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A note on the Jarzynski equality

E G D Cohen and David Mauzerall

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The Jarzynski equality relates the free energy difference between two equilibrium states of a system to the average of the work over all irreversible phase space trajectories for going from one state to the other. We claim that the derivation of this equality is flawed, introducing an ad hoc and unjustified weighting factor which handles improperly the heat exchange with a heat bath. Therefore the experiment of Liphardt et al cannot be viewed as a confirmation of this equality, although the numerical deviations between the two are small. However, the Jarzynski equality may well be a useful approximation, e.g. in measurements on single molecules in solution.


 
An erratum page was added to the end of the published paper on 31 July 2004.
Keywords

exact results

fluctuations (experiment)

mechanical properties (DNA, RNA, membranes, bio-polymers) (experiment)

fluctuations (theory)

PACS

87.14.G- Nucleic acids

87.16.D- Membranes, bilayers, and vesicles

87.15.Ya Fluctuations

87.15.La Mechanical properties

MSC

92D20 Protein sequences, DNA sequences

82D60 Polymers

Subjects

Biological physics

Dates

Issue 07 (July 2004)

Received 23 June 2004, accepted for publication 29 June 2004

Published 13 July 2004



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