Seminar series
Date
Mon, 24 Oct 2005
17:00
17:00
Location
L1
Speaker
Christoph Ortner
Organisation
University of Oxford
For atomistic (and related) material models, global minimization
gives the wrong qualitative behaviour; a theory of equilibrium
solutions needs to be defined in different terms. In this talk, a
process based on gradient flow evolutions is presented, to describe
local minimization for simple atomistic models based on the Lennard-
Jones potential. As an application, it is shown that an atomistic
gradient flow evolution converges to a gradient flow of a continuum
energy, as the spacing between the atoms tends to zero. In addition,
the convergence of the resulting equilibria is investigated, in the
case of both elastic deformation and fracture.