Self-organizing ensembles of nanoparticles have recently emerged as promising systems for realizing neuromorphic computing. The presence of memristive properties in the system is often associated with the formation and destruction of filaments in the gaps between nanoparticles. This work examines a simple model of the formation and destruction of filaments caused by the electromigration of ions and the diffusion of metal atoms within a dielectric material or on a substrate. Based on a comparison of solutions for the growth time with experimental data, the expressions for the dependence of the growth rate on voltage and temperature were refined.
31.15.xv Molecular dynamics and other numerical methods
$^1$124498, г. Москва, г. Зеленоград, площадь Шокина, дом 1.\
$^2$Scientific-Manufacturing Complex «Technological Centre»
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