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Configuration integral
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The classical configuration integral, more commonly called the partition function, and

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Encyclopedia
The classical configuration integral, more commonly called the partition function, and
sometimes referred to as
the configurational partition function,
for a system with
particles
is defined as follows:
-
where
is
the volume enclosing the
particles,
a constant defined as
-
with
being the
Boltzmann constant
the
thermodynamic temperature
the potential energy of interparticle forces,
the positions in the 3-D space
of the
particles, with
and
the
coordinate of the
particle,
and
an infinitesimal volume.
The configuration integral has many applications from
the ligand-receptor binding affinity in
biochemistry to turbulence in fluid mechanics.
For a detailed derivation, see the comprehensive article.
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