Schnakenberg Reaction-Diffusion
du/dt = a - u + u²v + Du∇²u, dv/dt = b - u²v + Dv∇²v. Turing instability → spots and stripes.
a:
0.100
b:
0.900
Du/Dv:
0.01 (spots)
0.02
0.05 (stripes)
0.1
Grid:
64²
96²
128²
Reset
Pause
Perturb
steps: 0
Steps:
0
u mean:
-
v mean:
-
Pattern:
-
Turing (1952): equal diffusion → homogeneous. Unequal (Du≪Dv) → spontaneous symmetry breaking. Wavevector k* ~ √(f_u/Du).