Fractional Laplacian spectral approach to turbulence in a dusty plasma monolayer

Kostadinova, E. G.; Banka, R.; Padgett, J. L.; Liaw, C. D.; Matthews, L. S.; Hyde, T. W.

doi:10.1063/5.0047649

Title: Fractional Laplacian spectral approach to turbulence in a dusty plasma monolayer

Journal Article · 21 July 2021 · Physics of Plasmas

DOI: https://doi.org/10.1063/5.0047649 · OSTI ID:1853760

^[1];

^[2];

^[2]; Liaw, C. D. ^[3];

^[2];

^[2]

Baylor University, Waco, TX (United States); Auburn University, AL (United States); Baylor Univ., Waco, TX (United States)
Baylor University, Waco, TX (United States)
Baylor University, Waco, TX (United States); University of Delaware, Newark, DE (United States)

This work presents an analytical investigation of anomalous diffusion and turbulence in a dusty plasma monolayer, where energy transport across scales leads to the spontaneous formation of spatially disordered patterns. Many-body simulations of 10,000-particle dusty plasma monolayers are used to demonstrate how the global dynamics depend on the statistical properties of the dust assembly for realistic laboratory conditions. We find that disorder due to variations in the dust size distribution and charge-driven nonlocal interactions resulting in anomalous dust diffusion are key factors for the onset of instabilities. The resulting dynamics exhibit features of inertial turbulence over slightly more than half a decade of scales proportional or smaller than the Debye shielding length. These processes are examined analytically using a recently developed Fractional Laplacian Spectral (FLS) technique, which identifies the active energy channels as a function of scale, disorder concentration, and features of the nonlocal-interactions. The predictions from the theoretical (spectral) analysis demonstrate agreement with the results from the many-body (kinetic) simulations, thus providing a powerful tool for the study of active turbulence.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Baylor University, Waco, TX (United States)

Sponsoring Organization:: National Aeronautics and Space Administration (NASA); National Science Foundation (NSF); USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0021284

OSTI ID:: 1853760

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 7 Vol. 28; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (97)

