1
|
Fairushin II, Mokshin AV. Collective ion dynamics in Coulomb one-component plasmas within the self-consistent relaxation theory. Phys Rev E 2023; 108:015206. [PMID: 37583226 DOI: 10.1103/physreve.108.015206] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/27/2023] [Accepted: 07/10/2023] [Indexed: 08/17/2023]
Abstract
In this paper, we present the theoretical formalism describing the collective ion dynamics of the nonideal Coulomb classical one-component plasmas on the basis of the self-consistent relaxation theory. The theory is adapted to account for correlations between the frequency relaxation parameters that characterize the three- and four-particle dynamics and the parameters associated with the two-particle dynamics. The dynamic structure factor spectra and dispersion characteristics calculated for a wide range of wave numbers are in agreement with the molecular dynamics simulation data and the results obtained with the theory of the frequency moments. The proposed formalism reproduces all the features inherent to the Coulomb one-component plasmas and requires only knowledge of the coupling parameter and the information about the structure.
Collapse
Affiliation(s)
- Ilnaz I Fairushin
- Department of Computational Physics, Institute of Physics, Kazan Federal University, 420008 Kazan, Russia
| | - Anatolii V Mokshin
- Department of Computational Physics, Institute of Physics, Kazan Federal University, 420008 Kazan, Russia
| |
Collapse
|
2
|
Mokshin AV, Fairushin II, Tkachenko IM. Self-consistent relaxation theory of collective ion dynamics in Yukawa one-component plasmas under intermediate screening regimes. Phys Rev E 2022; 105:025204. [PMID: 35291083 DOI: 10.1103/physreve.105.025204] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/13/2021] [Accepted: 02/01/2022] [Indexed: 06/14/2023]
Abstract
The self-consistent relaxation theory is employed to describe the collective ion dynamics in strongly coupled Yukawa classical one-component plasmas. The theory is applied to equilibrium states corresponding to intermediate screening regimes with appropriate values of the structure and coupling parameters. The information about the structure (the radial distribution function and the static structure factor) and the thermodynamics of the system are sufficient to describe collective dynamics over a wide range of spatial scales, namely, from the extended hydrodynamic to the microscopic dynamics scale. The main experimentally measurable characteristics of the equilibrium collective dynamics of ions-the spectrum of the dynamic structure factor, the dispersion parameters, the speed of sound, and the sound attenuation-are determined within the framework of the theory without using any adjustable parameters. The results demonstrate agreement with molecular dynamics simulations. Thus a direct realization is presented of the key idea of statistical mechanics: for the theoretical description of the collective particle dynamics in equilibrium fluids it is sufficient to know the interparticle interaction potential and the structural characteristics. Comparison with alternative or complementary theoretical approaches is provided.
Collapse
Affiliation(s)
- Anatolii V Mokshin
- Department of Computational Physics, Institute of Physics, Kazan Federal University, 420008 Kazan, Russia
| | - Ilnaz I Fairushin
- Department of Computational Physics, Institute of Physics, Kazan Federal University, 420008 Kazan, Russia
| | - Igor M Tkachenko
- Departament de Matemàtica Aplicada, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain
- Al-Farabi Kazakh National University, al-Farabi Av. 71, 050040 Almaty, Kazakhstan
| |
Collapse
|
3
|
Hong XR, Sun W, Schwabe M, Du CR, Duan WS. Reflection and transmission of an incident solitary wave at an interface of a binary complex plasma in a microgravity condition. Phys Rev E 2021; 104:025206. [PMID: 34525546 DOI: 10.1103/physreve.104.025206] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/29/2021] [Accepted: 08/06/2021] [Indexed: 06/13/2023]
Abstract
Theoretical results are given in the present paper, which can well explain the experimental observations performed under microgravity conditions in the PK-3 Plus Laboratory on board the International Space Station about the propagation of a solitary wave across an interface in a binary complex plasma. By using the traditional reductive perturbation method and the continuity conditions of both the electric potential and the momentum at the interface, we obtain the equivalent "initial conditions" for both the transmitted wave and the reflected waves from the incident wave. Then we obtain the numbers of the reflected and the transmitted solitary waves as well as all the wave amplitudes by using the inverse scattering method. The ripples of both reflection and transmission have also been given by using the Fourier series. The number of the reflected and the transmitted solitary waves produced by interface, as well as all the solitary wave amplitudes, depend on the system parameters such as the number density, electric charge, mass of the dust particles, and the effective temperature in both regions. The analytical results agree with observations in the experiments.
