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Maximum one-shot dissipated work from Rényi divergences

Overview of attention for article published in arXiv, May 2018
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About this Attention Score

  • In the top 25% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (84th percentile)
  • High Attention Score compared to outputs of the same age and source (95th percentile)

Mentioned by

blogs
1 blog
twitter
4 tweeters

Readers on

mendeley
9 Mendeley
Title
Maximum one-shot dissipated work from Rényi divergences
Published in
arXiv, May 2018
DOI 10.1103/physreve.97.052135
Pubmed ID
Authors

Nicole Yunger Halpern, Andrew J. P. Garner, Oscar C. O. Dahlsten, Vlatko Vedral

Abstract

Thermodynamics describes large-scale, slowly evolving systems. Two modern approaches generalize thermodynamics: fluctuation theorems, which concern finite-time nonequilibrium processes, and one-shot statistical mechanics, which concerns small scales and finite numbers of trials. Combining these approaches, we calculate a one-shot analog of the average dissipated work defined in fluctuation contexts: the cost of performing a protocol in finite time instead of quasistatically. The average dissipated work has been shown to be proportional to a relative entropy between phase-space densities, to a relative entropy between quantum states, and to a relative entropy between probability distributions over possible values of work. We derive one-shot analogs of all three equations, demonstrating that the order-infinity Rényi divergence is proportional to the maximum possible dissipated work in each case. These one-shot analogs of fluctuation-theorem results contribute to the unification of these two toolkits for small-scale, nonequilibrium statistical physics.

Twitter Demographics

The data shown below were collected from the profiles of 4 tweeters who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 9 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 9 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 3 33%
Unspecified 2 22%
Student > Master 1 11%
Researcher 1 11%
Professor > Associate Professor 1 11%
Other 1 11%
Readers by discipline Count As %
Physics and Astronomy 4 44%
Medicine and Dentistry 2 22%
Unspecified 2 22%
Chemical Engineering 1 11%

Attention Score in Context

This research output has an Altmetric Attention Score of 10. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 25 June 2018.
All research outputs
#1,395,869
of 12,365,836 outputs
Outputs from arXiv
#27,619
of 551,371 outputs
Outputs of similar age
#35,465
of 234,584 outputs
Outputs of similar age from arXiv
#668
of 16,018 outputs
Altmetric has tracked 12,365,836 research outputs across all sources so far. Compared to these this one has done well and is in the 88th percentile: it's in the top 25% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 551,371 research outputs from this source. They receive a mean Attention Score of 3.3. This one has done particularly well, scoring higher than 94% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 234,584 tracked outputs that were published within six weeks on either side of this one in any source. This one has done well, scoring higher than 84% of its contemporaries.
We're also able to compare this research output to 16,018 others from the same source and published within six weeks on either side of this one. This one has done particularly well, scoring higher than 95% of its contemporaries.