3 papers
cond-mat.mtrl-sci2026
Simulations of dislocation dynamics on an atomic lattice: the effect of collision rules
Tom Hudson, Akaraphon Jantaraphum, Patrick van Meurs
The stochastic dynamics of dislocations on a one-dimensional periodic lattice domain are considered. Two models are studied: one without a collision rule, and one which annihilates…
math.AP2026
Strong well-posedness of a singular SDE for signed Coulomb particles
Patrick van Meurs, Yoan Tardy
We consider an SDE system for signed Coulomb particles moving in . Due to the singular Coulomb interaction force, collisions between particles of opposite sign will ha…
math.AP2020
Particle dynamics with elastic collision at the boundary: existence and partial uniqueness of solutions
Masato Kimura, Patrick van Meurs, Zhenxing Yang
We consider the dynamics of point particles which are confined to a bounded, possibly nonconvex domain . Collisions with the boundary are described as purely elastic collisions.…