Translational Invariance Properties of a One-Dimensional Fluid with Forces of Finite Extent
- 1 March 1967
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 8 (3) , 434-442
- https://doi.org/10.1063/1.1705210
Abstract
The translational invariance properties of a one‐dimensional fluid with finite range forces are investigated. For N particles in the interval [0, L], with a two‐body interaction potential w(x) = 0 for x ≥ R, we find the following: (a) If w(x) has a hard core of diameter d and R ≤ 2d, each n‐particle distribution function Dn(x1, …, xn) is translationally invariant if and only if L > 2(N − n)R and x1, …, xn lie in [(N − n)R, L − (N − n)R]. (b) For arbitrary finite values of R, with or without a hard core, the above conditions are sufficient for translational invariance of the Dn. These conditions hold for all temperatures.Keywords
This publication has 1 reference indexed in Scilit:
- Translational Invariance Properties of a Finite One-Dimensional Hard-Core FluidJournal of Mathematical Physics, 1967