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Equilibrium Information from Nonequilibrium Measurements in an Experimental Test of Jarzynski's Equality
Abstract
Recent advances in statistical mechanical theory can be used to solve a fundamental problem in experimental thermodynamics. In 1997, Jarzynski proved an equality relating the irreversible work to the equilibrium free energy difference, Δ G . This remarkable theoretical result states that it is possible to obtain equilibrium thermodynamic parameters from processes carried out arbitrarily far from equilibrium. We test Jarzynski's equality by mechanically stretching a single molecule of RNA reversibly and irreversibly between two conformations. Application of this equality to the irreversible work trajectories recovers the Δ G profile of the stretching process to within k B T /2 (half the thermal energy) of its best independent estimate, the mean work of reversible stretching. The implementation and test of Jarzynski's equality provides the first example of its use as a bridge between the statistical mechanics of equilibrium and nonequilibrium systems. This work also extends the thermodynamic analysis of single molecule manipulation data beyond the context of equilibrium experiments.
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Cites
Control of memory formation through regulated expression of a CaMKII transgene
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Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
Scalable molecular dynamics with NAMD
Phillips, J. C., Braun, R., Wang, W., Gumbart, J., Tajkhorshid, E., Villa, E., Chipot, C., Skeel, R. D., Kalé, L., & Schulten, K. (2005) · Journal of Computational Chemistry · doi:10.1002/jcc.20289 · Cited by 16,914
Stochastic thermodynamics, fluctuation theorems and molecular machines
Seifert, U. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/12/126001 · Cited by 3,300
Recent Advances in Optical Tweezers
Moffitt, J. R., Chemla, Y. R., Smith, S. B., & Bustamante, C. (2008) · Annual Review of Biochemistry · doi:10.1146/annurev.biochem.77.043007.090225 · Cited by 1,084
Self-citationVerification of the Crooks fluctuation theorem and recovery of RNA folding free energies
Collin, D., Ritort, F., Jarzynski, C., Smith, S. B., Tinoco, I., & Bustamante, C. (2005) · Nature · doi:10.1038/nature04061 · Cited by 1,049
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Metadata
- Authors
- Liphardt, J., Dumont, S., Smith, S. B., Tinoco, I., & Bustamante, C.
- Venue
- Science
- Published
- 2002-06-07
- Volume
- 296
- Issue
- 5574
- Pages
- 1832-1835
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W2019493938
- Cited by
- 1,243
- References
- 1
- FWCI
- 25.49
- Type
- journal article
- Language
- en
- Open access
- closed
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- Liphardt, J., Dumont, S., Smith, S. B., Tinoco, I., & Bustamante, C. (2002). Equilibrium Information from Nonequilibrium Measurements in an Experimental Test of Jarzynski's Equality. Science. https://doi.org/10.1126/science.1071152
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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