Macroscopic PDE emerges from microscopic stochastic dynamics on coarse-grained space-time scales ε∼x/L, τ∼t/L². Euler and Navier-Stokes limits of lattice gases rigorously derived; TASEP → Burgers is a canonical exactly solvable example.
Macroscopic PDE emerges from microscopic stochastic dynamics on coarse-grained space-time scales ε∼x/L, τ∼t/L². Euler and Navier-Stokes limits of lattice gases rigorously derived; TASEP → Burgers is a canonical exactly solvable example.