title: Particle-scale reversibility in athermal particulate media below jamming.
abstract: We perform numerical simulations of repulsive, frictionless athermal disks in two and three spatial dimensions undergoing cyclic quasistatic simple shear to investigate particle-scale reversible motion. We identify three classes of steady-state dynamics as a function of packing fraction φ and maximum strain amplitude per cycle γ(max). Point-reversible states, where particles do not collide and exactly retrace their intracycle trajectories, occur at low φ and γ(max). Particles in loop-reversible states undergo numerous collisions and execute complex trajectories but return to their initial positions at the end of each cycle. For sufficiently large φ and γ(max), systems display irreversible dynamics with nonzero self-diffusion. Loop-reversible dynamics enables the reliable preparation of configurations with specified structural and mechanical properties over a broad range of φ.
authors: Department of Mechanical Engineering & Materials Science, Yale University, New Haven, Connecticut 06520-8260, USA and Department of Physics, Yale University, New Haven, Connecticut 06520-8120, USA.
authors: Carl F
authors: CF
authors: Schreck
authors: Department of Physics, University of South Florida, Tampa, Florida 33620, USA.
authors: Robert S
authors: RS
authors: Hoy
authors: Department of Mechanical Engineering & Materials Science, Yale University, New Haven, Connecticut 06520-8260, USA and Benjamin Levich Institute and Physics Department, The City College of the City University of New York, New York, New York 10031, USA.
authors: Mark D
authors: MD
authors: Shattuck
authors: Department of Mechanical Engineering & Materials Science, Yale University, New Haven, Connecticut 06520-8260, USA and Department of Physics, Yale University, New Haven, Connecticut 06520-8120, USA and Department of Applied Physics, Yale University, New Haven, Connecticut 06520-8120, USA.
authors: Corey S
authors: CS
authors: O'Hern