We derive analogues of the Jarzynski equality and Crooks relation to
characterise the nonequilibrium work associated with changes in the spring
constant of an overdamped oscillator in a quadratically varying spatial
temperature profile. The stationary state of such an oscillator is described by
Tsallis statistics, and the work relations for certain processes may be
expressed in terms of q-exponentials. We suggest that these identities might be
a feature of nonequilibrium processes in circumstances where Tsallis
distributions are found
