Generalized principle of corresponding states and the scale invariant mean-field approach

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

doi:10.1063/1.3496468

Cited by 16 publications

(43 citation statements)

References 39 publications

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“…The temperature of transition in the mean-field approximation [31,32] can be determined from the following condition…”

Section: -6mentioning

confidence: 99%

Phase transition in a cell fluid model

Kozlovskii¹,

Dobush²

2017

Condens. Matter Phys.

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We propose a method of describing a phase transition in a cell fluid model with pair interaction potential that includes repulsive and attractive parts. An exact representation of the grand partition function of this model is obtained in the collective variables set. The behavior of the system at temperatures below and above the critical one is explored in the approximation of a mean-field type. An explicit analytic form of the equation of state which is applicable in a wide range of temperatures is derived, taking into account an equation between chemical potential and density. The coexistence curve, the surface of the equation of state and the phase diagram of the cell Morse fluid are plotted.

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“…The temperature of transition in the mean-field approximation [31,32] can be determined from the following condition…”

Section: -6mentioning

confidence: 99%

Phase transition in a cell fluid model

Kozlovskii¹,

Dobush²

2017

Condens. Matter Phys.

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“…Also this option can be tested via the calculation of the CP locus and the binodal of the LJ fluid using the corresponding information about lattice gas (Ising model). This was done in [16,17]. In following section we review these results.…”

Section: ð3:14þmentioning

confidence: 89%

“…They include the coordinates of the Lennard-Jones (LJ) fluids in different dimensions and the relation with thermodynamical potential of the lattice gas (Ising model). Discussion of physical basis of the linearities (3.1) and (3.3) on the liquid-vapor part of the phase diagram of the fluids follows the results of [14,16]. We expand some arguments of [16], and give corrected interpretation of the Batchinski law in a way consistent with the van der Waals approximation for the EoS.…”

Section: ð3:5þmentioning

confidence: 95%

“…Discussion of physical basis of the linearities (3.1) and (3.3) on the liquid-vapor part of the phase diagram of the fluids follows the results of [14,16]. We expand some arguments of [16], and give corrected interpretation of the Batchinski law in a way consistent with the van der Waals approximation for the EoS. Also we derive the relation between the thermodynamic potentials for the continuum and the lattice models of fluids.…”

Section: ð3:5þmentioning

confidence: 95%

“…Recently, simple geometrical formulation of the results on the Zeno line, the LRD and the triangle of liquid-gas states was proposed in [14] and developed in series of publications [15][16][17]. It is based on the fact that the lines of the phase equilibria determine the partitions for the space of thermodynamic states.…”

Section: ð3:5þmentioning

confidence: 99%

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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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