  This paper shows that several known properties of the Yukawa system can be
derived from the isomorph theory, which applies to any system that has strong
correlations between its virial and potential-energy equilibrium fluctuations.
Such "Roskilde-simple" systems have a simplified thermodynamic phase diagram
deriving from the fact that they have curves (isomorphs) along which structure
and dynamics in reduced units are invariant to a good approximation. We show
that the Yukawa system has strong virial potential-energy correlations and
identify its isomorphs by two different methods. One method, the so-called
direct isomorph check, identifies isomorphs numerically from jumps of
relatively small density changes (here 10%). The second method identifies
isomorphs analytically from the pair potential. The curves obtained by the two
methods are close to each other; these curves are confirmed to be isomorphs by
demonstrating the invariance of the radial distribution function, the static
structure factor, the mean-square displacement as a function of time, and the
incoherent intermediate scattering function. Since the melting line is
predicted to be an isomorph, the theory provides a derivation of a known
approximate analytical expression for this line in the temperature-density
phase diagram. The paper's results give the first demonstration that the
isomorph theory can be applied to systems like dense colloidal suspensions and
strongly coupled dusty plasmas.
