Dynamic Space Packing
arXiv:2306.14358 · doi:10.1088/1742-5468/ad0223
Abstract
Dynamic space packing (DSP) is a random process with sequential addition and removal of identical objects into space. In the lattice version, objects are particles occupying single lattice sites, and adding a particle to a lattice site leads to the removal of particles on neighboring sites. We show that the model is solvable and determine the steady-state occupancy, correlation functions, desorption probabilities, and other statistical features for the DSP of hyper-cubic lattices. We also solve a continuous DSP of balls into .
arXiv comment24 pages, 8 figures; v3: small corrections, Appendix B and refs added
References in corpus (49)
- Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
- Mean field theory of hard sphere glasses and jamming
- New upper bounds on sphere packings I
- Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions
- The sphere packing problem in dimension 24
- The sphere packing problem in dimension 8
- Random Sequential Addition of Hard Spheres in High Euclidean Dimensions
- Basic Understanding of Condensed Phases of Matter via Packing Models
- Precise Algorithm to Generate Random Sequential Addition of Hard Hyperspheres at Saturation
- Solution of the dynamics of liquids in the large-dimensional limit
- Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory
- Glass transition and random close packing above three dimensions
- Distributing many points on spheres: minimal energy and designs
- New upper bounds on sphere packings II
- Glass transition of hard spheres in high dimensions
- Sphere Packing and Quantum Gravity
- Toy model for the mean-field theory of hard-sphere liquids
- Exactly Solvable Disordered Sphere-Packing Model in Arbitrary-Dimension Euclidean Spaces
- Reformulation of the Covering and Quantizer Problems as Ground States of Interacting Particles
- A conceptual breakthrough in sphere packing
- Improved sphere packing lower bounds from Hurwitz lattices
- Liu-Nagel phase diagrams in infinite dimension
- A simple theory for the dynamics of mean-field-like models of glass-forming fluids
- Structure of hard-hypersphere fluids in odd dimensions
- High-dimensional sphere packing and the modular bootstrap
- Gaussian core model phase diagram and pair correlations in high Euclidean dimensions
- Active hard-spheres in infinitely many dimensions
- Statics and dynamics of infinite-dimensional liquids and glasses: a parallel, compact derivation
- On the hard sphere model and sphere packings in high dimensions
- Evolutionary accessibility in tunably rugged fitness landscapes
- On the most compact regular lattice in large dimensions: A statistical mechanical approach
- Retention capacity of random surfaces
- Statistical mechanics of the lattice sphere packing problem
- Distance Between Sets - A survey
- Application of Edwards' statistical mechanics to high dimensional jammed sphere packings
- Counterintuitive ground states in soft-core models
- Large Deviations in One-Dimensional Random Sequential Adsorption
- Random walk generated by random permutations of {1,2,3, ..., n+1}
- The Statistics of the Number of Minima in a Random Energy Landscape
- The Gaussian core model in high dimensions
- Partition of Networks into Basins of Attraction
- Statistics of Multiple Sign Changes in a Discrete Non-Markovian Sequence
- Three simple scenarios for high-dimensional sphere packings
- On the frequencies of patterns of rises and falls
- Three-point bounds for sphere packing
- Random Sequential Covering
- Birds on a Wire
- Sphere packing bounds via rescaling
- How densely can spheres be packed with moderate effort in high dimensions?