5 papers
A solid-state theory for dense cylindrical packings of balls
Luke K. Davis, Alexander R. Klotz
We develop an analytical theory for the dense packing of hard spheres in cylinders. Physically, our theory consists of a finite cylindrical masking of a close-packed three-dimensio…
Geometric decomposition of the d-dimensional hard-sphere partition function
Luke K. Davis
We introduce a geometric decomposition of the hard-sphere partition function. Using a close-packing-inspired geometric bound on the available insertion volume, made rigorous when a…
Optimal multi-parameter control of trapped active matter
Luke K. Davis
The realization of efficient micro-machines built from active matter requires precise thermodynamic control far from equilibrium. Despite theoretical progress, the focus on single-…
Insertion space in repulsive active matter
Luke K. Davis, Karel Proesmans
For equilibrium hard spheres, the statistical geometry of the insertion space, the room to accommodate another sphere, relates exactly to the equation of state. We begin to extend…
Force and geometric signatures of the creep-to-failure transition in a granular pile
Qing Hao, Luca Montoya, Elena Lee +2
Granular creep is the slow, sub-yield movement of constituents in a granular packing due to the disordered nature of its grain-scale interactions. Despite the ubiquity of creep in…