Originally by: Harener
Basically, what you are proposing would mean anything that uses potential energy would heat up towards infinity because they "can generate heat faster than any heatsink [basically the environment in the general case] can sink it", which of course is impossible; entropy must always increase. The maximum heat capacity for solids is around 3 R per mole.
If an oxy-acetylene torch is focussed on the end of a steel rod you can raise the temperature of the heated end until it is a running liquid while the other end is still cool enough to hold.
the heated end is gaining energy faster than the rod can sink it.
Welding wouldn't work otherwise...