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In a previous work, Hoang and Tram discovered a new mechanism for destructionof nanoparticles due to suprathermal rotation of grains in stationary C-shocks,which is termed rotational disruption. In this paper, we extend our previousstudy for non-stationary shocks driven by outflows and young supernovaeremnants that have dynamical ages shorter than the time required to establish astationary C-shock, which is composed of a C-shock and a J-shock tail (referredas CJ-shock). For the C-shock component, we find that smallest nanoparticles(size $\lesssim 1$ nm) of weak materials (i.e., tensile strength $S_{\rm max}\lesssim 10^{9}\ \rm erg\ cm^{-3}$) can be rotationally disrupted due tosuprathermal rotation induced by supersonic neutral drift. For the J-shockcomponent, although nanoparticles are rotating thermally, the smallest ones canstill be disrupted because the gas is heated to higher temperatures byJ-shocks. We then model microwave emission from rapidly spinning nanoparticleswhere the grain size distribution has the lower cutoff determined by rotationaldisruption for the different shock models. We also calculate the spectral fluxof microwave emission from a shocked region at distance of 100 pc from theobserver for the different gas density, shock age, and shock velocities. Wesuggest that microwave emission from spinning dust can be used to tracenanoparticles and shock velocities in dense molecular outflows. Finally, wediscuss a new way that can release molecules from the nanoparticle surface intothe gas in the shocked regions, which we name rotational desorption.

Dust rotational dynamics in non-stationary shock: rotational disruption of nanoparticles by stochastic mechanical torques and spinning dust emission