If a PIP claimant moves from the rest of the UK to Scotland, this does trigger a transfer via a ‘determination without application’ to Adult Disability Payment
As far as I can work out this is not generally mentioned in Social Security Scotland website documentation in case transfers.
It is described in para 4 of following document
www.socialsecurity.gov.scot/asset-storag...m-and-vice-versa.pdf 
