Breakdown of the Jarzynski relation for an adiabatic stretching of an isotropic spring

We perform a theoretical test of Jarzynski relation for an adiabatic stretching of an isotropic spring, which is an exactly solvable model. It turns out that Jarzynski relation does not hold even when the entire infinite momentum space of the system state is taken into account, in contradiction to recent arguments supporting Jarzynski relation.