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Couëdel L, Nosenko V. Stability of two-dimensional complex plasma monolayers in asymmetric capacitively coupled radio-frequency discharges. Phys Rev E 2022; 105:015210. [PMID: 35193236 DOI: 10.1103/physreve.105.015210] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/14/2021] [Accepted: 01/11/2022] [Indexed: 06/14/2023]
Abstract
In this article, the stability of a complex plasma monolayer levitating in the sheath of the powered electrode of an asymmetric capacitively coupled radio-frequency argon discharge is studied. Compared to earlier studies, a better integration of the experimental results and theory is achieved by operating with actual experimental control parameters such as the gas pressure and the discharge power. It is shown that for a given microparticle monolayer at a fixed discharge power there exist two threshold pressures: (i) above a specific pressure p_{cryst}, the monolayer always crystallizes; (ii) below a specific pressure p_{MCI}, the crystalline monolayer undergoes the mode-coupling instability and the two-dimensional complex plasma crystal melts. In between p_{MCI} and p_{cryst}, the microparticle monolayer can be either in the fluid phase or the crystal phase: when increasing the pressure from below p_{MCI}, the monolayer remains in the fluid phase until it reaches p_{cryst} at which it recrystallizes; when decreasing the pressure from above p_{cryst}, the monolayer remains in the crystalline phase until it reaches p_{MCI} at which the mode-coupling instability is triggered and the crystal melts. A simple self-consistent sheath model is used to calculate the rf sheath profile, the microparticle charges, and the microparticle resonance frequency as a function of power and background argon pressure. Combined with calculation of the lattice modes the main trends of p_{MCI} as a function of power and background argon pressure are recovered. The threshold of the mode-coupling instability in the crystalline phase is dominated by the crossing of the longitudinal in-plane lattice mode and the out-of plane lattice mode induced by the change of the sheath profile. Ion wakes are shown to have a significant effect too.
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Affiliation(s)
- L Couëdel
- Physics and Engineering Physics Department, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5E2, Canada
- CNRS, Aix-Marseille Université, Laboratoire PIIM UMR 7345, 13397 Marseille cedex 20, France
| | - V Nosenko
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), D-82234 Weßling, Germany
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2
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Couëdel L, Nosenko V. Tracking and Linking of Microparticle Trajectories During Mode-Coupling Induced Melting in a Two-Dimensional Complex Plasma Crystal. J Imaging 2019; 5:jimaging5030041. [PMID: 34460469 PMCID: PMC8320910 DOI: 10.3390/jimaging5030041] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/28/2019] [Revised: 03/11/2019] [Accepted: 03/12/2019] [Indexed: 11/17/2022] Open
Abstract
In this article, a strategy to track microparticles and link their trajectories adapted to the study of the melting of a quasi two-dimensional complex plasma crystal induced by the mode-coupling instability is presented. Because of the three-dimensional nature of the microparticle motions and the inhomogeneities of the illuminating laser light sheet, the scattered light intensity can change significantly between two frames, making the detection of the microparticles and the linking of their trajectories quite challenging. Thanks to a two-pass noise removal process based on Gaussian blurring of the original frames using two different kernel widths, the signal-to-noise ratio was increased to a level that allowed a better intensity thresholding of different regions of the images and, therefore, the tracking of the poorly illuminated microparticles. Then, by predicting the positions of the microparticles based on their previous positions, long particle trajectories could be reconstructed, allowing accurate measurement of the evolution of the microparticle energies and the evolution of the monolayer properties.
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Affiliation(s)
- Lénaïc Couëdel
- Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, SK S7N 5E2, Canada
- CNRS, Aix-Marseille Université, PIIM, UMR 7345, 13397 Marseille CEDEX 20, France
- Correspondence: or
| | - Vladimir Nosenko
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), D-82234 Weßling, Germany
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3
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Kryuchkov NP, Ivlev AV, Yurchenko SO. Dissipative phase transitions in systems with nonreciprocal effective interactions. SOFT MATTER 2018; 14:9720-9729. [PMID: 30468440 DOI: 10.1039/c8sm01836g] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The reciprocity of effective interparticle forces can be violated in various open and nonequilibrium systems, in particular, in colloidal suspensions and complex (dusty) plasmas. Here, we obtain a criterion under which a nonreciprocal system can be strictly reduced to a pseudo-Hamiltonian system with a detailed dynamic equilibrium. In particular, the criterion is satisfied for catalytically active colloids interacting via nonreciprocal diffusiophoretic forces. However, in the general case, when this criterion is not satisfied, the steady state is determined by the interplay between dissipation and the energy source due to the nonreciprocity of interactions. The results indicate the realization of bistability and dissipative spinodal decomposition in a broad class of systems with nonreciprocal effective interactions.
