64 citations · 370 across the 28 of their papers we have counts for
5 papers · 1 filter
Acceleration of convergence to equilibrium in Markov chains by breaking detailed balance
Marcus Kaiser, Robert L. Jack, Johannes Zimmer
We analyse and interpret the effects of breaking detailed balance on the convergence to equilibrium of conservative interacting particle systems and their hydrodynamic scaling limi…
Hydrodynamic limit of condensing two-species zero range processes with sub-critical initial profiles
Nicolas Dirr, Marios G. Stamatakis, Johannes Zimmer
Two-species condensing zero range processes (ZRPs) are interacting particle systems with two species of particles and zero range interaction exhibiting phase separation outside a d…
A revisited Johnson-Mehl-Avrami-Kolmogorov model and the evolution of grain-size distributions in steel
D. Hömberg, F. S. Patacchini, K. Sakamoto +1
The classical Johnson-Mehl-Avrami-Kolmogorov approach for nucleation and growth models of diffusive phase transitions is revisited and applied to model the growth of ferrite in mul…
Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential
Boris Buffoni, Hartmut Schwetlick, Johannes Zimmer
The Frenkel-Kontorova model for dislocation dynamics from 1938 is given by a chain of atoms, where neighbouring atoms interact through a linear spring and are exposed to a smooth p…
Minimising movements for oscillating energies: the critical regime
Nadia Ansini, Andrea Braides, Johannes Zimmer
Minimising movements are investigated for an energy which is the superposition of a convex functional and fast small oscillations. Thus a minimising movement scheme involves a temp…