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Statistical Mechanics of One-Dimensional Charged Hard-Rod Systems
New Phys.: Sae Mulli 2019; 69: 1101~1106
Published online October 31, 2019;
© 2019 New Physics: Sae Mulli.

Minhye HEO, Seanea JANG, Ghi Ryang SHIN*, Soon-Chul KIM

Department of Physics, Andong National University, Andong 36729, Korea
Correspondence to:
Received May 20, 2019; Revised August 7, 2019; Accepted August 19, 2019.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
A one-dimensional Coulomb system, in which two charged colloids are neutralized by a collection of hard-rod counterions, was studied using isobaric and canonical ensembles. The exact isobaric and canonical partition functions were obtained. The explicit closed forms for the canonical particle density and the thermodynamic variables were obtained. The one-dimensional charged hard-rod system does not exhibit a phase transition. The charged hard-rod system also shows an attraction between like-charge particle, as well as the point-charged system [Phys. Rev. E  92, 042134 (2015)], even though the strong hard-core repulsion between two counterions enhances the screening effect between like charges.
PACS numbers: 05.20.Jj, 05.70.Ce, 82.70.Dd
Keywords: One-dimensional charged hard rod, Isobaric ensemble, Canonical ensemble

October 2019, 69 (10)
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