Author Correction: Thermodynamic uncertainty relations constrain non-equilibrium fluctuations


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Download PDF Author Correction Published: 09 March 2020 Author Correction: Thermodynamic uncertainty relations constrain non-equilibrium fluctuations Jordan M. Horowitz  ORCID:


orcid.org/0000-0002-9139-08111,2,3 & Todd R. Gingrich  ORCID: orcid.org/0000-0003-4617-71464  Nature Physics volume 16, page 599 (2020)Cite this article


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Subjects Statistical physicsThermodynamics The Original Article was published on 11 November 2019


Correction to: Nature Physics https://doi.org/10.1038/s41567-019-0702-6, published online 11 November 2019.


In the version of this Perspective originally published, in Box 1, the sentence “The single particle in the high-energy site can move to the lower-energy site with rate p, but in doing so


the system will lose energy ΔE.” has been amended to read “The single particle in the site with high energy E1 can move to the site with lower energy E2 with rate p, but in doing so the


system will lose energy ΔE = E1 − E2.” Accordingly, also in Box 1, the following equation changes have been made. (1) In the equations for ‘ \(\frac{\alpha }{\gamma }\) ’ and ‘\(\frac{\beta


}{\delta }\) ’, the superscripts ‘μleft/kBT’ and ‘−μrightkBT’, respectively, should have been ‘(μleft−E1)/kBT’ and ‘−(μright−E2)/kBT’; the correct equations are ‘\(\frac{\alpha }{\gamma } =


e^{\left( {\mu _{{\mathrm{left}}} - E_1} \right){\mathrm{/}}k_{\mathrm{B}}T}\)’ and ‘\(\frac{\beta }{\delta } = e^{ - \left( {\mu _{{\mathrm{right}}} - E_2}


\right){\mathrm{/}}k_{\mathrm{B}}T}\)’. (2) In the equation in the sentence beginning “For example:”, the term ‘\(+ \frac{{\Delta E}}{{k_{\mathrm{B}}T}}\)’ should not have been included; the


correct equation is:


The online versions of the Perspective have been amended.


Author informationAuthors and Affiliations Department of Biophysics, University of Michigan, Ann Arbor, MI, USA


Jordan M. Horowitz


Center for the Study of Complex Systems, University of Michigan, Ann Arbor, MI, USA


Jordan M. Horowitz


Department of Physics, University of Michigan, Ann Arbor, MI, USA


Jordan M. Horowitz


Department of Chemistry, Northwestern University, Evanston, IL, USA


Todd R. Gingrich


AuthorsJordan M. HorowitzView author publications You can also search for this author inPubMed Google Scholar


Todd R. GingrichView author publications You can also search for this author inPubMed Google Scholar


Corresponding authors Correspondence to Jordan M. Horowitz or Todd R. Gingrich.


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About this articleCite this article Horowitz, J.M., Gingrich, T.R. Author Correction: Thermodynamic uncertainty relations constrain non-equilibrium fluctuations. Nat. Phys. 16, 599 (2020).


https://doi.org/10.1038/s41567-020-0853-5


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Published: 09 March 2020


Issue Date: May 2020


DOI: https://doi.org/10.1038/s41567-020-0853-5


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