Viscoelasticity of 2D liquids quantified in a dusty plasma experiment.

The viscoelasticity of two-dimensional liquids is quantified in an experiment using a dusty plasma. An experimental method is demonstrated for measuring the wave-number-dependent viscosity η(k), which is a quantitative indicator of viscoelasticity. Using an expression generalized here to include friction, η(k) is computed from the transverse current autocorrelation function, which is found by tracking random particle motion. The transverse current autocorrelation function exhibits an oscillation that is a signature of elastic contributions to viscoelasticity. Simulations of a Yukawa liquid are consistent with the experiment.

[1]  Steinberg,et al.  Rigid and differential plasma crystal rotation induced by magnetic fields , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  G. Morfill,et al.  Complex plasmas: An interdisciplinary research field , 2009 .

[3]  M. Wolter,et al.  Laser heating of particles in dusty plasmas. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  P. Hartmann,et al.  Collective modes of quasi-two-dimensional Yukawa liquids. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  M. Bonitz,et al.  Is diffusion anomalous in two-dimensional Yukawa liquids? , 2009, Physical review letters.

[6]  R. F. Berg,et al.  Frequency-dependent viscosity of xenon near the critical point. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  A. Piel,et al.  Self-diffusion in 2D dusty-plasma liquids: numerical-simulation results. , 2008, Physical review letters.

[8]  Mason,et al.  Linear viscoelasticity of colloidal hard sphere suspensions near the glass transition. , 1995, Physical review letters.

[9]  Konopka,et al.  Measurement of the interaction potential of microspheres in the sheath of a rf discharge , 2000, Physical review letters.

[10]  Palmer.  Transverse-current autocorrelation-function calculations of the shear viscosity for molecular liquids. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[11]  Samsonov,et al.  Transverse waves in a two-dimensional screened-coulomb crystal (Dusty plasma) , 2000, Physical review letters.

[12]  V. Fortov,et al.  Experimental study of transport of macroparticles in plasma RF-discharge , 2008 .

[13]  B. Alder,et al.  Generalized transport coefficients for hard spheres , 1983 .

[14]  Chia-ling Chan,et al.  Microstructural evolution and irreversibility in the viscoelastic response of mesoscopic dusty-plasma liquids. , 2007, Physical review letters.

[15]  Melzer,et al.  Experimental investigation of the melting transition of the plasma crystal. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  Sprenger,et al.  Comparison of melting in three and two dimensions: Microscopy of colloidal spheres. , 1990, Physical review. B, Condensed matter.

[17]  J. Goree,et al.  Rapid heating and cooling in two-dimensional Yukawa systems. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Balucani,et al.  Transverse current and generalized shear viscosity in liquid rubidium. , 1987, Physical review. A, General physics.

[19]  P. Hartmann,et al.  Two-dimensional Yukawa liquids: correlation and dynamics. , 2004, Physical review letters.

[20]  On the response of an ionic liquid to external perturbations and the calculation of shear viscosity. , 2007, The journal of physical chemistry. B.

[21]  G. Morfill,et al.  Wave spectra in solid and liquid complex (dusty) plasmas. , 2005, Physical review letters.

[22]  M D Shattuck,et al.  Crystallization of a quasi-two-dimensional granular fluid. , 2006, Physical review letters.

[23]  Bin Liu,et al.  Superdiffusion and non-Gaussian statistics in a driven-dissipative 2D dusty plasma. , 2008, Physical review letters.

[24]  J. Goree,et al.  Solid superheating observed in two-dimensional strongly coupled dusty plasma. , 2008, Physical review letters.

[25]  J. Goree,et al.  Laser method of heating monolayer dusty plasmas , 2006 .

[26]  J. Goree,et al.  Cutoff wave number for shear waves in a two-dimensional Yukawa system (dusty plasma). , 2006, Physical review letters.

[27]  Bin Liu,et al.  Accurate particle position measurement from images. , 2007, The Review of scientific instruments.

[28]  J. Rasmussen,et al.  Superdiffusion and viscoelastic vortex flows in a two-dimensional complex plasma. , 2006, Physical review letters.

[29]  B. Liu,et al.  Radiation pressure and gas drag forces on a melamine-formaldehyde microsphere in a dusty plasma , 2003 .

[30]  C. C. Grimes,et al.  Evidence for a Liquid-to-Crystal Phase Transition in a Classical, Two-Dimensional Sheet of Electrons , 1979 .