2009/03/25 by S. S. Ashwin, Richard K. Bowles, Richard k. Bowles · 5 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Atomic packing factor #Condensed matter physics #Entropy (arrow of time) #Frustration #Geometry #Jamming #Material Dynamics and Properties #Mathematics #Phase Equilibria and Thermodynamics #Physics #Quantum mechanics #Randomness #Sphere packing #Statistical physics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.102.235701
5 Pages, 4 figures
arxiv created 2009/03/25 · openalex publication_date 2009/06/08 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An exact description of the complete jamming landscape is developed for a system of hard discs of diameter sigma, confined between two lines separated by a distance 1+sqrt[3/4]<H/sigma<2. By considering all possible local packing arrangements, the generalized ensemble partition function of jammed states is obtained using the transfer matrix method, which allows us to calculate the configurational entropy and the equation of state for the packings. Exploring the relationship between structural order and packing density, we find that the geometric frustration between local packing environments plays an important role in determining the density distribution of jammed states and that structural "randomness" is a nonmonotonic function of packing density. Molecular dynamics simulations show that the properties of the equilibrium liquid are closely related to those of the landscape.