Non-equilibrium Entropy Production

Brusselator Parameters

A (feed rate): 1.0 B (cross-coupling): 3.0 D_X (diffusion X): 0.50 D_Y (diffusion Y): 0.25

Entropy Statistics

σ (entropy prod. rate): —

⟨σ⟩ time avg: —

Distance from eq.: —

B_c (Hopf bifurcation): —

State: —

Non-eq. Thermodynamics

Prigogine (Nobel 1977): in NESS (non-equilibrium steady states), entropy production rate σ = Σ Jₖ·Fₖ ≥ 0.

Near equilibrium: Onsager reciprocal relations; σ is minimized (min entropy production theorem). Far from equilibrium: dissipative structures emerge (Turing patterns, Belousov-Zhabotinsky, Brusselator).

Brusselator: dX/dt = A − (B+1)X + X²Y, dY/dt = BX − X²Y. Hopf bifurcation at B_c = 1+A².