Unified Picture for the Classical Laws of Batschinski and the Rectilinear Diameter for Molecular Fluids

Bulavin, L. A.; Kulinskii, V. L.

doi:10.1021/jp201872f

Cited by 16 publications

(32 citation statements)

References 50 publications

(172 reference statements)

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“…3.7) which is close to the theoretical estimation T c =T Ã ¼ 1=3 for 3D LJ fluid. Also this justifies the estimate for the amplitude of the 3D LJ fluid obtained in [37]. The results for the amplitude of the isomorphic lattice gas model b 0 obtained from (3.57) are shown in Fig.…”

Section: Relation Between the Entropies Of The Lg And Lj Fluidsupporting

confidence: 83%

“…As was shown in [17,37] the parameter z can be related with the scaling property of the attractive potential U attr ðrÞ/ À 1=r m :…”

Section: The Relation Between the Thermodynamic Potentials Of The Flumentioning

confidence: 83%

“…According to (3.8) it is possible to calculate the state the LJ fluids based on the information about the lattice model [17,22,37] (see Fig. 3.2).…”

Section: The Relation Between the Thermodynamic Potentials Of The Flumentioning

confidence: 99%

See 2 more Smart Citations

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: Relation Between the Entropies Of The Lg And Lj Fluidsupporting

confidence: 83%

“…As was shown in [17,37] the parameter z can be related with the scaling property of the attractive potential U attr ðrÞ/ À 1=r m :…”

Section: The Relation Between the Thermodynamic Potentials Of The Flumentioning

confidence: 83%

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Global Isomorphism Approach: Main Results and Perspectives

Bulavin

Cheplak

Kulinskii

2015

Springer Proceedings in Physics

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“…Thus, the Zeno-line regularity has been used in the studying the surface tension of molecular liquids [18]. This approach is based on the relation between thermodynamic potentials of the lattice gas and the LJ fluid stated in [27]. In particular, Eq.…”

Section: Global Isomorphism and The Zeno-linementioning

confidence: 99%

Surface tension of molecular liquids: Lattice gas approach

Maslechko

Glavatskiy

Kulinskii

2017

Journal of Molecular Liquids

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The approach of global isomorphism between the fluid and the Ising model is applied to obtain an expression for the surface tension of the Lennard-Jones fluid on the basis of the information about the Ising model. This is done in a broad interval of temperatures along the phase coexistence, and is valid both in 2D and 3D. The relation between the critical amplitudes of the surface tension of the fluid and the Ising model is derived in the vicinity of the critical point. The obtained theoretical estimates agree well with the literature results for the surface tension. The methodology is demonstrated for the 2D LJ fluid on the basis of the exact solution of the 2D Ising model and is tested for the 3D LJ fluid. As a result, an expression for the surface tension without any fitting parameter is derived.

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“…This circumstance reflects the symmetry of the particle-hole/spin-antispin system, which is lacking in real liquids owing to the finite size of the particles and the unrestricted growth of the potential at short distances. Kulinskii showed [21,31,32] …”

Section: Isomorphism Between the Lattice Models And The Real Substancesmentioning

confidence: 99%

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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Unified Picture for the Classical Laws of Batschinski and the Rectilinear Diameter for Molecular Fluids

Cited by 16 publications

References 50 publications

Global Isomorphism Approach: Main Results and Perspectives

Global Isomorphism Approach: Main Results and Perspectives

Surface tension of molecular liquids: Lattice gas approach

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

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