Liquid-Solid Transition of Hard Spheres Under Gravity

Abstract

We investigate the liquid-solid transition of two dimensional hard spheres in the presence of gravity. We determine the transition temperature and the fraction of particles in the solid regime as a function of temperature via Even-Driven molecular dynamics simulations and compare them with the theoretical predictions. We then examine the configurational statistics of a vibrating bed from the view point of the liquid-solid transition by explicitly determining the transition temperature and the effective temperature, T, of the bed, and present a relation between T and the vibration strength.

14 total pages, 4 figures

References in corpus (5)

• How to Simulate Billiards and Similar Systems
• Velocity statistics in excited granular media
• Velocity Distributions & Density Fluctuations in a 2D Granular Gas
• Condensation of Hard Spheres Under Gravity
• Temperature scaling in a dense vibro-fluidised granular material

Cited by in corpus (6)

• The Reverse Brazil Nut Problem: Competition between Percolation and Condensation
• Size separation in vibrated granular matter
• Variational Approach to Hard Sphere Segregation Under Gravity
• Geometry-controlled phase transition in vibrated granular media
• Density Functional Theory of Hard Sphere Condensation Under Gravity
• Collective Motion of Inelastic Particles between Two Oscillating Walls