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Affiliation(s)
- Nikita P Kryuchkov
- Bauman Moscow State Technical University, 2nd Baumanskaya street 5, 105005 Moscow, Russia.
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Couëdel L, Nosenko V, Rubin-Zuzic M, Zhdanov S, Elskens Y, Hall T, Ivlev AV. Full melting of a two-dimensional complex plasma crystal triggered by localized pulsed laser heating. Phys Rev E 2018; 97:043206. [PMID: 29758736 DOI: 10.1103/physreve.97.043206] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/09/2017] [Indexed: 06/08/2023]
Abstract
The full melting of a two-dimensional plasma crystal was induced in a principally stable monolayer by localized laser stimulation. Two distinct behaviors of the crystal after laser stimulation were observed depending on the amount of injected energy: (i) below a well-defined threshold, the laser melted area recrystallized; (ii) above the threshold, it expanded outwards in a similar fashion to mode-coupling instability-induced melting, rapidly destroying the crystalline order of the whole complex plasma monolayer. The reported experimental observations are due to the fluid mode-coupling instability, which can pump energy into the particle monolayer at a rate surpassing the heat transport and damping rates in the energetic localized melted spot, resulting in its further growth. This behavior exhibits remarkable similarities with impulsive spot heating in ordinary reactive matter.
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Affiliation(s)
- L Couëdel
- Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, SK S7N 5E2, Canada
- Aix-Marseille Université, CNRS, PIIM, UMR 7345, 13397 Marseille cedex 20, France
- Department of Physics, Auburn University, Auburn, Alabama 36849, USA
| | - V Nosenko
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft und Raumfahrt, D-82234 Weßling, Germany
| | - M Rubin-Zuzic
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft und Raumfahrt, D-82234 Weßling, Germany
| | - S Zhdanov
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft und Raumfahrt, D-82234 Weßling, Germany
| | - Y Elskens
- Aix-Marseille Université, CNRS, PIIM, UMR 7345, 13397 Marseille cedex 20, France
| | - T Hall
- Department of Physics, Auburn University, Auburn, Alabama 36849, USA
| | - A V Ivlev
- Max Planck Institute for Extraterrestrial Physics, D-85741 Garching, Germany
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5
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Nosenko V, Zhdanov SK, Thomas HM, Carmona-Reyes J, Hyde TW. Dynamics of spinning particle pairs in a single-layer complex plasma crystal. Phys Rev E 2018; 96:011201. [PMID: 29347228 DOI: 10.1103/physreve.96.011201] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/09/2017] [Indexed: 11/07/2022]
Abstract
Spontaneous formation of spinning pairs of particles, or torsions, is studied in a single-layer complex plasma crystal by reducing the discharge power at constant neutral gas pressure. At higher gas pressures, torsions spontaneously form below a certain power threshold. Further reduction of the discharge power leads to the formation of multiple torsions. However, at lower gas pressures the torsion formation is preceded by mode-coupling instability (MCI). The crystal dynamics are studied with the help of the fluctuation spectra of crystal particles' in-plane velocities. Surprisingly, the spectra of the crystal with torsions and MCI are rather similar and contain hot spots at similar locations on the (k,ω) plane, despite very different appearances of the respective particle trajectories. The torsion rotation speed is close (slightly below) to the maximum frequency of the in-plane compressional mode. When multiple torsions form, their rotation speeds are distributed in a narrow range slightly below the maximum frequency.
