  The dynamics and thermodynamics of melting in two-dimensional Coulomb
clusters is revisited using molecular dynamics and Monte Carlo simulations.
Several parameters are considered, including the Lindemann index, the largest
Lyapunov exponent and the diffusion constant. In addition to the orientational
and radial melting processes, isomerizations and complex size effects are seen
to occur in a very similar way to atomic and molecular clusters. The results
are discussed in terms of the energy landscape represented through
disconnectivity graphs, with proper attention paid to the broken ergodicity
problems in simulations. Clusters bound by 1/r^3 and e^{-\kappa r}/r forces,
and heterogeneous clusters made of singly- and doubly-charged species, are also
studied, as well as the evolution toward larger systems.
