[HTML][HTML] Non-equilibrium fluctuations for SEP (α) with open boundary
C Franceschini, P Gonçalves, M Jara… - Stochastic Processes and …, 2024 - Elsevier
We analyze the non-equilibrium fluctuations of the partial symmetric simple exclusion
process, SEP (α), which allows at most α∈ N particles per site, and we put it in contact with …
process, SEP (α), which allows at most α∈ N particles per site, and we put it in contact with …
Sharp Convergence to Equilibrium for the SSEP with Reservoirs
P Gonçalves, M Jara, R Marinho… - arXiv preprint arXiv …, 2021 - arxiv.org
We consider the symmetric simple exclusion process evolving on the interval of length $ n-
1$ in contact with reservoirs of density $\rho\in (0, 1) $ at the boundary. We use Yau's …
1$ in contact with reservoirs of density $\rho\in (0, 1) $ at the boundary. We use Yau's …
Higher order hydrodynamics and equilibrium fluctuations of interacting particle systems
JP Chen, F Sau - arXiv preprint arXiv:2008.13403, 2020 - arxiv.org
Motivated by the recent preprint [arXiv: 2004.08412] by Ayala, Carinci, and Redig, we first
provide a general framework for the study of scaling limits of higher order fields. Then, by …
provide a general framework for the study of scaling limits of higher order fields. Then, by …
Motion by mean curvature from Glauber-Kawasaki dynamics with speed change
T Funaki, P van Meurs, S Sethuraman… - Journal of Statistical …, 2023 - Springer
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 …
Glauber-Kawasaki dynamics with speed change. The Kawasaki part describes the …
Mean curvature interface limit from Glauber+ Zero-range interacting particles
P El Kettani, T Funaki, D Hilhorst, H Park… - … in Mathematical Physics, 2022 - Springer
We derive a continuum mean-curvature flow as a certain hydrodynamic scaling limit of a
class of Glauber+ Zero-range particle systems. The Zero-range part moves particles while …
class of Glauber+ Zero-range particle systems. The Zero-range part moves particles while …
[HTML][HTML] CLT for NESS of a reaction-diffusion model
P Gonçalves, M Jara, R Marinho… - Probability Theory and …, 2024 - Springer
We study the scaling properties of the non-equilibrium stationary states (NESS) of a reaction-
diffusion model. Under a suitable smallness condition, we show that the density of particles …
diffusion model. Under a suitable smallness condition, we show that the density of particles …
Quantitative equilibrium fluctuations for interacting particle systems
C Gu, JC Mourrat, M Nitzschner - arXiv preprint arXiv:2401.10080, 2024 - arxiv.org
We consider a class of interacting particle systems in continuous space of non-gradient type,
which are reversible with respect to Poisson point processes with constant density. For these …
which are reversible with respect to Poisson point processes with constant density. For these …
Motion by mean curvature from Glauber–Kawasaki dynamics
T Funaki, K Tsunoda - Journal of Statistical Physics, 2019 - Springer
We study the hydrodynamic scaling limit for the Glauber–Kawasaki dynamics. It is known
that, if the Kawasaki part is speeded up in a diffusive space-time scaling, one can derive the …
that, if the Kawasaki part is speeded up in a diffusive space-time scaling, one can derive the …
Quantitative homogenization of interacting particle systems
A Giunti, C Gu, JC Mourrat - The Annals of Probability, 2022 - projecteuclid.org
For a class of interacting particle systems in continuous space, we show that finite-volume
approximations of the bulk diffusion matrix converge at an algebraic rate. The models we …
approximations of the bulk diffusion matrix converge at an algebraic rate. The models we …
Fluctuations and correlations in weakly asymmetric simple exclusion on a ring subject to an atypical current
B Dagallier - arXiv preprint arXiv:2310.16793, 2023 - arxiv.org
We consider the weakly asymmetric simple exclusion process on a ring, driven out of
equilibrium by tilting the dynamics so as to enforce a macroscopic current of particles on a …
equilibrium by tilting the dynamics so as to enforce a macroscopic current of particles on a …