The tumbler

What I have been busy with

Over the past year, is persistent random walk.

Or, what they call nowadays : activity.

A lonely particle, constrained on a line

But free to hop either to its left or to the right,

With a bias, hidden from gentleman's eyes

Turns diffusive at long enough times.

So one asks, where does the fun lie?
Searches for fingerprints of an active life
Large fluctuations, moments aren't fine
A classical tumbler recounts its prime.

A boring model, you say?
Sprinkle bits of interaction if you may.
Suddenly you have a new phase space
The game reverses, as phantoms reign
What emerges then,
Is a highly non-diffusive tail.