2 papers
cond-mat.stat-mech2014
Kinetic equation for spatially averaged molecular dynamics
Alexander Panchenko, Kevin Cooper, Andrei Kouznetsov +1
We obtain a kinetic description of spatially averaged dynamics of particle systems. Spatial averaging is one of the three types of averaging relevant within the Irwing-Kirkwood pro…
math-ph2008
Still states of bistable lattices, compatibility, and phase transition
Andrej Cherkaev, Andrei Kouznetsov, Alexander Panchenko
A two-dimensional bistable lattice is a periodic triangular network of non-linear bi-stable rods. The energy of each rod is piecewise quadratic and has two minima. Consequently, a…