3 papers
math.PR2024
Global existence and mean-field limit for a stochastic interacting particle system of signed Coulomb charges
Patrick van Meurs, Mark A. Peletier, Thomas Slangen
We study a system of stochastic differential equations with singular drift which describes the dynamics of signed particles in two dimensions interacting by the Coulomb potential.…
math.AP2021
Expansions for the linear-elastic contribution to the self-interaction force of dislocation curves
Patrick van Meurs
The self-interaction force of dislocation curves in metals depends on the local arrangement of the atoms and on the nonlocal interaction between dislocation curve segments. While t…
math.AP2019
The continuum limit of interacting dislocations on multiple slip systems
Patrick van Meurs
In this paper we derive the continuum limit of a multiple-species, interacting particle system by proving a -convergence result on the interaction energy as the number of partic…