Rutherford is credited for discovering the nucleus of the atom. This occurred after he performed his famous gold foil experiment - by exposing a source of alpha particles to a gold foil to see how the particles deflected against the atoms of the foil, he discovered that the observed pattern only made sense when he considered the idea of a nucleus in this situation.
No its not possible in that yes heat flow is due to temperature different but with time equilibrium in temperature is reached hence there is no temperature difference at both ends at this time
