Radial Distribution Function for Sticky Hard Rods

r

max

/σ

5

packing fraction

0.5

stickiness

0

β P

ρ

= 2.

β

∂P

∂ρ

= 4.

u

ex

ϵ

= 0.

This Demonstration shows the exact statistical-mechanical radial distribution function

g(r)

of a one-dimensional system of so-called sticky hard rods (see the Details section). The Demonstration also presents the values of the ratio

βP/ρ

(where

β=1/kT

is the inverse temperature,

P

is the pressure, and

ρ

is the number density), the scaled inverse isothermal compressibility

β∂P/∂ρ

, and the excess internal energy per particle

u

ex

/ϵ

. The sliders let you control the maximum distance

r

max

/σ

in the plot of

g(r)

, the packing fraction, and the stickiness parameter. Zero stickiness corresponds to the case of simple hard rods.