Statistical field theory for simple fluids: the collective variables representation
arXiv:cond-mat/0503213 · doi:10.1016/j.physa.2005.11.010
Abstract
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 developed recently by performing a Hubbard-Stratonovich transformation of the configurational Boltzmann factor [J.-M. Caillol, Mol. Phys. 101 (2003) 1617]. The analytical expressions for the pressure and the free energy are derived in two-loop approximation for both versions of theory and it is shown that they are indeed equivalent.The results yield a new type approximation within an untested approximation scheme.
References in corpus (4)
- Some applications of the Lambert W function to classical statistical mechanics
- Sine-Gordon Theory for the Equation of State of Classical Hard-Core Coulomb systems. III Loopwise Expansion
- Statistical Field Theory for Simple fluids : Mean Field and Gaussian Approximations
- New mean field theories for the liquid-vapor transition of charged hard spheres
Cited by in corpus (14)
- Density functional theory for soft matter with mesoscopic length scale fluctuations included within field-theoretic formalism
- Statistical field theory of ion-molecular solutions
- Mesoscopic theory for inhomogeneous mixtures
- Vapour-liquid phase diagram for an ionic fluid in a random porous medium
- Gas-liquid critical point in ionic fluids
- Molecular fields and statistical field theory of fluids. Application to interface phenomena
- A self-consistent field theory of density correlations in classical fluids
- The method of collective variables: a link with the density functional theory
- Vapour-liquid critical parameters of a : primitive model of ionic fluids confined in disordered porous media
- A mesoscopic field theory of ionic systems versus a collective variable approach
- Exact Renormalization Group : A New Method for Blocking the Action
- On the equivalence of self-consistent equations for nonuniform liquids: a unified description of the various modifications
- Diagrammatics for the Inverse Problem in Spin Systems and Simple Liquids
- A Bottom-Up Field-Theoretic Framework via Hierarchical Coarse-Graining: Generalized Mode Theory