Noctilucent clouds as possible indicators of global change in the mesosphere Thomas, G. E.; Olivero, J. Advances in Space Research, Vol. 28, Issue 7 https://doi.org/10.1016/s0273-1177(01)80021-1	journal	January 2001
Preferential concentration of heavy particles in a turbulent channel flow Fessler, John R.; Kulick, Jonathan D.; Eaton, John K. Physics of Fluids, Vol. 6, Issue 11 https://doi.org/10.1063/1.868445	journal	November 1994
Laser-excited intershell rotation of finite Coulomb clusters in a dusty plasma Klindworth, M.; Melzer, A.; Piel, A. Physical Review B, Vol. 61, Issue 12 https://doi.org/10.1103/physrevb.61.8404	journal	March 2000
Formation of liquidlike and crystalline structures in dusty plasmas Nefedov, A. P.; Petrov, O. F.; Molotkov, V. I. Journal of Experimental and Theoretical Physics Letters, Vol. 72, Issue 4 https://doi.org/10.1134/1.1320134	journal	August 2000
A series representation of the discrete fractional Laplace operator of arbitrary order Jones, Tiffany Frugé; Kostadinova, Evdokiya Georgieva; Padgett, Joshua Lee arXiv https://doi.org/10.48550/arxiv.2101.03629	preprint	January 2021
The role of the atmospheric electric field in the dust‐lifting process Esposito, F.; Molinaro, R.; Popa, C. I. Geophysical Research Letters, Vol. 43, Issue 10 https://doi.org/10.1002/2016GL068463	journal	May 2016
Anomalous and Fickian Diffusion in Two-Dimensional Dusty Plasmas Ott, T.; Bonitz, M. Contributions to Plasma Physics, Vol. 49, Issue 10 https://doi.org/10.1002/ctpp.200910089	journal	December 2009
Characterisation of charged hydrocarbon sprays for application in combustion systems Shrimpton, J. S.; Yule, A. J. Experiments in Fluids, Vol. 26, Issue 5 https://doi.org/10.1007/s003480050310	journal	April 1999
Approach to the Extended States Conjecture Liaw, Constanze Journal of Statistical Physics, Vol. 153, Issue 6 https://doi.org/10.1007/s10955-013-0879-5	journal	November 2013
Preferential concentration of particles by turbulence Eaton, J. K.; Fessler, J. R. International Journal of Multiphase Flow, Vol. 20 https://doi.org/10.1016/0301-9322(94)90072-8	journal	August 1994
Noctilucent clouds as possible indicators of global change in the mesosphere Thomas, G. E.; Olivero, J. Advances in Space Research, Vol. 28, Issue 7 https://doi.org/10.1016/S0273-1177(01)80021-1	journal	January 2001
Charged grains in Saturn’s F-Ring: interaction with Saturn’s magnetic field Matthews, L. S.; Hyde, T. W. Advances in Space Research, Vol. 33, Issue 12 https://doi.org/10.1016/S0273-1177(03)00462-9	journal	January 2004
The random walk's guide to anomalous diffusion: a fractional dynamics approach Metzler, Ralf; Klafter, Joseph Physics Reports, Vol. 339, Issue 1 https://doi.org/10.1016/S0370-1573(00)00070-3	journal	December 2000
Experimental observation of dust-acoustic wave turbulence Pramanik, J.; Veeresha, B. M.; Prasad, G. Physics Letters A, Vol. 312, Issue 1-2 https://doi.org/10.1016/S0375-9601(03)00614-5	journal	June 2003
Effect of multi-sized dust distribution on local plasma sheath potentials Sun, Meihong; Matthews, Lorin S.; Hyde, Truell W. Advances in Space Research, Vol. 38, Issue 11 https://doi.org/10.1016/j.asr.2005.02.105	journal	January 2006
Dynamics of a dust crystal with two different size dust species Matthews, L. S.; Qiao, K.; Hyde, T. W. Advances in Space Research, Vol. 38, Issue 11 https://doi.org/10.1016/j.asr.2005.06.037	journal	January 2006
Electrostatics and gas phase fluidized bed polymerization reactor wall sheeting Hendrickson, Gregory Chemical Engineering Science, Vol. 61, Issue 4 https://doi.org/10.1016/j.ces.2005.07.029	journal	February 2006
