Ehrenfest model. In example (2.

e) let there initially be j molecules in the first container, and let X(") = 2k -a if at the nth step the system is in state k (so that Xn) is the difference of the number of molecules in the two containers). Let en E(X)). Prove that en+1 = (a-2)en/a, whence e = (1-2/a)"(2j-a). (Note that e 0 as n co.) >