Tilted washboard potential V(x) = V₀sin(2πx) − Fx
Steady-state probability density ρ(x) and current J
Particle ensemble (200 overdamped Brownian particles)
Parameters
Mean current J:—
Direction:—
Power input P=FJ:—
Entropy prod. σ:—
Efficiency η:—
Fokker-Planck: ∂ₜρ = −∂ₓJ
J = −D∂ₓρ − (D/T)ρ∂ₓV
NESS: J = const ≠ 0, ρ ≠ e^(-V/T)/Z
Stall: F* = V₀·2π (Kramers rate balance)
J = −D∂ₓρ − (D/T)ρ∂ₓV
NESS: J = const ≠ 0, ρ ≠ e^(-V/T)/Z
Stall: F* = V₀·2π (Kramers rate balance)