# Molecular fields and statistical field theory of fluids: Application to interface phenomena.

@article{Brilliantov2020MolecularFA,
title={Molecular fields and statistical field theory of fluids: Application to interface phenomena.},
author={Nikolai V. Brilliantov and J. Miguel Rub{\'i} and Yu A Budkov},
journal={Physical review. E},
year={2020},
volume={101 4-1},
pages={
042135
}
}
• Published 1 April 2020
• Physics, Medicine
• Physical review. E
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…
4 Citations

## Figures and Topics from this paper

On the equivalence of self-consistent equations for nonuniform liquids: a unified description of the various modifications
A variety of self-consistent (SC) equations have been proposed for non-uniform states of liquid particles under external fields, including adsorbed states at solid substrates and confined states in
Disjoining pressure in vapor layers near planar and spherical lyophobic surfaces
• Materials Science
• 2021
Abstract A classical square-gradient density functional theory is used for describing disjoining pressure in vapor layers between a lyophobic planar smooth solid substrate and stable bulk liquid, and
Statistical field theory of ion-molecular solutions.
• Y. Budkov
• Medicine, Physics
Physical chemistry chemical physics : PCCP
• 2020
The theoretical developments in the statistical field theory of salt solutions of zwitterionic and multipolar molecules, based on the Hubbard-Stratonovich integral transformation, are summarized and a new oscillating behavior of the electrostatic field potential of the point-like test ion at long distances is found.
ϕ4theory Hamiltonian for fluids: Application to the surface tension near the critical point
• Physics, Mathematics
Physical Review B
• 2020
We show that the coefficients of the Hamiltonian for the $O(N)$ symmetric $\phi^4$ field theory in $N=1$ limit, may be expressed in terms of the known properties of the reference (hard-core) system:

## References

SHOWING 1-10 OF 92 REFERENCES
Statistical field theory for simple fluids: The collective variables representation
• Mathematics, Physics
• 2006
An alternative representation of an exact statistical field theory for simple fluids, based on the method of collective variables, is presented. The results obtained are examined from the point of
Statistical field theory for liquid vapor interface
• Physics, Mathematics
• 2009
A statistical field theory for an inhomogeneous liquid, a planar liquid/vapor interface, is devised from first principles. The grand canonical partition function is represented via a
Statistical field theory for simple fluids: mean field and Gaussian approximations
We present an exact field theoretical representation of the statistical mechanics of simple classical liquids with short-range pairwise additive interactions. The action of the field theory is
Effective Hamiltonian analysis of fluid criticality and application to the square–well fluid
• Physics
• 1998
The critical behavior of fluids is analyzed in terms of an effective Hamiltonian which is obtained by a Hubbard–Schofield transformation that maps the fluid Hamiltonian onto a Wilson–Fisher
The collective variables representation of simple fluids from the point of view of statistical field theory
• Mathematics, Physics
• 2005
The collective variable representation (CV) of classical statistical systems such as simple liquids has been intensively developed by the Ukrainian school after seminal works by Prof. Ihor
A variational field theory for solutions of charged, rigid particles
A general field theoretic formalism is developed for dealing with solutions of particles with rigid charge distributions. Combined with the mean-field approximation, the resulting theory extends the
Statistical theory of fluids with a complex electric structure: Application to solutions of soft-core dipolar particles
• Y. Budkov
• Chemistry, Physics
Fluid Phase Equilibria
• 2019
Abstract Based on the thermodynamic perturbation theory (TPT) and the random phase approximation (RPA), we present a statistical theory of solutions of electrically neutral soft molecules, every of
Molecular dynamics simulation of the liquid–vapor interface: The Lennard-Jones fluid
• Chemistry
• 1997
In this work we present new molecular dynamics simulation results for the liquid–vapor interface of the pure Lennard-Jones fluid. Our aims were further investigations on the simulation setup and the
Nonlocal statistical field theory of dipolar particles in electrolyte solutions.
• Y. Budkov
• Medicine, Physics
Journal of physics. Condensed matter : an Institute of Physics journal
• 2018
It is shown that in the limit of a small permanent dipole moment, the functional in integrand exponent takes the well known form of the Poisson-Boltzmann-Langevin (PBL) functional.
EFFECTIVE MAGNETIC HAMILTONIAN AND GINZBURG CRITERION FOR FLUIDS
We develop further the approach of Hubbard and Schofield [Phys. Lett. 40A, 245 (1972)], which maps the fluid Hamiltonian onto a magnetic one. We show that all coefficients of the resulting effective