Computational and experimental study of electrostatics in gas–solid polymerization fluidized beds Rokkam, R. G.; Sowinski, A.; Fox, R. O. Chemical Engineering Science, Vol. 92 https://doi.org/10.1016/j.ces.2013.01.023	journal	April 2013
Experimental study of flow transitions in structured packed beds of spheres with electrochemical technique Bu, Shanshan; Yang, Jian; Dong, Qingtai Experimental Thermal and Fluid Science, Vol. 60 https://doi.org/10.1016/j.expthermflusci.2014.09.001	journal	January 2015
A series representation of the discrete fractional Laplace operator of arbitrary order Frugé Jones, Tiffany; Kostadinova, Evdokiya Georgieva; Padgett, Joshua Lee Journal of Mathematical Analysis and Applications, Vol. 504, Issue 1 https://doi.org/10.1016/j.jmaa.2021.125323	journal	December 2021
Computational fluid dynamics and electrostatic modeling of polymerization fluidized-bed reactors Rokkam, Ram G.; Fox, Rodney O.; Muhle, Michael E. Powder Technology, Vol. 203, Issue 2 https://doi.org/10.1016/j.powtec.2010.04.002	journal	November 2010
Parameterization of dispersion in two-dimensional turbulence Pasquero, C.; Provenzale, A.; Babiano, A. Journal of Fluid Mechanics, Vol. 439 https://doi.org/10.1017/S0022112001004499	journal	July 2001
Aircraft measurements of high average charges on cloud drops in layer clouds Beard, Kenneth V. Geophysical Research Letters, Vol. 31, Issue 14 https://doi.org/10.1029/2004GL020465	journal	January 2004
Production of space charge at the boundaries of layer clouds Zhou, Limin; Tinsley, Brian A. Journal of Geophysical Research, Vol. 112, Issue D11 https://doi.org/10.1029/2006JD007998	journal	January 2007
Elastic turbulence in a polymer solution flow Groisman, A.; Steinberg, V. Nature, Vol. 405, Issue 6782 https://doi.org/10.1038/35011019	journal	May 2000
Elastic turbulence in entangled semi-dilute DNA solutions measured with optical coherence tomography velocimetry Malm, A. V.; Waigh, T. A. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-01303-4	journal	April 2017
Viscoelastic polymer flows and elastic turbulence in three-dimensional porous structures Mitchell, Jonathan; Lyons, Kyle; Howe, Andrew M. Soft Matter, Vol. 12, Issue 2 https://doi.org/10.1039/C5SM01749A	journal	January 2016
The velocity distribution of barotropic turbulence Bracco, Annalisa; LaCasce, Joe; Pasquero, Claudia Physics of Fluids, Vol. 12, Issue 10 https://doi.org/10.1063/1.1288517	journal	January 2000
Diffusion and dynamics of macro-particles in a complex plasma Vaulina, O. S.; Vladimirov, S. V. Physics of Plasmas, Vol. 9, Issue 3 https://doi.org/10.1063/1.1449888	journal	March 2002
Initial measurement of the kinetic dust temperature of a weakly coupled dusty plasma Williams, Jeremiah D.; Thomas, Edward Physics of Plasmas, Vol. 13, Issue 6 https://doi.org/10.1063/1.2214640	journal	June 2006
Measurement of the kinetic dust temperature of a weakly coupled dusty plasma Williams, Jeremiah D.; Thomas, Edward Physics of Plasmas, Vol. 14, Issue 6 https://doi.org/10.1063/1.2741457	journal	June 2007
Onset of turbulence in a regular porous medium: An experimental study Horton, N. A.; Pokrajac, D. Physics of Fluids, Vol. 21, Issue 4 https://doi.org/10.1063/1.3091944	journal	April 2009
Generation of two-dimensional dust vortex flows in a direct current discharge plasma Uchida, Giichiro; Iizuka, Satoru; Kamimura, Tetsuo Physics of Plasmas, Vol. 16, Issue 5 https://doi.org/10.1063/1.3139252	journal	May 2009
Nonuniversal velocity probability densities in two-dimensional turbulence: The effect of large-scale dissipation Tsang, Yue-Kin Physics of Fluids, Vol. 22, Issue 11 https://doi.org/10.1063/1.3504377	journal	November 2010
