When compressed, certain lattices undergo phase transitions that may allow nuclei to gain sig-
nificant kinetic energy. To explore the dynamics of this phenomenon, we develop a methodology
to study Coulomb coupled N-body systems constrained to a sphere, as in the Thomson problem.
We initialize N total Boron nuclei as point particles on the surface of the sphere, allowing them to
equilibrate via Coulomb scattering with a viscous damping term. To simulate a phase transition,
we remove Nrm particles, forcing the system to rearrange into a new equilibrium. With this model,
we consider the Thomson problem as a dynamical system, providing a framework to explore how
non-zero temperature affects structural imperfections in Thomson minima. We develop a scaling
relation for the average peak kinetic energy attained by a single particle as a function of N and
Nrm. For certain values of N , we find an order of magnitude energy gain when increasing Nrm from
1 to 6. The model may help to design a lattice that maximizes the energy output.