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Last years, there has been a renewed interest in the utilization of statistical field theory methods for the description of systems at equilibrium both in the vicinity and away from critical points, in particular in the field of liquid…

Statistical Mechanics · Physics 2012-07-02 Vincent Russier , Jean-Michel Caillol

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…

Statistical Mechanics · Physics 2020-05-06 Nikolai V. Brilliantov , J. Miguel Rubi , Yury A. Budkov

We present an exact field theoretical representation of the statistical mechanics of simple classical liquids with short-ranged pairwise additive interactions. The action of the field theory is obtained by performing a Hubbard-Stratonovich…

Statistical Mechanics · Physics 2009-11-07 J. - M. Caillol

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 another version of theory that was…

Statistical Mechanics · Physics 2009-11-11 Jean-Michel Caillol , Oksana Patsahan , Ihor Mryglod

In this paper we try to work out in detail the implications of a microscopic theory for capillary waves under the assumption that the density is given along lines normal to the interface. Our study provides interface Hamiltonians for…

Soft Condensed Matter · Physics 2017-11-07 Luis G. MacDowell

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 Yukhnovskii. The basis and the structure of the CV…

Statistical Mechanics · Physics 2007-05-23 Jean-Michel Caillol , Oksana Patsahan , Ihor Mryglod

We analyze a one-component simple fluid in a liquid-vapor coexistence state, which forms an arbitrarily curved interface. By using an approach based on density functional theory, we obtain an exact and simple expression for the grand…

Statistical Mechanics · Physics 2015-05-30 Jose G. Segovia-Lopez , Adolfo Zamora , J. A. Santiago

Thermally excited capillary waves at fluid interfaces in binary liquid mixtures exhibit simultaneously both density and composition fluctuations. Based on a density functional theory for inhomogeneous binary liquid mixtures we derive an…

Soft Condensed Matter · Physics 2009-11-11 Thorsten Hiester , S. Dietrich , Klaus Mecke

We have developed a new and general theory of nonuniform fluids that naturally incorporates molecular scale information into the classical van der Waals theory of slowly varying interfaces. Here the theory is applied to the liquid-vapor…

Statistical Mechanics · Physics 2007-05-23 Kirill Katsov , John D. Weeks

In this work we define a mean-field crossover generated by the Maxwell construction as the dividing interface for the vapor-liquid interface area. A highly accurate density-profile equation is thus derived, which is physically favorable and…

Soft Condensed Matter · Physics 2021-10-18 Hongqin Liu

A simple model is proposed for the direct correlation function (DCF) for simple fluids consisting of a hard-core contribution, a simple parametrized core correction, and a mean-field tail. The model requires as input only the free energy of…

Statistical Mechanics · Physics 2007-10-08 James F. Lutsko

This article reviews a new and general theory of nonuniform fluids that naturally incorporates molecular scale information into the classical van der Waals theory of slowly varying interfaces. The method optimally combines two standard…

Statistical Mechanics · Physics 2015-06-24 John D. Weeks

Using the collective variables (CV) method the basic relations of statistical field theory of a multicomponent non-homogeneous fluids are reconsidered. The corresponding CV action depends on two sets of scalar fields - fields…

Soft Condensed Matter · Physics 2012-07-02 Oksana Patsahan , Ihor Mryglod , Jean-Michel Caillol

These lecture notes want to illustrate the close connection between statistical mechanics and field theory not only on the formal level, i.e. that many concepts of one area can easily be taken over to the other one, but also on the level of…

High Energy Physics - Theory · Physics 2007-05-23 Gernot Münster , Harald Grießhammer , Dirk Lehmann

In the rough phase, the width of interfaces separating different phases of statistical systems increases logarithmically with the system size. This phenomenon is commonly described in terms of the capillary wave model, which deals with…

Statistical Mechanics · Physics 2013-06-17 Michael H. Köpf , Gernot Münster

Recently, the intrinsic sampling method has been developed in order to obtain, from molecular simulations, the intrinsic structure of the liquid-vapor interface that is presupposed in the classical capillary wave theory. Our purpose here is…

Soft Condensed Matter · Physics 2009-11-13 Daniel Duque , Pedro Tarazona , Enrique Chacón

Evidence for capillary waves at a liquid/vapor interface are presented from extensive molecular dynamics simulations of a system containing up to 1.24 million Lennard-Jones particles. Careful measurements show that the total interfacial…

Statistical Mechanics · Physics 2009-10-31 Scott W. Sides , Gary S. Grest , Martin-D. Lacasse

We construct the hydrodynamic theory of coherent collective motion ("flocking") at a solid-liquid interface. The polar order parameter and concentration of a collection of "active" (self-propelled) particles at a planar interface between a…

Soft Condensed Matter · Physics 2022-01-05 Niladri Sarkar , Abhik Basu , John Toner

Processes of propagation and interaction of nonlinear gravity-capillary waves on the free surface of a deep non-conducting liquid with high dielectric constant under the action of a tangential electric field are numerically simulated. The…

Fluid Dynamics · Physics 2018-10-10 Evgeny A. Kochurin , Nikolay M. Zubarev

The phase behavior of the primitive model of electrolytes is studied in the framework of various mean field approximations obtained recently by means of methods pertaining to statistical field theory (CAILLOL, J.-M., 2004, \textit{J. Stat.…

Statistical Mechanics · Physics 2009-11-10 J. -M. Caillol
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