Nondiffusive heat dissipation from a pulse-heated conductive filament in RRAM

Here, we discuss experimental and theoretical studies of nondiffusive thermal transport, which occurs when geometrical length scales are comparable to energy carrier mean free paths (MFPs). We expand upon a previous study that emphasizes the importance of nondiffusive thermal transport in resistive-switching random access memory (RRAM). To model this behavior, an approximate solution to the Boltzmann transport equation (BTE), under the relaxation time approximation in the cylindrical geometry, is derived for the case of an arbitrary, temporally periodic surface temperature boundary condition. This boundary condition coupled with the BTE more realistically models switching stimuli in an RRAM device.