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Affiliation(s)
- V Nosenko
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt, 82234 Weßling, Germany.,Center for Astrophysics, Space Physics, and Engineering Research, Baylor University, Waco, Texas 76798-7310, USA
| | - S K Zhdanov
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt, 82234 Weßling, Germany
| | - H M Thomas
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt, 82234 Weßling, Germany
| | - J Carmona-Reyes
- Center for Astrophysics, Space Physics, and Engineering Research, Baylor University, Waco, Texas 76798-7310, USA
| | - T W Hyde
- Center for Astrophysics, Space Physics, and Engineering Research, Baylor University, Waco, Texas 76798-7310, USA
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Yurchenko SO, Yakovlev EV, Couëdel L, Kryuchkov NP, Lipaev AM, Naumkin VN, Kislov AY, Ovcharov PV, Zaytsev KI, Vorob'ev EV, Morfill GE, Ivlev AV. Flame propagation in two-dimensional solids: Particle-resolved studies with complex plasmas. Phys Rev E 2017; 96:043201. [PMID: 29347570 DOI: 10.1103/physreve.96.043201] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/17/2017] [Indexed: 06/07/2023]
Abstract
Using two-dimensional (2D) complex plasmas as an experimental model system, particle-resolved studies of flame propagation in classical 2D solids are carried out. Combining experiments, theory, and molecular dynamics simulations, we demonstrate that the mode-coupling instability operating in 2D complex plasmas reveals all essential features of combustion, such as an activated heat release, two-zone structure of the self-similar temperature profile ("flame front"), as well as thermal expansion of the medium and temperature saturation behind the front. The presented results are of relevance for various fields ranging from combustion and thermochemistry, to chemical physics and synthesis of materials.
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Affiliation(s)
- S O Yurchenko
- Bauman Moscow State Technical University, 2nd Baumanskaya Street 5/1, 105005 Moscow, Russia
| | - E V Yakovlev
- Bauman Moscow State Technical University, 2nd Baumanskaya Street 5/1, 105005 Moscow, Russia
| | - L Couëdel
- CNRS, Aix Marseille Université, PIIM, UMR 7345, 13397 Marseille, France
| | - N P Kryuchkov
- Bauman Moscow State Technical University, 2nd Baumanskaya Street 5/1, 105005 Moscow, Russia
| | - A M Lipaev
- Joint Institute for High Temperatures, 125412 Moscow, Russia
| | - V N Naumkin
- Joint Institute for High Temperatures, 125412 Moscow, Russia
| | - A Yu Kislov
- Bauman Moscow State Technical University, 2nd Baumanskaya Street 5/1, 105005 Moscow, Russia
| | - P V Ovcharov
- Bauman Moscow State Technical University, 2nd Baumanskaya Street 5/1, 105005 Moscow, Russia
| | - K I Zaytsev
- Bauman Moscow State Technical University, 2nd Baumanskaya Street 5/1, 105005 Moscow, Russia
| | - E V Vorob'ev
- Bauman Moscow State Technical University, 2nd Baumanskaya Street 5/1, 105005 Moscow, Russia
| | - G E Morfill
- Bauman Moscow State Technical University, 2nd Baumanskaya Street 5/1, 105005 Moscow, Russia
- Max-Planck-Institut für Extraterrestrische Physik, Giessenbachstrasse 1, 85748 Garching, Germany
| | - A V Ivlev
- Max-Planck-Institut für Extraterrestrische Physik, Giessenbachstrasse 1, 85748 Garching, Germany
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7
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Kompaneets R, Morfill GE, Ivlev AV. Wakes in complex plasmas: A self-consistent kinetic theory. Phys Rev E 2016; 93:063201. [PMID: 27415371 DOI: 10.1103/physreve.93.063201] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/29/2016] [Indexed: 11/07/2022]
Abstract
In ground-based experiments with complex (dusty) plasmas, charged microparticles are levitated against gravity by an electric field, which also drives ion flow in the parent gas. Existing analytical approaches to describe the electrostatic interaction between microparticles in such conditions generally ignore the field and ion-neutral collisions, assuming free ion flow with a certain approximation for the ion velocity distribution function (usually a shifted Maxwellian). We provide a comprehensive analysis of our previously proposed self-consistent kinetic theory including the field, ion-neutral collisions, and the corresponding ion velocity distribution. We focus on various limiting cases and demonstrate how the interplay of these factors results in different forms of the shielding potential.
