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Yu N, Huang D, Lu S, Khrapak S, Feng Y. Universal scaling of transverse sound speed and its isomorphic property in Yukawa fluids. Phys Rev E 2024; 109:035202. [PMID: 38632806 DOI: 10.1103/physreve.109.035202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/27/2024] [Accepted: 02/13/2024] [Indexed: 04/19/2024]
Abstract
Molecular dynamical simulations are performed to investigate the scaling of the transverse sound speed in two-dimensional (2D) and 3D Yukawa fluids. From the calculated diagnostics of the radial distribution function, the mean-squared displacement, and the Pearson correlation coefficient, the approximate isomorphic curves for 2D and 3D liquidlike Yukawa systems are obtained. It is found that the structure and dynamics of 2D and 3D liquidlike Yukawa systems exhibit the isomorphic property under the conditions of the same relative coupling parameter Γ/Γ_{m}=const. It is demonstrated that the reduced transverse sound speed, i.e., the ratio of the transverse sound speed to the thermal speed, is an isomorph invariant, which is a quasiuniversal function of Γ/Γ_{m}. The obtained isomorph invariant of the reduced transverse sound speed can be useful to estimate the transverse sound speed, or determine the coupling strength, with applications to dusty (complex) plasma or colloidal systems.
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Affiliation(s)
- Nichen Yu
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
| | - Dong Huang
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
| | - Shaoyu Lu
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
| | - Sergey Khrapak
- Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
| | - Yan Feng
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
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Magyar P, Kalman GJ, Hartmann P, Donkó Z. Anomalous behavior of plasma response functions at strong coupling. Phys Rev E 2021; 104:015202. [PMID: 34412281 DOI: 10.1103/physreve.104.015202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/01/2021] [Accepted: 06/08/2021] [Indexed: 06/13/2023]
Abstract
Using data from equilibrium molecular dynamics computer simulations we have built up a catalog of response functions for the Coulomb one-component plasma over a wide range of Γ coupling values, including the strongly coupled Γ>1 liquid regime. We focus on the domain of negative compressibility (Γ>3), where the proper response displays an acausal behavior, implying a modification of the relation between its real and imaginary parts in the Kramers-Kronig relations. We give a description of the details of this acausal feature, in both the frequency and time domains. We show that the viscoelastic pole of the density response function morphs into an imaginary pole in the upper ω half-plane that is responsible for the anomalous behavior of the response in this coupling range. By examining the plasmon dispersion relation through the dielectric response function, rather than via the peaks of the dynamical structure function, we obtain a more reliable representation for the dispersion. We demonstrate that there is an intimate link between the formation of the roton minimum in the dispersion and the negative compressibility of the system. The feasibility of the extension of our analysis to systems with a short-range interaction is explored.
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Affiliation(s)
- Péter Magyar
- Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, P.O.B. 49, H-1525 Budapest, Hungary
| | - Gabor J Kalman
- Department of Physics, Boston College, Chestnut Hill, Massachusetts 20467, USA
| | - Péter Hartmann
- Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, P.O.B. 49, H-1525 Budapest, Hungary
| | - Zoltán Donkó
- Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, P.O.B. 49, H-1525 Budapest, Hungary
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Arkhipov YV, Ashikbayeva A, Askaruly A, Davletov AE, Dubovtsev DY, Santybayev KS, Syzganbayeva SA, Conde L, Tkachenko IM. Dynamic characteristics of three-dimensional strongly coupled plasmas. Phys Rev E 2020; 102:053215. [PMID: 33327172 DOI: 10.1103/physreve.102.053215] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/07/2020] [Accepted: 10/26/2020] [Indexed: 11/07/2022]
Abstract
The dynamic structure factor and other dynamic characteristics of strongly coupled one-component plasmas have been studied [Yu. V. Arkhipov et al., Phys. Rev. Lett. 119, 045001 (2017)PRLTAO0031-900710.1103/PhysRevLett.119.045001] using the self-consistent version of the method of moments. Within any version of the latter, the system dielectric function satisfies all involved sum rules and other exact relations automatically, and the advantage of this version is that, in addition, the dynamic characteristics (the dynamic structure factor, the dispersion, and decay parameters of the collective modes) are all expressed in terms of the static ones (the static structure factor) without any adjustment to the simulation data. The approach outlined in the aforementioned Letter is justified in detail and applied mainly to the classical Coulomb systems achieving satisfactory agreement with new numerical simulation data. It is shown how the realm of applicability of the method can be extended to partly degenerate and multicomponent systems, even to simple liquids. Some additional theoretical results are presented in the Supplemental Material.
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Affiliation(s)
- Yu V Arkhipov
- Department of Physics and Technology, IETP, Al-Farabi Kazakh National University, al-Farabi 71, 050040 Almaty, Kazakhstan
| | - A Ashikbayeva
- Department of Physics and Technology, IETP, Al-Farabi Kazakh National University, al-Farabi 71, 050040 Almaty, Kazakhstan
| | - A Askaruly
- Department of Physics and Technology, IETP, Al-Farabi Kazakh National University, al-Farabi 71, 050040 Almaty, Kazakhstan
| | - A E Davletov
- Department of Physics and Technology, IETP, Al-Farabi Kazakh National University, al-Farabi 71, 050040 Almaty, Kazakhstan
| | - D Yu Dubovtsev
- Department of Physics and Technology, IETP, Al-Farabi Kazakh National University, al-Farabi 71, 050040 Almaty, Kazakhstan
| | - Kh S Santybayev
- Department of Physics and Technology, IETP, Al-Farabi Kazakh National University, al-Farabi 71, 050040 Almaty, Kazakhstan
| | - S A Syzganbayeva
- Department of Physics and Technology, IETP, Al-Farabi Kazakh National University, al-Farabi 71, 050040 Almaty, Kazakhstan
| | - L Conde
- Departamento de Física Aplicada a la Ingeniería Aeronáutica, ETSIAE, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros 3, 28040 Madrid, Spain
| | - I M Tkachenko
- Departament de Matemàtica Aplicada, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain
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Khrapak S, Couëdel L. Dispersion relations of Yukawa fluids at weak and moderate coupling. Phys Rev E 2020; 102:033207. [PMID: 33075862 DOI: 10.1103/physreve.102.033207] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/26/2020] [Accepted: 08/19/2020] [Indexed: 06/11/2023]
Abstract
In this paper we compare different theoretical approaches to describe the dispersion of collective modes in Yukawa fluids when the interparticle coupling is relatively weak, so that the kinetic and potential contributions to the dispersion relation compete with each other. A thorough comparison with the results from molecular dynamics simulation allows us to conclude that, in the investigated regime, the best description is provided by the sum of the generalized excess bulk modulus and the Bohm-Gross kinetic term.
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Affiliation(s)
- Sergey Khrapak
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), 82234 Weßling, Germany
- Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
- Bauman Moscow State Technical University, 105005 Moscow, Russia
| | - Lénaïc Couëdel
- Physics and Engineering Physics Department, University of Saskatchewan, 116 Science Place, S7N 5E2 Saskatoon, Saskatchewan, Canada
- CNRS, Aix-Marseille Université, Laboratoire PIIM, UMR 7345, 13397 Marseille cedex 20, France
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