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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.
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