
 Nature Communications
 Volume:
 13
 Issue:
 1
 ISSN:
 20411723
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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