Statistical field theory for simple fluids: The collective variables representation
@article{Caillol2005StatisticalFT, 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={2005}, volume={368}, pages={326-344} }
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References
SHOWING 1-10 OF 50 REFERENCES
New mean-field theories for the liquid–vapour transition of charged hard spheres
- Physics
- 2005
The phase behaviour of the primitive model of electrolytes is studied in the framework of the various mean-field approximations obtained recently by means of methods pertaining to statistical field…
Sine-Gordon Theory for the Equation of State of Classical Hard-Core Coulomb Systems. III. Loopwise Expansion
- Physics
- 2004
We present an exact field theoretical representation of an ionic solution made of charged hard spheres. The action of the field theory is obtained by performing a Hubbard–Stratonovich transform of…
Phase transitions of the second order : collective variables method
- Physics
- 1987
This book gives an original and up-to-date theory of the second order phase transitions based on the effective functional integral method. Unlike previous works, this theory is constructed ab initio,…
Some applications of the Lambert W function to classical statistical mechanics
- Mathematics, Physics
- 2003
We apply the recently defined Lambert W function to some problems of classical statistical mechanics, i.e. the Tonks gas and a fluid of classical particles interacting via repulsive pair potentials.…
A Collective Description of Electron Interactions. I. Magnetic Interactions
- Physics
- 1951
A new approach to the treatment of the interactions in a collection of electrons is developed, which we call the collective description. The collective description is based on the organized behavior…