What is the difference between a 'special relationship' and an 'alliance' between 2 countries?

An alliance is where you look after each others interests. A special relationship is where you do what the big boy tells you - like the special relationship we have with America.What is the difference between a 'special relationship' and an 'alliance' between 2 countries?
An alliance involves treaties and formal agreements that outline exactly where the two countries will cooperate. A 'special relationship' is much less formal, so neither country is bound into helping the other.What is the difference between a 'special relationship' and an 'alliance' between 2 countries?
The first is whereby one country is the other's lapdog and follows them blindly in order to retain ones status as a world power

The latter is an agreement whereby both parties gain equal benefitWhat is the difference between a 'special relationship' and an 'alliance' between 2 countries?
More ties with the alliance and more likey to join a war. etc better train just more of everything that already exsist.