Imagine a two-state, two-level system. State 1 is at E₁=100cm^-1 and state 2 is at energyE₂=200cm^-1, both are non-degenerate. It is intuitive, given your knowledge of the Gibbs distribution, that in a large collection of such two-state systems, there should be more systems in state 1 because it is at lower energy. According to detailed balance, any system spends longer, on average, in state 1. What is the ratio of the flux from state 1 to state 2 to the flux from state 2 to state 1?

n the preceding problem, what is the rate of escape from state 1 to state 2, relative to the rate of escape from state 2 to state 1?