The confirmation of the critical point-Zeno-line similarity set from the numerical modeling data for different interatomic potentials

Apfelbaum, E. M.; Воробьев, В. С.

doi:10.1063/1.3151982

Cited by 53 publications

(125 citation statements)

References 32 publications

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“…The applications to the surface tension and the spinodal are also possible [65]. It is interesting to elaborate the approach to other potentials like Yukawa or square well which also known to lead to the linearities of the diameter and the Zeno-line for corresponding range of parameters (see [27] and references therein). Here the invariant z should be related with the parameters of these potentials function.…”

Section: Discussionmentioning

confidence: 99%

Global Isomorphism Approach: Main Results and Perspectives

Bulavin

Cheplak

Kulinskii

2015

Springer Proceedings in Physics

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In this chapter we review main results of the Global Isomorphism approach and discuss possible routes for further studies. The approach is based on the minimal geometric reformulation of the (approximate) linearities of the binodal diameter and the unit compressibility line (Batschinsky law). Explicit relations between the thermodynamic functions of the Lattice Gas model and the fluid within the framework of the approach proposed earlier in [V.L. Kulinskii, J. Phys. Chem. B 114 2852 (2010)] are discussed. On this basis we show that the critical compressibility factor of molecular fluids can be related with that of the lattice gas. We show how the associative properties of a fluid can be taken into account via the structure of the isomorphic lattice. Also we derive the relation between the entropies of a fluid and its lattice analog. The entropy of the fluid is decomposed into symmetrical and asymmetrical parts. We demonstrate that such decomposition is consistent with the basic Clausius-Clapeyron relation and the binodal asymmetry represented by the law of the rectilinear diameter.

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Section: Discussionmentioning

confidence: 99%

Global Isomorphism Approach: Main Results and Perspectives

Bulavin

Cheplak

Kulinskii

2015

Springer Proceedings in Physics

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“…With the help of this property, a rather general equation for the liquid branch of the binodal on the density-temperature plane can be derived [15,16]. It is based on the general three-term Guggenheim equation [25]: (16) In Eq. (16), the superscripts Liq and Gas refer to the liquid and the gas branches of the binodal, respectively.…”

Section: Thermophysical Properties Of Materialsmentioning

confidence: 99%

“…(2) (Here, one should bear in mind the limited radius of convergence of the virial series.) However, the parameters of the line are determined through virial coefficients and their derivatives [16] as follows:…”

Section: Thermophysical Properties Of Materialsmentioning

confidence: 99%

“…However, the new scaling laws are not necessarily related to the WE, like, for example, the law of the rectilinear diameter of a binodal [3]. They may concern various characteristics of a substance at the critical point and along the phase transition lines [3][4][5][6][7][8][9] or can be related to the universal behavior of some geometric lines on the phase plane [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. Some combinations are also possible [21].…”

Section: Introductionmentioning

confidence: 99%

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The generalized scaling laws based on some deductions from the van der Waals equation

Воробьев

Apfelbaum

2016

High Temp

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Some thermodynamic relations that follow from the van der Waals equation are considered. It is shown that they are applicable to real substances and model systems described by absolutely different equations of state. These relations are associated with definite geometric lines on the density-temperature plane.The data for the model systems that substantiate the derived regularities were calculated by numerical simulation methods. For real substances, the relevant databases constructed according to experiments were used. It has also been established by numerical simulation that the limitations of the regularities under investigation are related to the nature of attraction in the interparticle interaction potential.

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“…They rely upon the Zeno-line relations 16,22,23 eqs 4−10. However, these relations can be violated for some substances 16 and models.…”

Section: ■ Expression For Liquid and Gas Coexistence Curvesmentioning

confidence: 99%

The Wide-Range Method to Construct the Entire Coexistence Liquid–Gas Curve and to Determine the Critical Parameters of Metals

Apfelbaum

Воробьев

2015

J. Phys. Chem. B

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A method to find the liquid-gas critical parameters of metallic elements is offered. It takes into account a nonanalytic behavior in the critical point vicinity and the Clapeyron-Clausius asymptotic behavior at low temperatures. The present approach provides good agreement with experimental data for a wide wealth of non-metallic substances and mercury and alkali metals, where the critical parameters and binodals are known from the measurements. We have also found the critical parameters and binodals for Al, Cu, Fe, and Zr, for which corresponding measurements are yet to be obtained.

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The confirmation of the critical point-Zeno-line similarity set from the numerical modeling data for different interatomic potentials

Cited by 53 publications

References 32 publications

Global Isomorphism Approach: Main Results and Perspectives

Global Isomorphism Approach: Main Results and Perspectives

The generalized scaling laws based on some deductions from the van der Waals equation

The Wide-Range Method to Construct the Entire Coexistence Liquid–Gas Curve and to Determine the Critical Parameters of Metals

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