An experimental test of the Jarzynski equality in a mechanical experiment

By F. Douarche, Sergio Ciliberto, A. Petrosyan, Ivan Rabbiosi. 2005

179 citations recorded by the source corpus.

We have experimentally checked the Jarzynski equality and the Crooks relation (see Jarzynski C., Phys. Rev. Lett., 78 (1997) 2690; Crooks G. E., Phys. Rev. E, 60 (1999) 2721; Jarzynski C., J. Stat. Phys., 98 (2000) 77) on the thermal fluctuations of a macroscopic mechanical oscillator in contact with a heat reservoir. We found that, independently of the time scale and amplitude of the driving force, both relations are satisfied. These results give credit, at least in the case of Gaussian fluctuations, to the use of these relations in biological and chemical systems to estimate the free energy difference ΔF between two equilibrium states (see Ritort F., Seminaire Poincare, 2 (2003) 63; Liphardt J., Dumont S., Smith S. B., Ticono I. jr and Bustamante C., Science, 296 (2002) 1832). An alternative method to estimate ΔF in an isothermal process is proposed too.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/100ac2d4908e09d1ac37068ce5ddb968f9c9134d

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Citations in the corpus

Colloquium: Quantum fluctuation relations: Foundations and applications (2010, methodology): “ the measured work with either the inclusive (W) or exclusive (W0) work, bearing in mind that represents the parameter that is controlled and Qis the measured conjugate coordinate. The experiment of Douarche et al. (2005) is very well suited to illustrate this point. In that experiment a controlled ”
Stochastic thermodynamics, fluctuation theorems and molecular machines (2012, methodology): “In [148, 149], the JR and the Crooks relation were used to determine the “free energy difference” for the torsion pendulum for linear and periodic forcing.”
Fluctuation-dissipation: Response theory in statistical physics (2008, unknown): “experimentally confirmed both in [254].”
Nonequilibrium fluctuations in small systems: From physics to biology (2007, methodology): “How large is the error that we make when we apply the JE using Wx instead? This question has been experimentally addressed by Ciliberto and coworkers [96, 97] who measured the work in an oscillator system with high precision (within tenths of kBT ).”