Laser-induced rocket force on a microparticle in a complex (dusty) plasma Nosenko, V.; Ivlev, A. V.; Morfill, G. E. Physics of Plasmas, Vol. 17, Issue 12 https://doi.org/10.1063/1.3525254	journal	December 2010
Determination of the levitation limits of dust particles within the sheath in complex plasma experiments Douglass, Angela; Land, Victor; Qiao, Ke Physics of Plasmas, Vol. 19, Issue 1 https://doi.org/10.1063/1.3677360	journal	January 2012
Kolmogorov flow in two dimensional strongly coupled dusty plasma Gupta, Akanksha; Ganesh, R.; Joy, Ashwin Physics of Plasmas, Vol. 21, Issue 7 https://doi.org/10.1063/1.4890488	journal	July 2014
Charged particle dynamics in turbulence: Theory and direct numerical simulations Lu, Jiang; Shaw, Raymond A. Physics of Fluids, Vol. 27, Issue 6 https://doi.org/10.1063/1.4922645	journal	June 2015
Molecular dynamics study of flow past an obstacle in strongly coupled Yukawa liquids Charan, Harish; Ganesh, Rajaraman Physics of Plasmas, Vol. 23, Issue 12 https://doi.org/10.1063/1.4971449	journal	December 2016
Particle velocity distribution in a three-dimensional dusty plasma under microgravity conditions Liu, Bin; Goree, J.; Pustylnik, M. Y. INTERNATIONAL CONFERENCE FOR SCIENCE EDUCATORS AND TEACHERS (ISET) 2017: Proceedings of the 5th International Conference for Science Educators and Teachers (ISET) 2017, AIP Conference Proceedings https://doi.org/10.1063/1.5020393	conference	January 2018
Kinetic effects in a plasma crystal induced by an external electron beam Ticoş, Cătălin M.; Ticoş, Dorina; Williams, Jeremiah D. Physics of Plasmas, Vol. 26, Issue 4 https://doi.org/10.1063/1.5092749	journal	April 2019
Dust charging in dynamic ion wakes Matthews, Lorin Swint; Sanford, Dustin L.; Kostadinova, Evdokiya G. Physics of Plasmas, Vol. 27, Issue 2 https://doi.org/10.1063/1.5124246	journal	February 2020
Preferential concentration of heavy particles in a turbulent channel flow Fessler, John R.; Kulick, Jonathan D.; Eaton, John K. Physics of Fluids, Vol. 6, Issue 11 https://doi.org/10.1063/1.868445	journal	November 1994
Self-similar anomalous diffusion and Levy-stable laws Uchaikin, Vladimir V. Physics-Uspekhi, Vol. 46, Issue 8 https://doi.org/10.1070/PU2003v046n08ABEH001324	journal	August 2003
Meso-scale turbulence in living fluids Wensink, H. H.; Dunkel, J.; Heidenreich, S. Proceedings of the National Academy of Sciences, Vol. 109, Issue 36 https://doi.org/10.1073/pnas.1202032109	journal	August 2012
Physics of microswimmers—single particle motion and collective behavior: a review Elgeti, J.; Winkler, R. G.; Gompper, G. Reports on Progress in Physics, Vol. 78, Issue 5 https://doi.org/10.1088/0034-4885/78/5/056601	journal	April 2015
Gravitoelectrodynamics in Saturn s F ring: encounters with Prometheus and Pandora Matthews, Lorin Swint; Hyde, Truell W. Journal of Physics A: Mathematical and General, Vol. 36, Issue 22 https://doi.org/10.1088/0305-4470/36/22/349	journal	May 2003
Onset of Turbulent Flow in certain Arrays of Particles Fox, J. W. Proceedings of the Physical Society. Section B, Vol. 62, Issue 12 https://doi.org/10.1088/0370-1301/62/12/309	journal	December 1949
Stochastic low Reynolds number swimmers Golestanian, Ramin; Ajdari, Armand Journal of Physics: Condensed Matter, Vol. 21, Issue 20 https://doi.org/10.1088/0953-8984/21/20/204104	journal	April 2009
Experimental and computational characterization of a modified GEC cell for dusty plasma experiments Land, Victor; Shen, Erica; Smith, Bernard New Journal of Physics, Vol. 11, Issue 6 https://doi.org/10.1088/1367-2630/11/6/063024	journal	June 2009
Effect of dipole–dipole charge interactions on dust coagulation Matthews, L. S.; Hyde, T. W. New Journal of Physics, Vol. 11, Issue 6 https://doi.org/10.1088/1367-2630/11/6/063030	journal	June 2009
