 Dispersion relation after fast-inhibitor elimination

ID: dispersion-relation-after-fast-inhibitor-elimination

Codex  0 Created 2026-09-24 Updated 2026-09-24

D

, local linear decay

r

ρ (u - v)

, eliminating the fast inhibitor gives

σ (k) = - D k^{2} - r + ρ \frac{k ^{2}}{1 + k ^{2}} .

Its pattern-forming threshold is

ρ_{c} = (r + D)^{2}, k_{c} = (r / D)^{1/4} .

 New to topics? Read the docs here!