Crooks fluctuation theorem

en

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Crooks fluctuation theorem

Quality:

Crooks fluctuation theorem - statistical mechanics theorem relating non-equilibrium work to free energy differences. Article “Crooks fluctuation theorem” in English Wikipedia has 9.8 points for quality (as of July 1, 2025). The article contains 2 references and 1 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Crooks fluctuation theorem”, its content was written by 27 registered users of English Wikipedia and edited by 42 registered Wikipedia users in all languages.

The article is cited 12 times in English Wikipedia and cited 23 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #216535 in March 2019
  • Global: #146929 in March 2022

The highest popularity rank from 2008:

  • Local (English): #722886 in August 2015
  • Global: #1212674 in August 2015

There are 4 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Crooks fluctuation theorem
9.8226
2German (de)
Crooks-Fluktuationstheorem
9.266
3Chinese (zh)
Crooks涨落定理
8.2257
4Japanese (ja)
クルックスの揺動定理
7.3175
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Crooks fluctuation theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Crooks fluctuation theorem
99 778
2Japanese (ja)
クルックスの揺動定理
2 836
3Chinese (zh)
Crooks涨落定理
2 050
4German (de)
Crooks-Fluktuationstheorem
831
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Crooks fluctuation theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Crooks fluctuation theorem
766
2Japanese (ja)
クルックスの揺動定理
60
3Chinese (zh)
Crooks涨落定理
25
4German (de)
Crooks-Fluktuationstheorem
24
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Crooks fluctuation theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Crooks fluctuation theorem
27
2German (de)
Crooks-Fluktuationstheorem
7
3Japanese (ja)
クルックスの揺動定理
4
4Chinese (zh)
Crooks涨落定理
4
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Crooks fluctuation theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Crooks-Fluktuationstheorem
0
2English (en)
Crooks fluctuation theorem
0
3Japanese (ja)
クルックスの揺動定理
0
4Chinese (zh)
Crooks涨落定理
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Crooks fluctuation theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Crooks fluctuation theorem
12
2Japanese (ja)
クルックスの揺動定理
6
3German (de)
Crooks-Fluktuationstheorem
3
4Chinese (zh)
Crooks涨落定理
2
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Crooks-Fluktuationstheorem
enEnglish
Crooks fluctuation theorem
jaJapanese
クルックスの揺動定理
zhChinese
Crooks涨落定理

Popularity rank trends

Best Rank English:
#722886
08.2015
Global:
#1212674
08.2015

AI rank trends

Best Rank English:
#216535
03.2019
Global:
#146929
03.2022

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Crooks fluctuation theorem from Wikipedia articles about Jarzynski equality, Fluctuation theorem, Gavin E. Crooks, Time reversibility and Stochastic thermodynamics. Whereas reading the article about Crooks fluctuation theorem people most often go to Wikipedia articles on Jarzynski equality, Gavin E. Crooks, Microscopic reversibility, Helmholtz free energy and Thermal reservoir.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 28 February 2026

On 28 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Ali Khamenei, Iran, Ruhollah Khomeini, Jeffrey Epstein, Supreme Leader of Iran, Mohammad Reza I of Iran, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Masoud Pezeshkian, Resident Evil Requiem.

In English Wikipedia the most popular articles on that day were: Ali Khamenei, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Iran, Ruhollah Khomeini, Iran–Israel conflict, Supreme Leader of Iran, Scream 7, Elimination Chamber (2026), World War III.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information