The Hebbian learning rule is a fundamental concept in the learning of a neu
ronal net, when a frequently used connection of two neurons is continually
reinforced. We study the properties of self-assembling connections of condu
cting particles in a dielectric liquid, and find that the strength of the c
onnection between different electrodes represents a memory for the history
of the system. Optimal parameters and sequences of stimulation for effectiv
e training are determined. We discuss a future application of our results f
or the implementation of a nonvolatile neuronal network based on self-assem
bling nanowires on a semiconductor surface. [S1063-651X(99)03603-X].