# Statistical field theory for simple fluids: The collective variables representation

@article{Caillol2006StatisticalFT, title={Statistical field theory for simple fluids: The collective variables representation}, author={J. M. Caillol and Oksana Patsahan and Ihor Mryglod}, journal={Physica A-statistical Mechanics and Its Applications}, year={2006}, volume={368}, pages={326-344} }

## 17 Citations

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

- PhysicsPhysical review. E
- 2020

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 to derive an explicit analytical expression for the surface tension in terms of temperature, density, and parameters of the intermolecular potential.

### Field-theoretic simulations beyond δ-interactions: Overcoming the inverse potential problem in auxiliary field models.

- MathematicsThe Journal of chemical physics
- 2021

This study outlines the inverse potential problem and presents an alternative approach on the basis of a saddle-point approximation, enabling the use of a richer set of pair interaction functions in field-theoretic models.

### Self-consistent field theory of density correlations in classical fluids

- PhysicsPhysical Review E
- 2018

More than half of a century has passed since the free energy of classical fluids defined by second Legendre transform was derived as a functional of density-density correlation function. It is now…

### On the equivalence of self-consistent equations for nonuniform liquids: a unified description of the various modifications

- Physics
- 2021

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…

### Statistical field theory of ion-molecular solutions.

- PhysicsPhysical 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.

### Role of the reference system in study of fluid criticality by effective LGW Hamiltonian approach

- Physics
- 2017

### A mesoscopic field theory of ionic systems versus a collective variable approach

- Physics
- 2006

We establish a link between the two functional approaches: a mesoscopic field theory developed recently by Ciach and Stell (2000 J. Mol. Liq. 87 253) for the study of ionic models and an exact…

### Mesoscopic theory for inhomogeneous mixtures

- Physics
- 2011

Mesoscopic density functional theory for inhomogeneous mixtures of spherical particles is developed in terms of mesoscopic volume fractions by a systematic coarse-graining procedure starting form…

### Multiscale modeling of polymer materials using field-theoretic methodologies: a survey about recent developments

- Physics
- 2008

Understanding the chemistry and physics of polymer systems challenges scientists from a wide spectrum of research areas, ranging from polymer science to molecular electronic structure theory. One of…

### Grand canonical investigations of prototypical polyelectrolyte models beyond the mean field level of approximation.

- Materials SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2007

This paper presents applications of a low-cost field-theoretic calculation approach based on the method of Gaussian equivalent representation, which has recently been proven useful for delivering accurate results in case of polymer solutions beyond the mean field level of approximation.

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