Radial Distribution Function for One-Dimensional Square-Well and Square-Shoulder Fluids
Radial Distribution Function for One-Dimensional Square-Well and Square-Shoulder Fluids
In statistical mechanics, the radial distribution function represents the distribution of interparticle separations [1].
This Demonstration shows the results of exact statistical-mechanical computations of the radial distribution function and the structure factor [2] for a one-dimensional system of particles interacting via square-well and square-shoulder potentials [3, 4]. We also find the values of the ratio (where is the inverse temperature, is the pressure, and is the number density), the scaled inverse isothermal compressibility , and the excess internal energy per particle /ϵ. Sliders let you control the width of the square well or shoulder, the reduced temperature, and the packing fraction. The quantities and /ϵ are also plotted as functions of the packing fraction.
g(r)
S(k)
βP/ρ
β=1/kT
P
ρ
β∂P/∂ρ
u
ex
βP/ρ
u
ex