6 papers
Higher Order Rigidity and Energy
Steven J. Gortler, Miranda Holmes-Cerfon, Louis Theran
In this paper, we revisit the notion of higher-order rigidity of a bar-and-joint framework. In particular, we provide a link between the rigidity properties of a framework, and the…
A modified Euler-Maruyama method to simulate a one-dimensional sticky diffusion
Chenqi Jiang, Miranda Holmes-Cerfon
A sticky diffusion is a process that can stick to and detach from a lower-dimensional boundary. A challenge in simulating such a process is in capturing the change in dimension in…
Brownian dynamics with soft constraints in soft matter systems
Sophie Marbach, Adam Carter, Miranda Holmes-Cerfon
Stiff forces, which bind objects together or otherwise confine motion, are found widely in soft-matter systems -- colloids with short range attractions, ligand-receptor contacts, p…
A Constrained Optimization Approach for Constructing Rigid Bar Frameworks with Higher-order Rigidity
Xuenan Li, Christian D. Santangelo, Miranda Holmes-Cerfon
We present a systematic approach for constructing bar frameworks that are rigid but not first-order rigid, using constrained optimization. We show that prestress stable (but not fi…
A Constrained Saddle Search Approach for Constructing Singular and Flexible Bar Frameworks
Xuenan Li, Mihnea Leonte, Christian D. Santangelo +1
Singularity analysis is essential in robot kinematics, as singular configurations cause loss of control and kinematic indeterminacy. This paper models singularities in bar framewor…
Hierarchical self-assembly for high-yield addressable complexity at fixed conditions
Miranda Holmes-Cerfon, Matthieu Wyart
There is evidence that the self-assembly of complex molecular systems often proceeds hierarchically, by first building subunits that later assemble in larger entities, in a process…