Thermodynamic Uncertainty Relation ·
Precision Costs Dissipation
un
seel
.com · Var(J)/⟨J⟩² ≥ 2k_B/Σ · molecular motors · stochastic thermodynamics
Entropy Σ
0 k_B
Rel. uncertainty ε²
—
phase
—
Forward step (net current J)
Backward slip (noise)
ATP fuel (~20 k_BT / step)
Ensemble trajectories
TUR bound 2k_B/Σ
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.com · The Thermodynamic Uncertainty Relation: Precision Costs Dissipation