Thermodynamic Uncertainty Relation

For a nonequilibrium Markov chain, the TUR states: Q = Var(J)·⟨Σ⟩/⟨J⟩² ≥ 2. Tune the cycle rates and watch the bound being satisfied.

Rate k₁₂: 1.0

Rate k₂₃: 2.0

Rate k₃₁: 1.5

Reverse ratio α (k_ji/k_ij): 0.2

⟨J⟩ = — (mean current)

Var(J) = —

⟨Σ⟩ = — (entropy prod.)

Q = —

Q vs forward/backward asymmetry (log scale)