Two disks in a box

Robin J. Speedy

Physica A: Statistical Mechanics and its Applications, 1994, vol. 210, issue 3, 341-351

Abstract: Exact analytical expressions are derived for the thermodynamic properties of two discs in square and rhomboidal boxes with hard walls, and in a square cell with periodic boundaries. With periodic boundaries the equation of state has a van der Waals loop and a second order cusp. In a box with hard walls there is a third order “glass transition” which seems to capture the essence of the glass transition observed in systems of a few hundred hard spheres.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:210:y:1994:i:3:p:341-351

DOI: 10.1016/0378-4371(94)90082-5

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