4 papers
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…
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…
Hydrodynamic limit for Glauber-Kawasaki dynamics on the SierpiÅski gasket
Patrick van Meurs, Kenkichi Tsunoda
We prove the hydrodynamic limit for Glauber-Kawasaki dynamics on the SierpiÅski gasket, a prototypical fractal graph that lacks translational invariance. The main novelty lies in…
Non-equilibrium functional inequalities for finite Markov chains
Bastian Hilder, Patrick van Meurs, Upanshu Sharma
Functional inequalities such as the Poincaré and log-Sobolev inequalities quantify convergence to equilibrium in continuous-time Markov chains by linking generator properties to v…