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Affiliation(s)
- Roman Kompaneets
- Max-Planck-Institut für extraterrestrische Physik, Giessenbachstr. 1, 85748 Garching, Germany
| | - Gregor E Morfill
- Max-Planck-Institut für extraterrestrische Physik, Giessenbachstr. 1, 85748 Garching, Germany.,BMSTU Centre for Plasma Science and Technology, Moscow, 105005, Russia
| | - Alexei V Ivlev
- Max-Planck-Institut für extraterrestrische Physik, Giessenbachstr. 1, 85748 Garching, Germany
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Laut I, Zhdanov SK, Räth C, Thomas HM, Morfill GE. Anisotropic confinement effects in a two-dimensional plasma crystal. Phys Rev E 2016; 93:013204. [PMID: 26871180 DOI: 10.1103/physreve.93.013204] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/03/2015] [Indexed: 11/07/2022]
Abstract
The spectral asymmetry of the wave-energy distribution of dust particles during mode-coupling-induced melting, observed for the first time in plasma crystals by Couëdel et al. [Phys. Rev. E 89, 053108 (2014)PLEEE81539-375510.1103/PhysRevE.89.053108], is studied theoretically and by molecular-dynamics simulations. It is shown that an anisotropy of the well confining the microparticles selects the directions of preferred particle motion. The observed differences in intensity of waves of opposed directions are explained by a nonvanishing phonon flux. Anisotropic phonon scattering by defects and Umklapp scattering are proposed as possible reasons for the mean phonon flux.
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Affiliation(s)
- I Laut
- Deutsches Zentrum für Luft- und Raumfahrt, Forschungsgruppe Komplexe Plasmen, 82234 Weßling, Germany
| | - S K Zhdanov
- Max Planck Institute for extraterrestrial Physics, 85741 Garching, Germany
| | - C Räth
- Deutsches Zentrum für Luft- und Raumfahrt, Forschungsgruppe Komplexe Plasmen, 82234 Weßling, Germany
| | - H M Thomas
- Deutsches Zentrum für Luft- und Raumfahrt, Forschungsgruppe Komplexe Plasmen, 82234 Weßling, Germany
| | - G E Morfill
- Max Planck Institute for extraterrestrial Physics, 85741 Garching, Germany.,BMSTU Centre for Plasma Science and Technology, Moscow, Russia
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9
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Ivlev AV, Röcker TB, Couëdel L, Nosenko V, Du CR. Wave modes in shear-deformed two-dimensional plasma crystals. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:063108. [PMID: 26172809 DOI: 10.1103/physreve.91.063108] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/09/2015] [Indexed: 06/04/2023]
Abstract
A theory of wave modes in shear-deformed two-dimensional plasma crystals is presented. Modification of the dispersion relations upon the pure and simple shear, and the resulting effect on the onset of the mode-coupling instability, are studied. In particular, it is explained why the velocity fluctuation spectra measured in experiments with sheared crystals exhibit asymmetric "hot spots": It is shown that the coupling of the in-plane compressional and the out-of-plane modes, leading to the formation of an unstable hybrid mode and generation of the hot spots, is enhanced in a certain direction determined by deformation.
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Affiliation(s)
- A V Ivlev
- Max-Planck-Institut für Extraterrestrische Physik, 85741 Garching, Germany
| | - T B Röcker
- Max-Planck-Institut für Extraterrestrische Physik, 85741 Garching, Germany
| | - L Couëdel
- CNRS, Aix Marseille Université, Laboratoire PIIM, 13397 Marseille Cedex 20, France
| | - V Nosenko
- Forschungsgruppe Komplexe Plasmen, Deutsches Zentrum für Luft- und Raumfahrt, 82234 Weßling, Germany
| | - C-R Du
- College of Science, Donghua University, Shanghai 201620, People's Republic of China
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10
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Williams JD. Time-resolved measurement of global synchronization in the dust acoustic wave. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 90:043103. [PMID: 25375610 DOI: 10.1103/physreve.90.043103] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/22/2014] [Indexed: 06/04/2023]
Abstract
A spatially and temporally resolved measurement of the synchronization of the naturally occurring dust acoustic wave to an external drive and the relaxation from the driven wave mode back to the naturally occuring wave mode is presented. This measurement provides a time-resolved measurement of the synchronization of the self-excited dust acoustic wave with an external drive and the return to the self-excited mode. It is observed that the wave synchronizes to the external drive in a distinct time-dependent fashion, while there is an immediate loss of synchronization when the external modulation is discontinued.
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Affiliation(s)
- J D Williams
- Department of Physics, Wittenberg University, Springfield, Ohio 45504, USA
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