Diffusion with a drift

There's a one dimensional line, near-by

Randomness is its environmental science

There's a tale of two diffusing particles

Crisscrossing inertly for large enough time;

And then, a field came into being

The particles tasted the Telegrapher's sting.

A new steady state, more or less achieved

Spoke of a gap, that was ever increasing.

But why am I bothered? I am, but active;

And the active case is next to be studied.

But that's how Physics enters the circuit
Some lives are only diffusion with a drift.