#physblr

So I'm taking this class called molecular driving forces and it's something like stat mech for chemistry and it blows my mind like every week. Today the professor asked us why heat flows from warm objects to cold objects and everyone was like entropy! Temperature! Equilibrium! and he was like yeah yeah but what's it really about when you get to the bottom of it? And the answer was statistics - because the number of states in which these two bodies are in a thermal equilibrium is much (like, much) greater than the number of states in which they aren't, and so thermal equilibrium is the most probable outcome. And the thing that decks me every time is that it's always statistics, it's all statistics.

Legendre transform?