Effective Magnetic Hamiltonian and Ginzburg Criterion for Fluids

Details Effective Magnetic Hamiltonian and Ginzburg Criterion for Fluids Effective Magnetic Hamiltonian and Ginzburg Criterion for Fluids

1998-03-12

arxiv.org/abs/cond-mat/9803154v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, LaTeX, To appear in Phys.Rev.E

Scientific paper

10.1103/PhysRevE.58.2628

We develop further the approach of Hubbard and Schofield (Phys.Lett., A40 (1972) 245), which maps the fluid Hamiltonian onto a magnetic one. We show that all coefficients of the resulting effective Landau-Ginzburg-Wilson (LGW) Hamiltonian may be expressed in terms of the compressibility of a reference fluid containing only repulsive interactions, and its density derivatives; we calculate the first few coefficients in the case of the hard-core reference fluid. From this LGW-Hamiltonian we deduce approximate mean-field relations between critical parameters and test them on data for Lennard-Jones, square-well and hard-core-Yukawa fluids. We estimate the Ginzburg criterion for these fluids.

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