Article ID Journal Published Year Pages File Type
1859174 Physics Letters A 2014 7 Pages PDF
Abstract

•A simple free energy form of quasi-0D hard spheres embedded in the 1D systems is obtained.•The quasi-0D state is thermodynamically more favorable than inhomogeneous fluidity above the volume fraction of about 73%.•The Delaunay tessellation provides a coarse-grained similarity to the jamming limit in the car parking problem.

A coarse-grained system of one-dimensional (1D) hard spheres (HSs) is created using the Delaunay tessellation, which enables one to define the quasi-0D state. It is found from comparing the quasi-0D and 1D free energy densities that a frozen state due to the emergence of quasi-0D HSs is thermodynamically more favorable than fluidity with a large-scale heterogeneity above crossover volume fraction of ϕc=e/(1+e)=0.731⋯ϕc=e/(1+e)=0.731⋯ , at which the total entropy of the 1D state vanishes. The Delaunay-based lattice mapping further provides a similarity between the dense HS system above ϕcϕc and the jamming limit in the car parking problem.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
Authors
,