 03304 Paolo Butta', Emanuele Caglioti, Carlo Marchioro
 On the violation of Ohm's law for bounded interactions
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Jun 25, 03

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Abstract. We study the motion of a charged particle in a constant electric field
interacting via Newton's law with an infinitely extended system of
particles. We discuss conditions on the particle/medium interaction
which are necessary for the charged particle to reach a finite limit
velocity. For small electric field intensity, the linear response
theory states that the drift velocity should be directly proportional
to the field (Ohm's law). In the framework of fully Hamiltonian
systems, we support the thesis that Ohm's law validity needs the
interaction particle/medium to be unbounded. We prove this
statement in a onedimensional model, by showing that for bounded
interactions the velocity of the charged particle increases linearly
in time.
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