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So, I just learnt that by developing potential between two points of a conducting wire, the electrons rush towards the point with high potential due to the electric field generated by it. Also that resistance is due to collisions of the electrons with the atoms.

I was wondering if we could create a very high potential difference between two points and let the current flow for a long time; will the collisions of the electrons decrease the resistance of the wire due to the atoms with which collide with the electrons would get displaced and give way to the electrons?

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The collisions will heat the conductor (and the power is proportional to the square of the potential) which acts to increase the resistance. See, for example: hyperphysics.phy-astr.gsu.edu/hbase/electric/restmp.html –  Alfred Centauri Jun 19 '13 at 20:14
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