TASEP Shock Profile

Totally Asymmetric Simple Exclusion Process — Density Waves & Phase Diagram

Boundary Rates

Phase & Observables

Phase
Current J
Bulk density ρ
Shock position
Theory J_max
MCS0

Theory

TASEP: particles hop right with rate p (if empty ahead), inject at left with rate α, extract at right with rate β.

Phases (p=1):
• LD (α < β, α < ½): ρ = α, J = α(1−α)
• HD (β < α, β < ½): ρ = 1−β, J = β(1−β)
• MC (α,β ≥ ½): ρ = ½, J = ¼

Shock: coexistence line α = β < ½