The pressure drop rate will determine the size of cavitation cloud or sizes of cavitation bubbles, therefore the downstream behavior of these cavitation structures will be governed by the hydrodynamic profile as well as the pressure drop is.
The answer to your question, is related with the bubble growth and collapse. The buble growth is driven by vapour pressure minus applied presurre, while the collapse is driving by the same and the diameter of the bubble. So here the most important think is the vapour pressure, at a given temperature. If the application is in pumps, the formulation could be found in the text "FLuid Dynamics of cavitation and cavitating turbopumps"
Thank you! "FLuid Dynamics of cavitation and cavitating turbopumps" tells us the cavitation on a pump. But what if we consider a turbine, whose outlet pressure is very low in order to achieve high expansion pressure ratio?