The two-dimensional one-component plasma (2dOCP) is a system of
N
mobile particles of the same charge
q on a surface with a
neutralising background.
The Boltzmann factor of the 2dOCP at temperature
T can be expressed as a Vandermonde determinant to the
power
Γ = q2/(kBT). Recent advances in the theory of
symmetric and anti-symmetric Jack polymonials provide an efficient way
to expand this power of the Vandermonde in their monomial basis,
allowing the computation of several thermodynamic and structural
properties of the 2dOCP for
N values up to 14 and
Γ equal to
4, 6 and 8.
In this work, we present some applications of this formalism.
Presentación de Gabriel
