There has been a lot of interest in nanoscale devices that can mimic some brain functionalities. In this talk, we discuss
mean field theoretical techniques that can be used to study nanoscale devices with memory, including recent experiments on selforganizing nanowires. A large body of work has shown that PVPcoated selforganizing Ag nanowires have a dynamic response to an applied voltage...
Two models in which dynamic conductance is modelled as an overdamped motion in a potential, display memristive behavior and stochastic resonance when subject to an external noise. One is a tilted twowell potential and the other a monostable well but with both additive and mutiplicative noises.
I prove global in time existence of solutions to the full revised Enskog equation. This equation generalizes the Boltzmann theory to dense gases in two ways:

by taking into account the fact that the centers of two colliding spheres are at a distance a, equal to the diameter of hard spheres.

by increasing the collision frequency by a factor $Y_0$ which nowadays is identiﬁed with...