  We study reversible deterministic dynamics of classical charged particles on
a lattice with hard-core interaction. It is rigorously shown that the system
exhibits three types of transport phenomena, ranging from ballistic, through
diffusive to insulating. By obtaining an exact expressions for the current
time-autocorrelation function we are able to calculate the linear response
transport coefficients, such as the diffusion constant and the Drude weight.
Additionally, we calculate the long- time charge profile after an inhomogeneous
quench and obtain diffusive profile with the Green-Kubo diffusion constant.
Exact analytical results are corroborated by Monte-Carlo simulations.
