Some phase transitions exhibit a jump, while others exhibits hysteresis. I have read that jumps correspond to the Maxwell construction while hysteretic transitions correspond to the "delay convention" (Physical Review A, Vol. 23, No. 5, 2719-2723), which is a somewhat confusing statement. I am looking for a clear explanation of why a given phase transition exhibits (or does not exhibit) hysteresis; that is, in which situations can hysteresis be expected and in which can it not? Does it relate to the specific shape of the free energy landscape? To equilibrium or nonequilibrium behavior? Suggestions for further reading would be appreciated.