Estimation of screening length and electric charge on particles in single-layered dusty plasma crystals

Totsuji, Chieko; Liman, M. Sanusi; Tsuruta, Kenji; Totsuji, Hiroo

doi:10.1103/physreve.68.017401

Cited by 12 publications

(2 citation statements)

References 12 publications

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“…This choice overestimates the potential at the edge by a factor that approximates the number 2 as κ R m increases. By placing the potential φ of equation (5) into equation (19) we obtain an expression relating x m and R m…”

Section: Boundary and Normalization Conditionsmentioning

confidence: 99%

“…The scale invariance of the theory is broken when position dependent FSE (small κ R m ) or correlation effects (small ρ/κ 2 ) are taken into account. Using the latter, Totsuji et al [19] were able to obtain approximate values of κ and q 2 , for a given V 0 , by considering the α-dependence of R 2 m ρ(0). Their results are applicable with the assumption that α 1.…”

Section: Scale Invariancementioning

confidence: 99%

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Continuum theory for two-dimensional complex plasma clusters

Pereira¹,

Silva²,

Apolinario³

2013

New J. Phys.

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We develop a theoretical approach to obtain a new differential equation together with a new boundary condition for the density profile of twodimensional clusters and apply it to the complex plasma case. In addition, we use the local-density approximation for the interaction energy and consider finite size effects. In this case, our differential equation and the previously used reduce to the same. By using the new boundary condition, a scale invariance appears and the obtained scale function can be used in many systems beyond complex plasmas. The obtained equations are confronted with molecular dynamics simulations. We find that the dependence of the system's size and the density profile with the number of particles, N , agrees very well with the results obtained from simulations. The theory has a surprisingly good accuracy for small systems (8 < N < 500). Moreover, we find by simulations that, for a given external potential, the final configuration from an experiment or simulation can provide us, at most, with two possible values for each interaction parameter, the charge and the screening length.

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Section: Boundary and Normalization Conditionsmentioning

confidence: 99%

Section: Scale Invariancementioning

confidence: 99%

Continuum theory for two-dimensional complex plasma clusters

Pereira¹,

Silva²,

Apolinario³

2013

New J. Phys.

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Structure of finite two-dimensional systems of dust particles at finite temperatures

Totsuji

Liman

et al. 2005

Physics of Plasmas

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The structure of confined two-dimensional systems of dust particles in dusty plasmas is analyzed at finite temperatures by numerical simulations and theoretical approaches. The finite Yukawa system is adopted as a model for these systems and the variational method which has been successful in reproducing structures at low temperatures is extended to finite temperatures through replacement of the cohesive energy by the Helmholtz free energy recently given in the form of simple interpolation formulas. The results are compared with those of numerical simulations and their satisfactory agreement has been obtained. Finite-temperature structures presented here will be useful to evaluate the physical parameters of the two-dimensional systems of dust particles often formed near the boundary between the plasma bulk and the sheath.

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Shear viscosity and diffusion motion of two-dimensional dusty plasma liquids

Shahzad

2012

Phys. Scr.

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A molecular dynamics method for studying diffusion motion and shear viscosity is presented for two-dimensional (2D) plasma liquids. The calculations obtained by using the mean-squared displacement (MSD), velocity autocorrelation function (VACF) and the shear autocorrelation function indicate that there is a diffusive motion for the lower coupling range of strongly coupled liquid states. In the MSD test, both states of a transition phase from normal diffusion to superdiffusion, and the extreme superdiffusion at intermediate coupling strength are dependent on screening strengths. The simulation data show that the position of extreme superdiffusion shifts towards higher coupling with an increase in screening strength, and the superdiffusion is nearly in a constant motion for higher coupling. A smooth transition from normal diffusion to superdiffusion exhibits the existence of superdiffusion at intermediate coupling strengths in the VACF test. A valid shear viscosity exists only at the intermediate and higher coupling parameters. It seems that the present calculations cannot establish a coupling between the viscosity and diffusion in 2D Yukawa liquids.

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Estimation of screening length and electric charge on particles in single-layered dusty plasma crystals

Cited by 12 publications

References 12 publications

Continuum theory for two-dimensional complex plasma clusters

Continuum theory for two-dimensional complex plasma clusters

Structure of finite two-dimensional systems of dust particles at finite temperatures

Shear viscosity and diffusion motion of two-dimensional dusty plasma liquids

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