Translational Invariance Properties of a Finite One-Dimensional Hard-Core Fluid Using the Grand Canonical Ensemble
- 1 January 1969
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (1) , 7-13
- https://doi.org/10.1063/1.1664762
Abstract
Translational invariance properties of the single‐particle distribution function D1(x, L, z) of the grand canonical ensemble are investigated for a one‐dimensional hard‐core fluid. For a fluid of finite length L it is shown that D1(x, L, z) is nowhere constant. It is shown that, in the thermodynamic limit and for x far from either wall, D1(x, L, z) is a constant equal to the grand canonical density ρ.Keywords
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