# Radial Distribution Function for Sticky Hard Rods

Radial Distribution Function for Sticky Hard Rods

This Demonstration shows the exact statistical-mechanical radial distribution function of a one-dimensional system of so-called sticky hard rods (see the Details section). The Demonstration also presents 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 . The sliders let you control the maximum distance in the plot of , the packing fraction, and the stickiness parameter. Zero stickiness corresponds to the case of simple hard rods.

g(r)

βP/ρ

β=1/kT

P

ρ

β∂P/∂ρ

u/ϵ

ex

r/σ

max

g(r)