Pair Distribution Function of a Cell Fluid Model with Curie–Weiss Interaction

Authors

DOI:

https://doi.org/10.15407/ujpe71.8.663

Keywords:

cell fluid model, Curie–Weiss interaction, pair distribution function, n-particle density

Abstract

In this paper we present results for the pair distribution function for the cell fluid model with Curie–Weiss interaction. As a supplementary result, one- and two-particle densities are calculated. The results confirm that the cell fluid model with Curie–Weiss interaction is essentially a mean-field fluid.

References

1. C. Marquest, T.A. Witten. Simple cubic structure in copolymer mesophases. J. Phys. France 50, 1267 (1989).

https://doi.org/10.1051/jphys:0198900500100126700

2. C.N. Likos, M. Watzlawek, H. Löwen. Freezing and clustering transitions for penetrable spheres. Phys. Rev. E 58, 3135 (1998).

https://doi.org/10.1103/PhysRevE.58.3135

3. M. Schmidt. An ab initio density functional for penetrable spheres. J. Phys.: Condens. Matter 11, 10163 (1999).

https://doi.org/10.1088/0953-8984/11/50/309

4. M.-J. Fernaud, E. Lomba, L.L. Lee. A self-consistent integral equation study of the structure and thermodynamics of the penetrable sphere fluid. J. Chem. Phys. 112, 810 (2000).

https://doi.org/10.1063/1.480649

5. C.N. Likos. Effective interactions in soft condensed matter physics. Phys. Rep. 348, 267 (2001).

https://doi.org/10.1016/S0370-1573(00)00141-1

6. F.H. Stillinger. Phase transitions in the Gaussian core system. J. Chem. Phys. 65, 3968 (1976).

https://doi.org/10.1063/1.432891

7. A. Lang, C.N. Likos, M. Watzlawek, H. Löwen. Fluid and solid phases of the Gaussian core model. J. Phys.: Condens. Matter 12, 5087 (2000).

https://doi.org/10.1088/0953-8984/12/24/302

8. A.A. Louis, P.G. Bolhuis, J.P. Hansen. Mean-field fluid behavior of the Gaussian core model. Phys. Rev. E 62, 7961 (2000).

https://doi.org/10.1103/PhysRevE.62.7961

9. A.A. Louis, P.G. Bolhuis, J.P. Hansen, E.J. Meijer. Can polymer coils be modeled as "soft colloids"? Phys. Rev. Lett. 85, 2522 (2000).

https://doi.org/10.1103/PhysRevLett.85.2522

10. P.G. Bolhuis, A.A. Louis, J.P. Hansen, E.J. Meijer. Accurate effective pair potentials for polymer solutions. J. Chem. Phys. 114, 4296 (2001).

https://doi.org/10.1063/1.1344606

11. S. Prestipino. Cluster phases of penetrable rods on a line. Phys. Rev. E 90, 042306 (2014).

https://doi.org/10.1103/PhysRevE.90.042306

12. S. Prestipino, D. Gazzillo, N. Tasinato. Probing the existence of phase transitions in one-dimensional fluids of penetrable particles. Phys. Rev. E 92, 022138 (2015).

https://doi.org/10.1103/PhysRevE.92.022138

13. R. Finken, J.-P. Hansen, A.A. Louis. Phase separation of a multiple occupancy lattice gas. J. Phys. A 37, 577 (2004).

https://doi.org/10.1088/0305-4470/37/3/003

14. D. Frydel, Y. Levin. Soft-particle lattice gas in one dimension: One- and two-component cases. Phys. Rev. E 98, 062123 (2018).

https://doi.org/10.1103/PhysRevE.98.062123

15. Yu. Kozitsky, M. Kozlovskii, O. Dobush. Phase transitions in a continuum Curie-Weiss system: A quantitative analysis. In Modern Problems of Molecular Physics. Edited by L.A. Bulavin, A.V. Chalyi (Springer, 2018).

https://doi.org/10.1007/978-3-319-61109-9_11

16. Yu. V. Kozitsky, M.P. Kozlovskii, O.A. Dobush. A phase transition in a Curie-Weiss system with binary interactions. Condens. Matter Phys. 23, 23502 (2020).

https://doi.org/10.5488/CMP.23.23502

17. R.V. Romanik, O.A. Dobush, M.P. Kozlovskii, I.V. Pylyuk, M.A. Shpot. A multiple occupancy cell fluid model with competing attraction and repulsion interactions. J. Stat. Phys. 193, 14 (2026).

https://doi.org/10.1007/s10955-026-03568-4

18. M.P. Kozlovskii, O.A. Dobush. Phase behavior of a cell model with Curie-Weiss interaction. J. Mol. Liq. 353, 118843 (2022).

https://doi.org/10.1016/j.molliq.2022.118843

19. J.P. Hansen, I.R. McDonald. Theory of Simple Liquids: with Applications to Soft Matter. 4th edition (Academic Press, 2013).

https://doi.org/10.1016/B978-0-12-387032-2.00012-X

Downloads

Published

2026-07-20

Issue

Vol. 71 No. 8 (2026)

Section

Physics of liquids and liquid systems, biophysics and medical physics

License

Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine

The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:

1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.

2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.

3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.

4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.

5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.

6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.

How to Cite

Pair Distribution Function of a Cell Fluid Model with Curie–Weiss Interaction. (2026). Ukrainian Journal of Physics, 71(8), 663. https://doi.org/10.15407/ujpe71.8.663

Most read articles by the same author(s)