Elastic turbulence in curvilinear flows of polymer solutions Groisman, Alexander; Steinberg, Victor New Journal of Physics, Vol. 6 https://doi.org/10.1088/1367-2630/6/1/029	journal	January 2004
Circulation' dynamo in complex plasma Rubin-Zuzic, Milenko; Thomas, Hubertus M.; Zhdanov, Sergej K. New Journal of Physics, Vol. 9, Issue 2 https://doi.org/10.1088/1367-2630/9/2/039	journal	February 2007
The effects of electric forces on dust lifting: Preliminary studies with a numerical model Kok, J. F.; Renno, N. O. Journal of Physics: Conference Series, Vol. 142 https://doi.org/10.1088/1742-6596/142/1/012047	journal	December 2008
Delocalization for the 3D discrete random Schrödinger operator at weak disorder Liaw, Constanze; King, Westin; Kirby, Robert C. Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 30 https://doi.org/10.1088/1751-8113/47/30/305202	journal	July 2014
Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method Padgett, J. L.; Kostadinova, E. G.; Liaw, C. D. Journal of Physics A: Mathematical and Theoretical, Vol. 53, Issue 13 https://doi.org/10.1088/1751-8121/ab7499	journal	March 2020
The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers Kolmogorov, A. N. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 434, Issue 1890 https://doi.org/10.1098/rspa.1991.0075	journal	July 1991
Laser-excited intershell rotation of finite Coulomb clusters in a dusty plasma Klindworth, M.; Melzer, A.; Piel, A. Physical Review B, Vol. 61, Issue 12 https://doi.org/10.1103/PhysRevB.61.8404	journal	March 2000
Self-similar transport in incomplete chaos Zaslavsky, G. M.; Stevens, D.; Weitzner, H. Physical Review E, Vol. 48, Issue 3 https://doi.org/10.1103/PhysRevE.48.1683	journal	September 1993
Superdiffusion in two-dimensional Yukawa liquids Liu, Bin; Goree, J. Physical Review E, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevE.75.016405	journal	January 2007
Superdiffusion in quasi-two-dimensional Yukawa liquids Ott, T.; Bonitz, M.; Donkó, Z. Physical Review E, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevE.78.026409	journal	August 2008
Fluid modeling of void closure in microgravity noble gas complex plasmas Land, Victor; Matthews, Lorin S.; Hyde, Truell W. Physical Review E, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevE.81.056402	journal	May 2010
Observation of multifractal intermittent dust-acoustic-wave turbulence Tsai, Ya-Yi; Chang, Mei-Chu; I., Lin Physical Review E, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevE.86.045402	journal	October 2012
Mode couplings and resonance instabilities in dust clusters Qiao, Ke; Kong, Jie; Oeveren, Eric Van Physical Review E, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevE.88.043103	journal	October 2013
Superdiffusion and Non-Gaussian Statistics in a Driven-Dissipative 2D Dusty Plasma Liu, Bin; Goree, J. Physical Review Letters, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevLett.100.055003	journal	February 2008
Self-Diffusion in 2D Dusty-Plasma Liquids: Numerical-Simulation Results Hou, Lu-Jing; Piel, Alexander; Shukla, P. K. Physical Review Letters, Vol. 102, Issue 8 https://doi.org/10.1103/PhysRevLett.102.085002	journal	February 2009
Is Diffusion Anomalous in Two-Dimensional Yukawa Liquids? Ott, T.; Bonitz, M. Physical Review Letters, Vol. 103, Issue 19 https://doi.org/10.1103/PhysRevLett.103.195001	journal	November 2009
Crystallization Dynamics of a Single Layer Complex Plasma Hartmann, Peter; Douglass, Angela; Reyes, Jorge C. Physical Review Letters, Vol. 105, Issue 11 https://doi.org/10.1103/PhysRevLett.105.115004	journal	September 2010
