Expanding from the previous
sub-chapter: Waals equation of state. Analysing the phenomenon of condensation through
statistical mechanics acts to ‘connect’ the macroscopic properties of
thermodynamic systems from microscopic behaviour. (REF) Statistical mechanics aims
to model complex particle behaviour by use of equations of state. As we have
reviewed the van der Waals equation of state, it mathematically had some
limitation in application: fails to predict gas-liquid vapour coexistence (as seen
previously). However, considering van der Waals proposed his equation of state in
1873, it can be seen as a successful achievement as aspects are still used in modern-day
equations of state: Lennard-Jones Potential. Such equations are utilised for computational
modelling. Computers can accurately process the complicated equations and provide
realistic simulated behaviour of complex particle systems featuring
multifaceted intermolecular forces. The Lennard-Jones Potential can realistically
model two-particle behaviour. (REF) As it incorporates several aspects from
other equations of states: van der Waals and Pauli repulsive forces. It includes
the  attractive force from Waals equation of state
and  from Pauli repulsive forces. This amalgamation
provides an advanced yet realistic equation to model particle behaviour found
in systems. Furthermore, it is easy to modify to adapt to new systems.

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