Hugo Da Cunha

Hugo Da Cunha
Claude Bernard University Lyon 1 | UCBL · Institut Camille Jordan (ICJ)

Master of Science

About

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Publication
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Introduction
Skills and Expertise
Applied Probability
Partial Differential Equations
Nonequilibrium Statistical Physics
Nonequilibrium statistical mechanics
Stochastic Processes
Python
Education
September 2020 - August 2024
École Normale Supérieure de Lyon
École Normale Supérieure de Lyon
Field of study
  • Mathematics

Publications

Publication (1)
Figure 2. An ergodic configuration and its active particles (in orange).
Figure 4. Numerical simulation of the density field ρ N x (in blue),...
Hydrodynamic limit for an open facilitated exclusion process with slow and fast boundaries
Preprint
Full-text available
  • Aug 2024
We study the symmetric facilitated exclusion process (FEP) on the finite one-dimensional lattice {1,. .. , N −1} when put in contact with boundary reservoirs, whose action is subject to an additional kinetic constraint in order to enforce ergodicity, and whose speed is of order N^{-θ} for some parameter θ. We derive its hydrodynamic limit as N → ∞,...
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