Special Session 1: ODEs and Applications

A rigorous approach to describing the mobility of screw dislocations

Thomas Hudson
University of Warwick
England
Co-Author(s):    
Abstract:
Discrete Dislocation Dynamics (DDD) is a phenomenological modelling and simulation technique used to study plasticity in crystalline solids on length- and timescales inaccessible with molecular dynamics. In this talk, I will present some mathematical results demonstrating that in a particular case, DDD for screw dislocations can be \emph{derived} from a microscopic stochastic model.