Effect of charge fluctuation on two dimensional dust clusters in elliptical confinement

Abstract

The structural and melting properties of two dimensional clusters consisting of finite positively charged dust particles are studied. The particles interact through a screened Coulomb potential in an elliptical confinement where Monte Carlo numerical simulation is performed for two different situations. The first one is dealing with constant dust charge and the second one with the charge fluctuation. It is showed that a ground state configuration and a transition from zigzag configuration to linear chain depend on the anisotropic parameter and the number of particles. The effect of charge fluctuation is found to be significant for lower positively charged dust particles. A comparison is made with numerical and experimental results.

Melting of strongly coupled, negatively charged, two‐dimensional dust cluster: The role of charge fluctuation amplitude

“…[26] Recently, Asgari et al have developed a model for non-Markovian systems. As a consequence of charge fluctuations, the critical eccentricity parameter corresponding to the transition from a zigzag configuration to a linear chain, for an ensemble of dust cluster confined in elliptical confinement, has a smaller value than that of a dust ensemble with constant charge 36 . [35][36][37] An important characteristic, making dust very different from ions, is that the charge is not a fixed quantity.…”

“…[19][20][21][22][23][24][25][26][27][28][29][30][31][32] In 1994, Cui and Goree developed a model devoted to finding the charge variation using Monte Carlo methods by using only the primary charging currents. [35][36][37] An important characteristic, making dust very different from ions, is that the charge is not a fixed quantity. Matsoukas et al examined the fluctuations as a Markov process.…”

“…[32] Other models may be used to explain diverse phenomena, especially in dust acoustic surface plasma waves, [33] shock waves, [34] and strongly coupled plasmas. [35][36][37] An important characteristic, making dust very different from ions, is that the charge is not a fixed quantity. For nanometre-sized dust of a complex plasma produced by heated RF, they can find their energy increased by up to several eV due to random charge fluctuation.…”

Phase Transition in Dust Clusters with Different Charging Processes

“…This potential also restricts the region of dust particles. A number of studies on the properties of charge fluctuation have been published [18,19]. The dust crystals are observed when the interaction energy of the closest neighbors is larger than the thermal energy, i.e., the coupling parameter Γ >> Γ c , Γ c is a critical value which depends on the space dimension [4,5].…”

“…The latter fluctuations, is the dominant charging aspect in strongly coupled dusty plasma [15][16][17]. A number of studies on the properties of charge fluctuation have been published [18,19]. Using Monte Carlo method, the charge fluctuation is found to be an additional heating source [20].…”