Collapse
Affiliation(s)
- Xue-Ren Hong
- College of Physics and Electronic Engineering, Northwest Normal University, 730070 Lanzhou, People's Republic of China
| | - Wei Sun
- College of Science, Donghua University, 201620 Shanghai, People's Republic of China
| | - Mierk Schwabe
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), 82234 Weßling, Germany
| | - Cheng-Ran Du
- College of Science, Donghua University, 201620 Shanghai, People's Republic of China
| | - Wen-Shan Duan
- College of Physics and Electronic Engineering, Northwest Normal University, 730070 Lanzhou, People's Republic of China
| |
Collapse
|
4
|
Choi Y, Murillo MS. Influence of dissipation and effective interaction on the dense plasma dynamic structure factor. Phys Rev E 2021; 103:063210. [PMID: 34271690 DOI: 10.1103/physreve.103.063210] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/27/2021] [Accepted: 06/01/2021] [Indexed: 11/07/2022]
Abstract
The ionic dynamic structure factor is examined to assess the relative roles of dissipation and the effective ionic interaction. Two disparate physically based models of dissipation, which can differ numerically by orders of magnitude, are used in molecular dynamics. We find a negligible impact on the amplitudes of the dynamic structure factors for physically realistic parameter values. We then examine the effective ionic interaction by varying its strength, the size of the atomic core (through a pseudopotential), and the screening model. We find that "diffusive" peaks in the dynamic structure factor are very sensitive to the form of the ionic interaction, and this sensitivity arises primarily from atomic physics through the pseudopotential. This suggests that it would be useful to employ the measured zero-frequency dynamic structure factor S_{ii}(k,0) as a constraint on the effective interaction, which in turn can be used to compute physical properties.
Collapse
Affiliation(s)
- Yongjun Choi
- Institute for Cyber-Enabled Research, Michigan State University, East Lansing, Michigan 48824, USA
| | - Michael S Murillo
- Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, Michigan 48824, USA
| |
Collapse
|
5
|
Khaledialidusti R, Khazaei M, Wang V, Miao N, Si C, Wang J, Wang J. Exploring structural, electronic, and mechanical properties of 2D hexagonal MBenes. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 33:155503. [PMID: 33682685 DOI: 10.1088/1361-648x/abbb0e] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/09/2020] [Accepted: 09/23/2020] [Indexed: 06/12/2023]
Abstract
A family of two-dimensional (2D) transition metal borides, referred to as MBenes, is recently emerging as novel materials with great potentials in electronic and energy harvesting applications to the field of materials science and technology. Transition metal borides can be synthesized from chemical exfoliation of ternary-layered transition metal borides, known as MAB phases. Previously it has been predicted that thin pristine 2D Sc-, Ti-, Zr-, Hf-, V-, Nb-, Ta-, Mo-, and W-based transition metal borides with hexagonal phase are more stable than their corresponding orthorhombic phase. Here, using a set of first-principles calculations (at absolute zero temperature), we have examined the geometric, dynamic stability, electronic structures, work function, bond strength, and mechanical properties of the hexagonal monolayer of transition metal borides (M= Sc, Ti, Zr, Hf, V, Nb, Ta, Mo, and W) chemically terminated with F, O, and OH. The results of the formation energies of terminated structures imply that the surface terminations could make a strong bond to the surface transition metals and provide the possibility of the development of transition metal borides with those surface terminations. Except for ScBO, which is an indirect bandgap semiconductor, the other transition metal borides are metallic or semimetal. Particularly, TiBF, ZrBF, and HfBF are metallic systems whose band dispersions close to the Fermi level indicate the coexistence of type-I and type-II nodal lines. Our calculated work functions indicate that 2D transition metal borides with OH (O) functionalization obtain the lowest (highest) work functions. The results of the mechanical properties of the considered structures imply that oxygen functionalized transition metal borides exhibit the stiffest mechanical strength with 248 <E(N m-1) < 348 while non-terminated transition metal borides are generally the weakest systems with 206 <E(N m-1) < 283.
Collapse
Affiliation(s)
- Rasoul Khaledialidusti
- Department of Mechanical and Industrial Engineering, Norwegian University of Science and Technology (NTNU), 7491 Trondheim, Norway
| | - Mohammad Khazaei
- Department of Physics, Yokohama National University, Yokohama 240-8501, Japan
| | - Vei Wang
- Department of Applied Physics, Xi'an University of Technology, Xi'an 710054, People's Republic of China
| | - Nanxi Miao
- State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, People's Republic of China
- International Center for Materials Discovery, State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an, Shanxi 710072, People's Republic of China
| | - Chen Si
- School of Materials Science and Engineering, Beihang University, Beijing 100191, People's Republic of China
| | - Jianfeng Wang
- Beijing Computational Science Research Center, Beijing 100193, People's Republic of China
| | - Junjie Wang
- State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, People's Republic of China
- International Center for Materials Discovery, State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an, Shanxi 710072, People's Republic of China
| |
Collapse
|
6
|
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: 1.0] [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.
Collapse
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
| |
Collapse
|