“…For example, in the specific system considered in [21], a thermodynamic Otto cycle is induced by the modulation of the laser detuning. Here instead we propose two self-contained optomechanical setups, that we call the single cavity engine and the cascade engine, in which a temperature gradient between two thermal baths is exploited for inducing self-sustained oscillations (phonon lasing [24][25][26][27][28][29]) of a mechanical resonator, in the absence of external forces and external control. In this sense our approach is similar to the analysis of the finite dimensional thermal machines introduced in [11,30], to the 'cooling by heating' setup proposed in [31] and to the concept of Brownian motors reviewed in [32,33].…”