Equation of state for hard sphere fluids with and without Kac tails

Details Equation of state for hard sphere fluids with and without Kac tails Equation of state for hard sphere fluids with and without Kac tails

2008-09-03

arxiv.org/abs/0809.0597v1

American Journal of Physics 76, 777 (2008)

Physics

Condensed Matter

Statistical Mechanics

pedagogical paper

Scientific paper

10.1119/1.2908182

In this note, we propose a simple derivation of the one dimensional hard rod equation of state, with and without a Kac tail (appended long range and weak potential). The case of hard spheres in higher dimension is also addressed and it is shown there that our arguments --which avoid any mathematical complication-- allow to recover the virial form of the equation of state in a direct way.

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