Hydrodynamic fluctuations of stochastic charged cellular automata
Abstract
We study charge fluctuations of a family of stochastic charged cellular automata away from the deterministic single-file limit and obtain the exact typical charge probability distributions, known to be anomalous, using hydrodynamics. The cellular automata considered are examples of linearly degenerate systems where two distinct mechanisms of diffusion, namely, normal and convective diffusion, coexist. Our formalism, based on macroscopic fluctuation theory, allows us to describe current fluctuations stemming from these two diffusive processes, and we expect it to be applicable to generic linearly degenerate systems. The derived probability distributions match the exact microscopic result and numerical simulations.
Fields of Study & Subjects
Cellular Automata and Applications
Theoretical and Computational Physics
Stochastic processes and statistical mechanics
Publication details
- Journal / source
- Physical review. E
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 6
- Pages
- 064120–064120
- Publication date
- 15 April 2026
- Language
- EN