Thermodynamics and phase transitions in two-dimensional Yukawa systems

Ваулина, О. С.; Koss, X. G.

doi:10.1016/j.physleta.2014.10.004

Cited by 11 publications

(8 citation statements)

References 34 publications

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“…The order of a phase transition is usually determined from the nature of the change of various thermodynamic parameters. Our [11]. Another signature of the sharp first order transition is seen in the variation of the dust temperature with pressure as shown in Fig.…”

supporting

confidence: 62%

“…At high neutral pressures (beyond p = 6.9 Pa), the coupling parameter is estimated around ∼ 200 and hence the dusty plasma system remains at crystalline state [27] over this range of neutral gas pressure. An abrupt decrease in Γ from 200 to 8 is found when the gas pressure is reduced from 6.9 Pa to 6.7 Pa, which essentially demonstrates the phase transition of a dusty plasma crystal to a dusty plasma liquid [11,27]. It is worth mentioning that the coupling parameter becomes almost twenty-five fold with a pressure variation of only 0.2 Pa, which is one of the salient features of a first order phase transition.…”

mentioning

confidence: 96%

“…3(a). Vaulina et al determined the phase state (whether liquid, hexatic or crystalline) of a Yukawa system by estimating the coupling parameter in their simulation study [11]. According to their findings, the dust system remains in liquid state when Γ is less than 98, the hexatic phase is between 98 and 154 and finally the crystalline state happens when Γ is greater than 154.…”

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confidence: 99%

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Experimental observation of a first-order phase transition in a complex plasma monolayer crystal

et al. 2020

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The formation and melting of a mono-layered charged dust particle crystal in a DC glow discharge Argon plasma is studied. The nature of the melting/formation process is established as a first order phase transition from the nature of the variations in the Coulomb coupling parameter, the dust temperature, the structural order parameter and from the existence of a hysteresis behavior. Our experimental results are distinctly different from existing theoretical predictions for 2D crystals based on the KTHNY mechanism or the Grain boundary induced melting and indicate a novel mechanism that is akin to a fluctuation induced first order phase transition that has not been observed before in complex plasmas. PACS numbers: 52.27.Lw, 52.35.Fp, 52.35.Sb Introduction.-The phase behaviour of two dimensional structures, particularly the nature of their melting transition, has long been a subject of theoretical and experimental interest and also the source of some controversy. Some commonly studied two dimensional structures are molecular monolayers formed by surfactants spread on a water layer [1], electrons on the surface of liquid Helium [2], colloidal suspensions of charged sub-micron spheres [3] and more recently single layer crystalline structures of charged micro-particles (dust) suspended in the electric sheath of a plasma [4][5][6][7]. Two dimensional structures have also been the subject of many computer simulations based on simple theoretical model systems [8][9][10][11]. The most well known theory for two dimensional melting is the one proposed by KTHNY [12] which describes the melting as a two stage transition process with an intermediate hexatic phase. The melting begins by forming dislocations and disclinations in the 2D crystalline structure and as a result the long range translational order breaks down and leads to a hexatic phase. The transitions from the solid to the hexatic and then on to the liquid phase are both continuous in nature constituting second order transitions. Other competing mechanisms of melting consist of the Grain-boundary induced (GBI) melting theory [13,14], the density wave theory [15] and the instability triggered theory [16]. The GBI melting [13,14] proceeds through long arrays of dislocations at the lattice boundaries that drive a first order phase transition from the crystalline phase directly to the liquid phase. Density wave theory [15] deals with the change of entropy and structure factor variations, but it fails to establish the order of the phase transition. Likewise simulation studies to date do not provide a definitive picture of the nature of the 2D melting phase transition and the question still remains open.The advent of dusty plasma crystals in recent times has provided a strong impetus to the experimental study of 2D melting since the process can be well diagnosed using non-perturbative techniques and a number of such studies have addressed this problem [4,6,7,[17][18][19]. In

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Experimental observation of a first-order phase transition in a complex plasma monolayer crystal

et al. 2020

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“…Thermodynamic properties of 2D Yukawa systems have been of considerable continuous interest in the last couple of decades, largely in the context of complex plasmas. 12,13,[54][55][56][57][58] However, to the best of our knowledge, no comprehensive results across coupling regimes along with simple and reliable approximations convenient for practical use have been proposed. In the present paper, we study systematically thermodynamics of 2D Yukawa systems in a very broad parameter regime, from very weakly interacting gaseous state to strongly interacting fluid and solid states.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of two-dimensional Yukawa systems across coupling regimes

Kryuchkov

Khrapak

Yurchenko

2017

The Journal of Chemical Physics

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Thermodynamics of two-dimensional Yukawa (screened Coulomb or Debye-Hückel) systems is studied systematically using molecular dynamics (MD) simulations. Simulations cover very broad parameter range spanning from weakly coupled gaseous states to strongly coupled fluid and crystalline states. Important thermodynamic quantities, such as internal energy and pressure, are obtained and accurate physically motivated fits are proposed. This allows us to put forward simple practical expressions to describe thermodynamic properties of two-dimensional Yukawa systems. For crystals, in addition to numerical simulations, the recently developed shortest-graph interpolation method is applied to describe pair correlations and hence thermodynamic properties. It is shown that the finite-temperature effects can be accounted for by using simple correction of peaks in the pair correlation function. The corresponding correction coefficients are evaluated using MD simulation. The relevance of the obtained results in the context of colloidal systems, complex (dusty) plasmas, and ions absorbed to interfaces in electrolytes is pointed out.

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“…structures (depending on external conditions). Various thermodynamic properties and physical phenomena have been studied for the Yukawa potential, both in 2D and 3D . Recently the elastic properties of three dimensional monodisperse Yukawa system were studied and it was shown that the system is partially auxetic ().…”

Section: Introductionmentioning

confidence: 99%

Elastic properties of mono‐ and polydisperse two‐dimensional crystals of hard‐core repulsive Yukawa particles

Narojczyk

Pigłowski

Wojciechowski

et al. 2015

Physica Status Solidi (b)

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Monte Carlo simulations of mono‐ and polydisperse two‐dimensional crystals are reported. The particles in the studied system, interacting through hard‐core repulsive Yukawa potential, form a solid phase of hexagonal lattice. The elastic properties of crystalline Yukawa systems are determined in the NpT ensemble with variable shape of the periodic box. Effects of the Debye screening length (κ−1), contact value of the potential (ε), and the size polydispersity of particles on elastic properties of the system are studied. The simulations show that the polydispersity of particles strongly influences the elastic properties of the studied system, especially on the shear modulus. It is also found that the elastic moduli increase with density and their growth rate depends on the screening length. Shorter screening length leads to faster increase of elastic moduli with density and decrease of the Poisson's ratio. In contrast to its three‐dimensional version, the studied system is non‐auxetic, i.e., shows positive Poisson's ratio.

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Thermodynamics and phase transitions in two-dimensional Yukawa systems

Cited by 11 publications

References 34 publications

Experimental observation of a first-order phase transition in a complex plasma monolayer crystal

Experimental observation of a first-order phase transition in a complex plasma monolayer crystal

Thermodynamics of two-dimensional Yukawa systems across coupling regimes

Elastic properties of mono‐ and polydisperse two‐dimensional crystals of hard‐core repulsive Yukawa particles

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