thermoelectric effect

Thermoelectric effect and electron flow;

If I take a piece of wire and heat it unevenly very hot toward one end and cooler toward the other then does a small electric current flow in any part?1

What if I stand this up toward the Earth, is it hot toward the center? Is the process different if I use pressure or electron flooding (added: along or throught a cone shaped wedge of wire toward the point, rads or amps per square cm) to create heat?

What if I use extreme pressure to create heat, keeping one end of the wire under increasing pressure toward that end and toward the other only regular atmospheric pressures, with the final pressures being enormous. Surely under such extreme pressure toward one end the wire will grow very hot. Does electric current flow the same direction?

Question: If I provide large amounts of matter under enormous pressure thus creating moderate or extreme heating toward the center as the point pressure increases, surely I find that many electrons given up to heat through the processes present. Then noting all liquids are capable of evaporation and with that process of evaporation largely contained, and so noting there is also minimal cycling of the melted materials, do I not expect to find any change when modelling this on large scale that there is an electron flow in toward the hot center - a contained mass cannot give up electrons indefinitely without growing stable as the pressure is equalised and cooling whereas if there electrons are continuously given up to heat then they could continue to arrive for an indefinite forward amount of time, and creating heat (giving something heaps of electrons makes it hot) - especially in an environment providing large scale available electron input as in the example of Earth? Further, the Earth being surrounded continuously by charged mass as first the gaseous atmosphere, and then beyond, should see a differential of potential between the center of the Earth and at the surface, hence current flow by even simple potential differential. We do see lightning on occasion noting the atmosphere has potential difference to earth.