Fig. 4: Illustration of the dynamics of the cascading mechanism for a heating process during the abrupt transition.
From: The random cascading origin of abrupt transitions in interdependent systems
a An ISN system is stabilized at T < Tc and I < Ic where all segments are superconducting and there is no thermal dissipation in the system. b At time t = 0 the current is switched to Ib > Ic so that one segment switched to the N state and (c) dissipates heat to the entire networks system. d This causes a random segment in the second network to switch to the N phase and to dissipate heat. e–g This feedback process of one segment creating a phase change in a random segment in the other network, continues spontaneously back and forth for a macroscopic time until (h) an abrupt transition occurs and both networks become normal.
