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Updated: Dec 21, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Molecular fields and statistical field theory of fluids: Application to interface phenomena
Nikolai V Brilliantov1, J Miguel Rubí2, Yury A Budkov3
1Skolkovo Institute of Science and Technology (Skoltech), 121205, Moscow, Russia and Department of Mathematics, University of Leicester, Leicester LE1 7RH, United Kingdom.
Abstract:
Using the integral transformation, the field-theoretical Hamiltonian of the statistical field theory of fluids is obtained along with the microscopic expressions for the coefficients of the Hamiltonian. Applying this approach to the liquid-vapor interface, we derive an explicit analytical expression for the surface tension in terms of temperature, density, and parameters of the intermolecular potential. We also demonstrate that a clear physical interpretation may be given to the formal statistical field arising in the integral transformation-it may be associated with the one-body local microscopic potential. The results of the theory, lacking any ad hoc or fitting parameters are in good agreement with available simulation data.
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