Abstract
We find the first three (even) structure factor moments for a (non-quantum) one-component Jellium made of particles living in three dimensions and interacting with a Coulomb pair-potential plus a short-range term with either a finite range or decaying exponentially fast at large distances. Starting from the hierarchical Born-Green-Yvon equations we show that they are all form invariant respect to the addition of the short-range term. We discuss the relevance of the present study to interpret the failure of the moment sum-rules of ionic-liquids at criticality.
Similar content being viewed by others
References
P. A. Martin Rev. Mod. Phys.60, 1075 (1988).
P. Debye and E. Hückel Phys. Z.9, 185 (1923).
F. H. S. Jr. and R. Lovett J. Chem. Phys.49, 1991 (1968)
P. A. Martin and C. Gruber J. Stat. Phys.31, 691 (1983)
P. Vieillefosse J. Stat. Phys.41, 1015 (1985)
D. Pines and P. Nozières, The Theory of Quantum Liquids (Benjamin, New York, 1966) p. 219
P. Vieillefosse and J. P. Hansen Phys. Rev. A12, 1106 (1975)
M. Baus J. Phys. A11, 2451 (1978)
A. Alastuey and P. A. Martin J. Stat. Phys.39, 405 (1985)
J. -P. Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd ed. (Academic Press, London, 1986)
[S. K. Das, Y. C. Kim, and M. E. Fisher Phys. Rev. Lett. 107 , 215701 (2011)
[S. K. Das, Y. C. Kim, and M. E. Fisher J. Chem. Phys. 137 , 074902 (2012)
A. Alastuey and R. Fantoni, J. Stat. Phys.163, 887 (2016)
R. Fantoni Physica A477C, 187 (2017)
A. Santos and J. Piasecki Mol. Phys.113, 2855 (2015)
P. Vieillefosse and M. Brajon J. Stat. Phys.55, 1169 (1989)
R. Fantoni and G. Pastore Europhys. Lett.101, 46003 (2013a) https://doi.org/10.1209/0295-5075/101/46003
R. Fantoni and G. Pastore Phys. Rev. E87, 052303 (2013b) https://doi.org/10.1103/PhysRevE.87.052303
G. Stell J. Stat. Phys.78, 197 (1995)
L. G. Suttorp and A. J. van Wonderen Physica A145, 533 (1987)
A. J. van Wonderen and L. G. Suttorp Physica A145 557 (1987)
L. G. Suttorp J. Phys. A: Math. Theor.41, 495001 (2008)
R. Fantoni, B. Jancovici and G. Téllez J. Stat. Phys.112, 27 (2003) https://doi.org/10.1023/A:1023671419021
R. Fantoni and G. Téllez J. Stat. Phys.133, 449 (2008) https://doi.org/10.1007/s10955-008-9616-x
R. Fantoni J. Stat. Mech., P04015 (2012a) https://doi.org/10.1088/1742-5468/2012/04/P04015
R. Fantoni J. Stat. Mech., P10024 (2012b) https://doi.org/10.1088/1742-5468/2012/10/P10024
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Fantoni, R. Form invariance of the moment sum-rules for jellium with the addition of short-range terms in the pair-potential. Indian J Phys 95, 1027–1032 (2021). https://doi.org/10.1007/s12648-020-01750-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-020-01750-2