"Hot" nuclear fusion (this is not the term normally used) is
exactly what the name implies, the materials are heated, which
provides them with enough energy to overcome the normal repulsion
of protons.
Cold nuclear fusion requires no heating and has not yet been
proved, although dozens of Physicists and Electro-Chemists have
claimed to have created cold fusion. Cold Fusion relies on other
forces, such as pressure, to overcome the electrostatic force of
repulsion.