An experimental test of the Jarzynski equality in a mechanical experiment

Douarche, F.; Ciliberto, S.; Petrosyan, Artyom; Rabbiosi, I.

doi:10.1209/epl/i2005-10024-4

Cited by 225 publications

(240 citation statements)

References 16 publications

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“…Eq. 1 and closely related results [5,6,7], along with experimental confirmations [8,9,10,11], have revealed that equilibrium free energy differences can be determined from distributions of nonequilibrium work values. The recent progress in this area has drawn attention to a set of earlier papers by Bochkov and Kuzovlev [12,13,14,15], in which the authors had obtained -as one consequence of a more general analysis -the following result:…”

Section: Introductionmentioning

confidence: 65%

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Comparison of far-from-equilibrium work relations

Jarzynski

2007

Comptes Rendus. Physique

185

240

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Recent theoretical predictions and experimental measurements have demonstrated that equilibrium free energy differences can be obtained from exponential averages of nonequilibrium work values. These results are similar in structure, but not equivalent, to predictions derived nearly three decades ago by Bochkov and Kuzovlev, which are also formulated in terms of exponential averages but do not involve free energy differences. In the present paper the relationship between these two sets of results is elucidated, then illustrated with an undergraduate-level solvable model. The analysis also serves to clarify the physical interpretation of different definitions of work that have been used in the context of thermodynamic systems driven away from equilibrium.

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Section: Introductionmentioning

confidence: 65%

“…For related discussions of this issue, particularly in the context of interpretation of experimental data, see Refs. [9,36,37,38].…”

Section: Discussionmentioning

confidence: 99%

Comparison of far-from-equilibrium work relations

Jarzynski

2007

Comptes Rendus. Physique

185

240

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“…12 When the JE is defined in terms of the dissipative work W t d = W t ͑⌫͑0͒ , ͒ − ⌬F, relations ͑2͒ and ͑5͒ are extremely similar in form and they exhibit similar behaviors. Although both of these relations have been demonstrated in numerous systems, [17][18][19][20] the fact that they rely on determining the average of an exponential function using a finite set of data can cause significant problems in their application. …”

Section: − Ln Dv͑⌫͑0͒͒ Dv͑⌫͑t͒͒ ͑3͒mentioning

confidence: 99%

Different approaches for evaluating exponentially weighted nonequilibrium relations

Reid

Cunning

Searles

2010

The Journal of Chemical Physics

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The Kawasaki identity ͑KI͒ and the Jarzynski equality ͑JE͒ are important nonequilibrium relations. Both of these relations take the form of an ensemble average of an exponential function and can exhibit convergence problems when the average of the exponent differs greatly from the log of the average of the exponential function. In this work, we re-express these relations so that only selected regions need to be evaluated in an attempt to avoid these convergence issues. In the context of measuring free energies, we compare our method to the JE and the literature standard approach, the maximum likelihood estimator ͑MLE͒, and show that in a system with asymmetric work distributions it can perform as well as the MLE. For the KI, we derive an analog to the MLE to compare with our relation and show that these two new relations improve on the KI and are complimentary to each other.

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“…Besides providing new insight into the statistical mechanics of non-equilibrium processes, the Jarzynski identity has also been applied to extract equilibrium free energy differences from computer simulations 5,6,7,8,9 and experiments 10,11,12 . In particular, Liphardt et al 10 have determined the free energy required to unfold a single RNA chain from non-equilibrium work measurements and Douarche et al 11 have verified the Jarzynski equality for a mechanical oscillator that is driven out of equilibrium by an external force. Another experimental test of the Jarzynski equality was provided by Wang et al 12 who considered a colloidal particle pulled through liquid water by an optical trap 13 .…”

Section: Introductionmentioning

confidence: 99%

A proof of Jarzynski’s nonequilibrium work theorem for dynamical systems that conserve the canonical distribution

Schöll-Paschinger

Dellago

2006

The Journal of Chemical Physics

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We present a derivation of the Jarzynski identity and the Crooks fluctuation theorem for systems governed by deterministic dynamics that conserves the canonical distribution such as Hamiltonian dynamics, Nosé-Hoover dynamics, Nosé-Hoover chains and Gaussian isokinetic dynamics. The proof is based on a relation between the heat absorbed by the system during the non-equilibrium process and the Jacobian of the phase flow generated by the dynamics.

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An experimental test of the Jarzynski equality in a mechanical experiment

Abstract: We have experimentally checked the Jarzynski equality and the Crooks relation (see Jarzynski C.,

Cited by 225 publications

References 16 publications

Comparison of far-from-equilibrium work relations

Comparison of far-from-equilibrium work relations

Different approaches for evaluating exponentially weighted nonequilibrium relations

A proof of Jarzynski’s nonequilibrium work theorem for dynamical systems that conserve the canonical distribution

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