Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session F30: Self-Limiting Assemblies II: Programmable Assemblies
8:00 AM–11:00 AM,
Tuesday, March 3, 2020
Sponsoring Units: DSOFT DPOLY DBIO
Chair: Efi Efrati, Weizmann Institute of Science
Abstract: F30.00011 : Dynamical and equilibrium calculations of self-limited assembly through geometric frustration*
In this talk, we use a recently developed dynamical MC algorithm and free energy calculations to study the assembly of subunits that undergo frustrated assembly. We consider triangular elastic subunits that assemble into a 2D sheet with local hexagonal packing, which is frustrated by the fact that the preferred inter-subunit binding angle favors a negative Gaussian curvature. This incompatibility induces a strain which grows with the size of the assemblage, in some cases leading to a finite size equilibrium assembly with open boundaries. We characterize the relationship between subunit geometry, material properties, the assembly size, and its robustness to parameter variations.
*Work supported by R01GM108021 from NIH and NSF MRSEC, DMR-1420382.
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