Hello Aspirant

I would suggest that you first decide the university where you want to pursue your PHD in art history, study about its fees structure, prospects etc.

Then you contact the college by mail as colleges abroad are very responsive. Ech college has a separate application criteria for PDH students therefore you'll have to apply individually.

As for scholarship, they have scholars programs were you submit your application along with a few other details like family background etc which are required. Then they will shortlist people for scholarship after considering their applications and most probably will take an interview too.

But if your application is so good, sometimes the university offers good scholarships without filling any form also as they want to come and study in their university.