hydrostatic pump education

[ArlyA]

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[sequoyah101]

Can some one explain why a hydrostatic transmission (like what's in my tractor - Kioti CK2510) needs to be operated at an engine rpm higher then idle? I'm trying to understand how the pump will be damaged at low rpm? In my simple mind I'm just thinking the pump will simply be operating at a slower rotation, it's still full of oil, so what's causing damage? (Well I know the common warning of don't operate at low engine rpm but no actual reason why it's bad.)
I'm not a fan of blindly doing something without understanding why... So, can some one educate me, and I'm sure others as to the real reason behind what's happening in these types of transmissions that require higher then idle engine rpm?

Thanks,
E.

The charge pump has to have enough RPM to keep the suction pressure to the main pump up.