Mr Brown's infamous temper flared during a two-hour meeting with Mr Blair in September 2006.
He insisted that Mr Blair give him a resignation date and ensure that no other candidate stood for leader - a promise he said he could not deliver.
The new revelations about the Prime Minister's temper came after he was forced to deny unleashing the 'forces of hell' on Alistair Darling and again deny being a bully.
According to Rawnsley, Mr Brown also interrupted the Prime Minister's stay with the Queen at Balmoral.
His fury was 'titanically demented', and Mr Brown raged that Blairite former health secretary Alan Milburn had written an article setting out the case for Mr Blair to stay.
'You put ******* Milburn up to it,' Mr Brown told Mr Blair down the phone. 'This is factionalism! This is Trotskyism! It's ******* Trotskyism!'