Equation 6 · How Stochastic Thermodynamics and Complex Systems Actually Work
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Symbol Δ F
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Collin, Ritort, Jarzynski, Smith, Tinoco and Bustamante tested the closely related Crooks fluctuation theorem directly on RNA hairpins pulled and relaxed with optical tweezers, comparing forward-unfolding and reverse-refolding work distributions and recovering folding free energies that matched independent estimates [ 2 ] . The forward and reverse work distributions cross at exactly the point where work equals F — a directly falsifiable prediction, and one their data confirmed. Toyabe, Sagawa, Ueda, Muneyuki and Sano later validated a generalized form of the same equality in a feedback-controlled Brownian particle, demonstrating that information gained through measurement and feedback…
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Collin, Ritort, Jarzynski, Smith, Tinoco and Bustamante tested the closely related Crooks fluctuation theorem directly on RNA hairpins pulled and relaxed with optical tweezers, comparing forward-unfolding and reverse-refolding work distributions and recovering folding free energies that matched independent estimates [ 2 ] . The forward and reverse work distributions cross at exactly the point where work equals F — a directly falsifiable prediction, and one their data confirmed. Toyabe, Sagawa, Ueda, Muneyuki and Sano later validated a generalized form of the same equality in a feedback-controlled Brownian particle, demonstrating that information gained through measurement and feedback can be converted into extractable work in a way consistent with the generalized identity, closing a version of the Maxwell’s-demon paradox with a number rather than a metaphor [ 3 ] .
Sources cited in the surrounding passage
- [2] Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies ↗
- [3] Experimental demonstration of information-to-energy conversion and validation of the generalized Jarzynski equality ↗
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