Statistical field theory for simple fluids: mean field and Gaussian approximations
- 10 June 2003
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 101 (11) , 1617-1634
- https://doi.org/10.1080/0026897031000068488
Abstract
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 obtained by performing a Hubbard-Stratonovich transformation of the configurational Boltzmann factor. The mean field and Gaussian approximations of the theory are derived and applications to the liquid-vapour transition considered.Keywords
All Related Versions
This publication has 19 references indexed in Scilit:
- The density functional theory of classical fluids revisitedJournal of Physics A: General Physics, 2002
- Effective magnetic Hamiltonian and Ginzburg criterion for fluidsPhysical Review E, 1998
- Scaling fields and universality of the liquid-gas critical pointPhysical Review Letters, 1992
- Revised Scaling Equation of State at the Liquid-Vapor Critical PointPhysical Review A, 1973
- Wilson theory of a liquid-vapour critical pointPhysics Letters A, 1972
- Critical Point in Liquid-Gas TransitionsPhysical Review Letters, 1964
- A note on Green functions and the Ising modelPhysics Letters, 1963
- Partition functions as averages of functionals of gaussian random functionsPhysica, 1960
- The statistical thermodynamics of a gas with long and short-range forcesPhilosophical Magazine, 1959
- Calculation of Partition FunctionsPhysical Review Letters, 1959