Is there any rule governing the use of "big" and "large?

Is there any rule governing the use of "big" and "large?

Anser: YES

example for BIG

a big problem

a big difference

big old tree

example for LARGE

a large initial investment

large volume

a large trawler


SO I think it is very similar between big and large,but they are little different. Example from concordancer, I can find 'big' it is usually use of conversation, 'large' it is usually use to Describing quantity, and 'large' it is more formal than 'big'.