Surface Tension of the Liquid–Vapor Interface of the Lennard-Jones Fluids from the Ising Model

Kulinskii, V. L.; Maslechko, A.

doi:10.1021/acs.jpcc.6b02083

Cited by 3 publications

(10 citation statements)

References 74 publications

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“…In [18] it was shown that the phenomenological expression (25) is in agreement with the basic Trietzenberg -Zwanzig formula for the surface tension [48]:…”

Section: Effective Width Of Interfacementioning

confidence: 58%

“…These results encourage us to apply the global isomorphism relations to the surface tension. Earlier [18] it was shown how to use the results for the surface tension of the Ising model in order to get the surface tension of the molecular fluids in a wide temperature region.…”

Section: Global Isomorphism and The Zeno-linementioning

confidence: 99%

“…The factor 1/4 in Eqs. (18) and (20) appears due to the definition of the interaction constant of the Ising model. We check the validity of our approach by applying Eq.…”

Section: Relation Between Critical Amplitudes For Surface Tension Of mentioning

confidence: 99%

“…Yet the very definition of the interfacial width varies in different studies, since there is an arbitrariness in choosing the quantitative measure of where the surface begins [44]. In [18] it was shown how it is possible to define this quantity in an intrinsic manner directly from the Ornstein-Zernike relation, and the following expression for the surface tension of the lattice gas was suggested:…”

Section: Effective Width Of Interfacementioning

confidence: 99%

“…To relate the value of the interfacial width ∆ with the correlation length of the Ising model we use a simple scaling transformation [18]:…”

Section: Effective Width Of Interfacementioning

confidence: 99%

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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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“…In [18] it was shown that the phenomenological expression (25) is in agreement with the basic Trietzenberg -Zwanzig formula for the surface tension [48]:…”

Section: Effective Width Of Interfacementioning

confidence: 58%

Section: Global Isomorphism and The Zeno-linementioning

confidence: 99%

“…The factor 1/4 in Eqs. (18) and (20) appears due to the definition of the interaction constant of the Ising model. We check the validity of our approach by applying Eq.…”

Section: Relation Between Critical Amplitudes For Surface Tension Of mentioning

confidence: 99%

Section: Effective Width Of Interfacementioning

confidence: 99%

“…To relate the value of the interfacial width ∆ with the correlation length of the Ising model we use a simple scaling transformation [18]:…”

Section: Effective Width Of Interfacementioning

confidence: 99%

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Surface tension of molecular liquids: Lattice gas approach

Maslechko

Glavatskiy

Kulinskii

2017

Journal of Molecular Liquids

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A Lennard-Jones based surface tension analogy model for liquid breakup

Brown

Pierce

Tencer

2022

Chemical Engineering Research and Design

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Influence of ion structure and solvent electric dipole on ultrananoporous supercapacitor: a lattice model study

Zhou¹,

Zhou²

2022

Phys. Scr.

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A five-state modified BEG model is proposed for describing aqueous electrolyte in cylindrical pore so narrow that only one row of particles can be stationed. Two properties the closest to the actual situation of the aqueous electrolyte are integrated into the model: cation is dimer comprised of two tangentially tethered hard spheres of different diameters: one is charged, while the other is neutral, and solvent is modeled as neutral hard sphere with an electric dipole. The system partition function is obtained by numerically solving maximum real root of characteristic equation of Kramers-Wannier transfer matrix. The present theory reduces to that by the Rochester et al by making both the cation neutral sphere size and electric dipole moment of the solvent equal to zero. The model is used to investigate effects of cation shape and electric valence, solvent electric dipole moment, and cylindrical pore radius on specific differential capacitance and specific energy storage in electric double layer supercapacitor formed inside the cylindrical pore. Main findings are briefly described below. (i) With dimer counter-ion electric valence changing from 1 to 2, the peak becomes higher, and the peak position becomes nearer to the zero charge potential; as a comprehensive effect of these changes, the dimer counter-ion electric valence does not exert obvious influence on the saturation value , but reduces the threshold electrode potential strength , beyond which the value is just and approximately reached. (ii) Whether the dimer counter-ion is monovalent or bivalent, the peak height and the value tend to rise with the dimer neutral site size decreasing, but influence of the value on the value is very small. Only when the value is small enough, the value rises a little with decrease of the value. (iii) Increase of solvent electric dipole moment (wheth

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Surface Tension of the Liquid–Vapor Interface of the Lennard-Jones Fluids from the Ising Model

Cited by 3 publications

References 74 publications

Surface tension of molecular liquids: Lattice gas approach

Surface tension of molecular liquids: Lattice gas approach

A Lennard-Jones based surface tension analogy model for liquid breakup

Influence of ion structure and solvent electric dipole on ultrananoporous supercapacitor: a lattice model study

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