Collective Effects in Vortex Movements in Complex Plasmas Schwabe, Mierk; Zhdanov, Sergey; Räth, Christoph Physical Review Letters, Vol. 112, Issue 11 https://doi.org/10.1103/PhysRevLett.112.115002	journal	March 2014
Emergent Bistability and Switching in a Nonequilibrium Crystal Gogia, Guram; Burton, Justin C. Physical Review Letters, Vol. 119, Issue 17 https://doi.org/10.1103/PhysRevLett.119.178004	journal	October 2017
Coupling of Noncrossing Wave Modes in a Two-Dimensional Plasma Crystal Meyer, J. K.; Laut, I.; Zhdanov, S. K. Physical Review Letters, Vol. 119, Issue 25 https://doi.org/10.1103/PhysRevLett.119.255001	journal	December 2017
Direct observation of Coulomb crystals and liquids in strongly coupled rf dusty plasmas Chu, J. H.; I., Lin Physical Review Letters, Vol. 72, Issue 25 https://doi.org/10.1103/PhysRevLett.72.4009	journal	June 1994
Plasma Crystal: Coulomb Crystallization in a Dusty Plasma Thomas, H.; Morfill, G. E.; Demmel, V. Physical Review Letters, Vol. 73, Issue 5 https://doi.org/10.1103/PhysRevLett.73.652	journal	August 1994
Two Dimensional Mechanism for Insect Hovering Jane Wang, Z. Physical Review Letters, Vol. 85, Issue 10 https://doi.org/10.1103/PhysRevLett.85.2216	journal	September 2000
Highly Resolved Fluid Flows: “Liquid Plasmas” at the Kinetic Level Morfill, Gregor E.; Rubin-Zuzic, Milenko; Rothermel, Hermann Physical Review Letters, Vol. 92, Issue 17 https://doi.org/10.1103/PhysRevLett.92.175004	journal	April 2004
Shear Flows and Shear Viscosity in a Two-Dimensional Yukawa System (Dusty Plasma) Nosenko, V.; Goree, J. Physical Review Letters, Vol. 93, Issue 15 https://doi.org/10.1103/PhysRevLett.93.155004	journal	October 2004
Self-Diffusion in a Liquid Complex Plasma Nunomura, S.; Samsonov, D.; Zhdanov, S. Physical Review Letters, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevLett.96.015003	journal	January 2006
Active Janus particles in a complex plasma Nosenko, V.; Luoni, F.; Kaouk, A. Physical Review Research, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevResearch.2.033226	journal	August 2020
Shear flow in a three-dimensional complex plasma in microgravity conditions Nosenko, V.; Pustylnik, M.; Rubin-Zuzic, M. Physical Review Research, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevResearch.2.033404	journal	September 2020
Numerical study of anomalous diffusion of light in semicrystalline polymer structures Kostadinova, E. G.; Padgett, J. L.; Liaw, C. D. Physical Review Research, Vol. 2, Issue 4 https://doi.org/10.1103/PhysRevResearch.2.043375	journal	December 2020
Kolmogorovian Active Turbulence of a Sparse Assembly of Interacting Marangoni Surfers Bourgoin, Mickael; Kervil, Ronan; Cottin-Bizonne, Cecile Physical Review X, Vol. 10, Issue 2 https://doi.org/10.1103/PhysRevX.10.021065	journal	June 2020
Experimental Measurement of Self-Diffusion in a Strongly Coupled Plasma Strickler, T. S.; Langin, T. K.; McQuillen, P. Physical Review X, Vol. 6, Issue 2 https://doi.org/10.1103/PhysRevX.6.021021	journal	May 2016
Active Particles in Complex and Crowded Environments Bechinger, Clemens; Di Leonardo, Roberto; Löwen, Hartmut Reviews of Modern Physics, Vol. 88, Issue 4 https://doi.org/10.1103/RevModPhys.88.045006	journal	November 2016
Effects of the Charge-Dipole Interaction on the Coagulation of Fractal Aggregates Matthews, L. S.; Hyde, T. W. IEEE Transactions on Plasma Science, Vol. 32, Issue 2 https://doi.org/10.1109/TPS.2004.826107	journal	April 2004
Charging and Growth of Fractal Dust Grains Matthews, Lorin S.; Hyde, Truell W. IEEE Transactions on Plasma Science, Vol. 36, Issue 1 https://doi.org/10.1109/TPS.2007.913923	journal	January 2008
