Directed Percolation — Absorbing State Transition

Active cells propagate with probability p; absorbing dead state below critical p_c ≈ 0.6445

Generation: 0 Active density: 0.000 Phase: - p_c ≈ 0.6445
About: Directed percolation (DP) is the paradigmatic universality class for absorbing-state phase transitions. Below p_c ≈ 0.6445 (2D DP), activity dies out exponentially fast — the absorbing state. Above p_c, a fraction of sites remains active indefinitely. The critical exponents β≈0.584, ν‖≈1.295, ν⊥≈0.734 are universal across many systems including: epidemic spreading, turbulence onset, sandpile models, and neural avalanches (if mean-field DP).