  In this work we report on kinetic Monte-Carlo calculations of resistive
switching and the underlying growth dynamics of filaments in an electrochemical
metallization device consisting of an Ag/TiO2/Pt sandwich-like thin film
system. The developed model is not limited to i) fast time scale dynamics and
ii) only one growth and dissolution cycle of metallic filaments. In particular,
we present results from the simulation of consecutive cycles. We find that the
numerical results are in excellent agreement with experimentally obtained data.
Additionally, we observe an unexpected filament growth mode which is in
contradiction to the widely acknowledged picture of filament growth, but
consistent with recent experimental findings.
