Synchronization efiects in intrinsic Josephson junctions by non-equilibrium heating

In order to study a role of the non-equilibrium heating on intrinsic Josephson junctions, we derive a model equation including the thermal heat difiusion process along c-axis and discuss how the heating afiects the dynamics of stacked Josephson junctions. We suggest that the heating gives rise to a new type of coupling which are difierent from the established ones, i.e., the capacitive and inductive couplings. The coupling becomes rather large when the heating becomes dominant. We suggest that the coupling makes it possible to synchronize all the stacked junctions and to radiate a strong electromagnetic wave emission.