  The interest in active matter stimulates the need to generalize thermodynamic
description and relations to active matter systems, which are intrinsically out
of equilibrium. One important example is the Jarzynski relation, which links
the exponential average of work done in an arbitrary process connecting two
equilibrium states with the difference of the free energies of these states.
Using a simple model system, a single thermal active Ornstein-Uhlenbeck
particle in a harmonic potential, we show that if the standard stochastic
thermodynamics definition of work is used, the Jarzynski relation is not
generally valid for processes between stationary states of active matter
systems.
