Zobrazeno 1 - 10
of 135
pro vyhledávání: '"Meurs, Patrick"'
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. In contrast to the well-studied cases of identical particles that eith
Externí odkaz:
http://arxiv.org/abs/2410.15855
We establish the incompressible limit of weakly asymmetric simple exclusion processes coupled through particle collisions. The incompressible limit depends on various parameters in the particle system and is linked to fluid dynamics equations. Our ma
Externí odkaz:
http://arxiv.org/abs/2402.10375
We prove H\"{o}lder regularity for the trajectories of an interacting particle system. The particle velocities are given by the nonlocal and singular interactions with the other particles. Particle collisions occur in finite time. Prior to collisions
Externí odkaz:
http://arxiv.org/abs/2311.08739
Autor:
van Meurs, Patrick
We study a class of interacting particle systems in which $n$ signed particles move on the real line. At close range particles with the same sign repel and particles with opposite sign attract each other. The repulsion and attraction are described by
Externí odkaz:
http://arxiv.org/abs/2306.04215
We derive the hydrodynamic limit of Glauber-Kawasaki dynamics. The Kawasaki part is simple and describes independent movement of the particles with hard core exclusive interactions. It is speeded up in a diffusive space-time scaling. The Glauber part
Externí odkaz:
http://arxiv.org/abs/2210.03857
Autor:
van Meurs, Patrick, Patrizi, Stefania
Plasticity of metals is the emergent phenomenon of many crystal defects (dislocations) which interact and move on microscopic time and length scales. Two of the commonly used models to describe such dislocation dynamics are the Peierls-Nabarro model
Externí odkaz:
http://arxiv.org/abs/2209.06709
Autor:
van Meurs, Patrick, Tanaka, Ken'ichiro
We consider a class of particle systems which appear in various applications such as approximation theory, plasticity, potential theory and space-filling designs. The positions of the particles on the real line are described as a global minimum of an
Externí odkaz:
http://arxiv.org/abs/2204.02672
Autor:
van Meurs, Patrick
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 November 2024 539(2)
We derive a continuum mean-curvature flow as a certain hydrodynamic scaling limit of Glauber-Kawasaki dynamics with speed change. The Kawasaki part describes the movement of particles through particle interactions. It is speeded up in a diffusive spa
Externí odkaz:
http://arxiv.org/abs/2202.13286