Perturbation Theories for the Thermodynamic Properties of Fluids and Solids

Notation

Latin Letters

a In general, a parameter. In particular, the van der

Waals parameter

b In general, a parameter. In particular, the covolume

B(r) Bridge function

B

2

Second virial coefficient

c(r) Direct correlation function

ˆc(k) Fourier transform of the direct correlation function

c

(n)

(r

1

, r

2

, ..., r

n

) n-particle direct correlation function

C (r) Effective one-body potential

C

(

r

1

, r

2

, ..., r

n

)

Functional derivative of order n − 1ofC (r) with

respect to the density

e Absolute value of the charge of the electron

f Number of degrees of freedom of the system

F Helmholtz free energy

f (r) Mayer function

f

E

(ρ) Excess free energy per particle

F(r) Intermolecular ...