Relaxation and Transient Processes in Disordered LC Systems

. This work studies relaxation processes and transient currents in a disordered multi-component LC system, consisting of inductive and capacitive reactances (non-dissipative elements). At first glance, relaxation processes seem impossible in non-dissipative systems such as LC systems. Nevertheless, at the percolation threshold, we obtain the exact solution for the multi-component system, consisting of two different types of inductors and two different capacitors with random displacement and connections. It was shown that the effective conductivity of such a non-dissipative disordered system has a real value. This means that relaxation and transient currents arise in this problem. The relaxation times for these processes are established for both low and high frequencies. A physical interpretation of the obtained results is given.