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Convergence to the exact kinetics of the one-dimensional Riviera model
Pascal Viot
The paper develops a systematic hierarchy of kinetic equations for the one‑dimensional Riviera random sequential deposition model and shows that finite‑order closures quickly conve…
Diffusing diffusivity model with dichotomous noise
Dongho Lee, Jae-Hyung Jeon, Pascal Viot +1
We study Langevin dynamics with stochastic diffusivity arising from fluctuations of the surrounding medium. The diffusivity is modeled as Ornstein-Uhlenbeck process driven by symme…
Stochastic gyration driven by dichotomous noises
Timothée Herbeau, Leonid Pastur, Pascal Viot +1
We consider stochastic dynamics of a particle on a plane in presence of two noises and a confining parabolic potential - an analog of the experimentally-relevant Brownian Gyrator (…
Random sequential covering of a one-dimensional lattice by -mers
Pascal Viot, P. L. Krapivsky
In random sequential covering, identical objects are deposited randomly, irreversibly, and sequentially; only attempts that increase coverage are accepted. The process continues in…