Hydrodynamic fluctuations of stochastic charged cellular automata
arXiv:2506.05247 · doi:10.1103/sjxq-hclt
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.
7+6 pages, 2 figures
References in corpus (40)
- The large deviation approach to statistical mechanics
- Macroscopic fluctuation theory
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Nonlinear fluctuating hydrodynamics for anharmonic chains
- Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
- Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
- Lecture notes on Generalised Hydrodynamics
- An appetizer to modern developments on the Kardar-Parisi-Zhang universality class
- Stochastic six-vertex model
- Detection of Kardar-Parisi-Zhang hydrodynamics in a quantum Heisenberg spin- chain
- Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
- Dynamics of magnetization at infinite temperature in a Heisenberg spin chain
- Diffusion in deterministic interacting lattice systems
- Kardar-Parisi-Zhang Scaling for an Integrable Lattice Landau-Lifshitz Spin Chain
- Kardar-Parisi-Zhang physics in integrable rotationally symmetric dynamics on discrete space-time lattice
- Exact anomalous current fluctuations in a deterministic interacting model
- Ballistic macroscopic fluctuation theory
- Absence of Normal Fluctuations in an Integrable Magnet
- Chaos and Ergodicity in Extended Quantum Systems with Noisy Driving
- Emergence of hydrodynamic spatial long-range correlations in nonequilibrium many-body systems
- Emergence of fluctuating hydrodynamics in chaotic quantum systems
- Exactly solvable deterministic lattice model of crossover between ballistic and diffusive transport
- High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging KPZ-scaling in the zero-magnetization limit
- Integrable Matrix Models in Discrete Space-Time
- Distinct universality classes of diffusive transport from full counting statistics
- Dynamical criticality of magnetization transfer in integrable spin chains
- Universal anomalous fluctuations in charged single-file systems
- Generalized hydrodynamics in box-ball system
- Diffusion from Convection
- Non-Gaussian diffusive fluctuations in Dirac fluids
- Diffusive hydrodynamics from long-range correlations
- Two-species hardcore reversible cellular automaton: matrix ansatz for dynamics and nonequilibrium stationary state
- From dissipationless to normal diffusion in easy-axis Heisenberg spin chain
- Partial yet definite emergence of the Kardar-Parisi-Zhang class in isotropic spin chains
- Anomalous current fluctuations from Euler hydrodynamics
- Ballistic Modes as a Source of Anomalous Charge Noise
- Single-file dynamics with general charge measures
- Thouless approach in transport in integrable and perturbed easy-axis Heisenberg chains
- Hydrodynamic noise in one dimension: projected Kubo formula and how it vanishes in integrable models
- Fluctuations of stochastic charged cellular automata