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Thermodynamic Entropy as a Noether Invariant

Overview of attention for article published in Physical Review Letters, April 2016
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About this Attention Score

  • In the top 5% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (97th percentile)
  • High Attention Score compared to outputs of the same age and source (96th percentile)

Mentioned by

blogs
1 blog
twitter
163 X users
q&a
1 Q&A thread

Citations

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26 Dimensions

Readers on

mendeley
292 Mendeley
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Title
Thermodynamic Entropy as a Noether Invariant
Published in
Physical Review Letters, April 2016
DOI 10.1103/physrevlett.116.140601
Pubmed ID
Authors

Shin-Ichi Sasa, Yuki Yokokura

Abstract

We study a classical many-particle system with an external control represented by a time-dependent extensive parameter in a Lagrangian. We show that thermodynamic entropy of the system is uniquely characterized as the Noether invariant associated with a symmetry for an infinitesimal nonuniform time translation t→t+ηℏβ, where η is a small parameter, ℏ is the Planck constant, β is the inverse temperature that depends on the energy and control parameter, and trajectories in the phase space are restricted to those consistent with quasistatic processes in thermodynamics.

X Demographics

X Demographics

The data shown below were collected from the profiles of 163 X users who shared this research output. Click here to find out more about how the information was compiled.
As of 1 July 2024, you may notice a temporary increase in the numbers of X profiles with Unknown location. Click here to learn more.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 292 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Japan 10 3%
United States 2 <1%
Spain 2 <1%
Brazil 2 <1%
United Kingdom 2 <1%
China 2 <1%
Sweden 1 <1%
France 1 <1%
Vietnam 1 <1%
Other 2 <1%
Unknown 267 91%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 59 20%
Researcher 59 20%
Student > Master 41 14%
Professor > Associate Professor 28 10%
Student > Bachelor 27 9%
Other 58 20%
Unknown 20 7%
Readers by discipline Count As %
Physics and Astronomy 193 66%
Engineering 13 4%
Chemistry 11 4%
Agricultural and Biological Sciences 9 3%
Computer Science 8 3%
Other 31 11%
Unknown 27 9%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 108. 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 20 August 2024.
All research outputs
#418,645
of 26,550,749 outputs
Outputs from Physical Review Letters
#923
of 41,410 outputs
Outputs of similar age
#7,235
of 317,629 outputs
Outputs of similar age from Physical Review Letters
#21
of 535 outputs
Altmetric has tracked 26,550,749 research outputs across all sources so far. Compared to these this one has done particularly well and is in the 98th percentile: it's in the top 5% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 41,410 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 14.1. This one has done particularly well, scoring higher than 97% 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 317,629 tracked outputs that were published within six weeks on either side of this one in any source. This one has done particularly well, scoring higher than 97% of its contemporaries.
We're also able to compare this research output to 535 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 96% of its contemporaries.