IWNET12
IWNET12
Liquid-Gas Spinodal and the Interfacial Properties from the Lattice
Gas-Fluid Isomorphism Approach
V.L. Kulinskii1
1 Odessa University, Department of Theoretical Physics, 2 Dvoryanskaya Str., Odessa 65026, Ukraine
Abstract
We use the approach [1] of the global isomorphism between lattice gas and uid to calculate both the binodal
and the spinodal curves of the molecular liquid from the corresponding characteristics of the lattice gas (Ising
model) in 2D and 3D cases. This isomorphism is expressed in the relations:
x
zt
Tc
n = n∗
,
T = T∗
,
z =
,
(1)
1 + zt
1 + zt
T∗ − Tc
between the density and temperature variables of the uid and the lattice gas correspondingly. These relations
map the equilibrium states of the lattice gas to the states of the uid. We discuss the relations between the
thermodynamic potentials of these systems and use them to calculate the liquid-gas spinodal curve surface
tension and the Tolman length. The dependence of the range of the stability of the liquid phase on the relevant
parameters of the potential is discussed. The results are compared with the numerical data [2].
References
[1] V. Kulinskii, Global isomorphism between the Lennard-Jones uids and the Ising model, J. Chem. Phys,
133 (2010) 034121
[2] A. R. Imre, G. Mayer, G. Házi, R. Rozas, and T. Kraska, Estimation of the liquid-vapor spinodal from
interfacial properties obtained from molecular dynamics and lattice Boltzmann simulations, J. Chem. Phys.
128, 114708 (2008); doi: 10.1063/1.2837805
E-mail: kulinskij@onu.edu.ua

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