Mode Couplings and Conversions for Horizontal Dust Particle Pairs in Complex Plasmas Qiao, Ke; Kong, Jie; Zhang, Zhuanhao IEEE Transactions on Plasma Science, Vol. 41, Issue 4 https://doi.org/10.1109/TPS.2012.2236361	journal	April 2013
Experimental studies of two‐dimensional and three‐dimensional structure in a crystallized dusty plasma Pieper, J. B.; Goree, J.; Quinn, R. A. Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 14, Issue 2 https://doi.org/10.1116/1.580118	journal	March 1996
Formation of liquidlike and crystalline structures in dusty plasmas Nefedov, A. P.; Petrov, O. F.; Molotkov, V. I. Journal of Experimental and Theoretical Physics Letters, Vol. 72, Issue 4 https://doi.org/10.1134/1.1320134	journal	August 2000
Wave turbulence observed in an auto-oscillating complex (dusty) plasma Zhdanov, S.; Schwabe, M.; Räth, C. EPL (Europhysics Letters), Vol. 110, Issue 3 https://doi.org/10.1209/0295-5075/110/35001	journal	May 2015
Coherent hydrodynamic coupling for stochastic swimmers Najafi, A.; Golestanian, R. EPL (Europhysics Letters), Vol. 90, Issue 6 https://doi.org/10.1209/0295-5075/90/68003	journal	June 2010
Shear flow instability at the interface among two streams of a highly dissipative complex plasma Heidemann, R.; Zhdanov, S.; Sütterlin, K. R. EPL (Europhysics Letters), Vol. 96, Issue 1 https://doi.org/10.1209/0295-5075/96/15001	journal	September 2011
Simplicity of singular spectrum in Anderson-type Hamiltonians Jakšić, Vojkan; Last, Yoram Duke Mathematical Journal, Vol. 133, Issue 1 https://doi.org/10.1215/S0012-7094-06-13316-1	journal	May 2006
The novel aerodynamics of insect flight: applications to micro-air vehicles Ellington, C. P. Journal of Experimental Biology, Vol. 202, Issue 23 https://doi.org/10.1242/jeb.202.23.3439	journal	December 1999
High-Lift Low Reynolds Number Airfoil Design Selig, Michael S.; Guglielmo, James J. Journal of Aircraft, Vol. 34, Issue 1 https://doi.org/10.2514/2.2137	journal	January 1997
Low-Reynolds-number separation on an airfoil Lin, J. C. Muti; Pauley, Laura L. AIAA Journal, Vol. 34, Issue 8 https://doi.org/10.2514/3.13273	journal	August 1996
The Gaseous Electronics Conference RF Reference Cell - An Introduction Olthoff, J. K.; Greenberg, K. E. Journal of Research of the National Institute of Standards and Technology, Vol. 100, Issue 4 https://doi.org/10.6028/jres.100.025	journal	July 1995
Dusty Plasma Studies in the Gaseous Electronics Conference Reference Cell Anderson, H. M.; Radovanov, S. B. Journal of Research of the National Institute of Standards and Technology, Vol. 100, Issue 4 https://doi.org/10.6028/jres.100.034	journal	July 1995

Similar Records

Experiments and Theory of Dusty Plasmas

Journal Article · 2011 · AIP Conference Proceedings · OSTI ID:21612193

Shukla, P K

Dusty plasmas in the vicinity of a large dielectric object in space

Journal Article · 1991 · Journal of Geophysical Research; (United States) · OSTI ID:5224431

Murphy, D L; Chiu, Y T

Characteristics of a dusty nonthermal plasma from a particle-in-cell Monte Carlo simulation

Journal Article · 1992 · Physical Review A. General Physics; (United States) · OSTI ID:6933458

Boeuf, J P

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
active turbulence
anomalous diffusion
complex (dusty) plasma
energy production
transmission and distribution
fluid flows
fractional Laplacian
fractional calculus
numerical linear algebra
operator theory
plasmas
probability theory
spectral approach
stochastic processes

Title: Fractional Laplacian spectral approach to turbulence in a dusty plasma monolayer

Citation Formats

References (97)

Similar Records

Related Subjects