  In this topical review, we give an overview of the structure and dynamics of
a single polymer chain in active baths, Gaussian or non-Gaussian. The review
begins with the discussion of single flexible or semiflexible linear polymer
chains subjected to two noises, thermal and active. The active noise has either
Gaussian or non-Gaussian distribution but has a memory, accounting for the
persistent motion of the active bath particles. This finite persistence makes
the reconfiguration dynamics of the chain slow as compared to the purely
thermal case and the chain swells. The active noise also results superdiffusive
or ballistic motion of the tagged monomer. We present all the calculations in
details but mainly focus on the analytically exact or almost exact results on
the topic, as obtained from our group in recent years. In addition, we briefly
mention important works of other groups and include some of our new results.
The review concludes with pointing out the implications of polymer chains in
active bath in biologically relevant context and its future directions.
