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math.AP2020
Quantitative estimate of the continuum approximations of interacting particle systems in one dimension
Masato Kimura, Patrick van Meurs
We consider a large class of interacting particle systems in 1D described by an energy whose interaction potential is singular and non-local. This class covers Riesz gases (in part…
math.AP2020
Atomistic origins of continuum dislocation dynamics
Thomas Hudson, Patrick van Meurs, Mark A. Peletier
This paper focuses on the connections between four stochastic and deterministic models for the motion of straight screw dislocations. Starting from a description of screw dislocati…