Berezinskii–Kosterlitz–Thouless transition

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Berezinskii–Kosterlitz–Thouless transition

Quality:

Kosterlitz–Thouless transition - phase transition in the two-dimensional (2-D) XY model. Article "Berezinskii–Kosterlitz–Thouless transition" in English Wikipedia has 21.4 points for quality (as of July 1, 2025). The article contains 5 references and 9 sections. The article also contains quality flaw template, which reduce quality score.

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

In June 2025 the article "Berezinskii–Kosterlitz–Thouless transition" was edited by 2 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article "Berezinskii–Kosterlitz–Thouless transition", its content was written by 75 registered users of English Wikipedia and edited by 178 registered Wikipedia users in all languages.

The article is cited 52 times in English Wikipedia and cited 138 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #22050 in October 2016
  • Global: #7749 in October 2016

The highest popularity rank from 2008:

  • Local (English): #40299 in October 2016
  • Global: #43143 in October 2016

There are 10 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)
Berezinskii–Kosterlitz–Thouless transition
21.4403
2French (fr)
Transition Berezinski-Kosterlitz-Thouless
17.4401
3Chinese (zh)
别列津斯基-科斯特利茨-索利斯相变
16.4982
4Russian (ru)
Переход Березинского — Костерлица — Таулеса
15.4635
5Japanese (ja)
ベレジンスキー=コステリッツ=サウレス転移
14.6238
6Italian (it)
Transizione di Kosterlitz-Thouless
9.0876
7Spanish (es)
Transición de Kosterlitz-Thouless
5.7919
8Ukrainian (uk)
Перехід Костерліца-Таулесса
4.1824
9German (de)
Kosterlitz-Thouless-Übergang
3.0958
10Hebrew (he)
מעבר קוסטרליץ-תולס
1.5591
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 "Berezinskii–Kosterlitz–Thouless transition" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Berezinskii–Kosterlitz–Thouless transition
303 536
2Japanese (ja)
ベレジンスキー=コステリッツ=サウレス転移
44 647
3Russian (ru)
Переход Березинского — Костерлица — Таулеса
29 752
4German (de)
Kosterlitz-Thouless-Übergang
22 081
5French (fr)
Transition Berezinski-Kosterlitz-Thouless
19 497
6Italian (it)
Transizione di Kosterlitz-Thouless
18 284
7Chinese (zh)
别列津斯基-科斯特利茨-索利斯相变
10 895
8Spanish (es)
Transición de Kosterlitz-Thouless
2 178
9Hebrew (he)
מעבר קוסטרליץ-תולס
560
10Ukrainian (uk)
Перехід Костерліца-Таулесса
509
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 "Berezinskii–Kosterlitz–Thouless transition" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Berezinskii–Kosterlitz–Thouless transition
2 139
2Japanese (ja)
ベレジンスキー=コステリッツ=サウレス転移
181
3Russian (ru)
Переход Березинского — Костерлица — Таулеса
123
4Chinese (zh)
别列津斯基-科斯特利茨-索利斯相变
119
5German (de)
Kosterlitz-Thouless-Übergang
109
6French (fr)
Transition Berezinski-Kosterlitz-Thouless
81
7Italian (it)
Transizione di Kosterlitz-Thouless
62
8Spanish (es)
Transición de Kosterlitz-Thouless
34
9Hebrew (he)
מעבר קוסטרליץ-תולס
10
10Ukrainian (uk)
Перехід Костерліца-Таулесса
10
More...

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

The highest AI

Language versions of the article "Berezinskii–Kosterlitz–Thouless transition" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Berezinskii–Kosterlitz–Thouless transition
75
2French (fr)
Transition Berezinski-Kosterlitz-Thouless
29
3Italian (it)
Transizione di Kosterlitz-Thouless
22
4German (de)
Kosterlitz-Thouless-Übergang
14
5Russian (ru)
Переход Березинского — Костерлица — Таулеса
14
6Japanese (ja)
ベレジンスキー=コステリッツ=サウレス転移
7
7Hebrew (he)
מעבר קוסטרליץ-תולס
6
8Chinese (zh)
别列津斯基-科斯特利茨-索利斯相变
5
9Spanish (es)
Transición de Kosterlitz-Thouless
3
10Ukrainian (uk)
Перехід Костерліца-Таулесса
3
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 "Berezinskii–Kosterlitz–Thouless transition" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Berezinskii–Kosterlitz–Thouless transition
2
2Russian (ru)
Переход Березинского — Костерлица — Таулеса
1
3German (de)
Kosterlitz-Thouless-Übergang
0
4Spanish (es)
Transición de Kosterlitz-Thouless
0
5French (fr)
Transition Berezinski-Kosterlitz-Thouless
0
6Hebrew (he)
מעבר קוסטרליץ-תולס
0
7Italian (it)
Transizione di Kosterlitz-Thouless
0
8Japanese (ja)
ベレジンスキー=コステリッツ=サウレス転移
0
9Ukrainian (uk)
Перехід Костерліца-Таулесса
0
10Chinese (zh)
别列津斯基-科斯特利茨-索利斯相变
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 "Berezinskii–Kosterlitz–Thouless transition" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Berezinskii–Kosterlitz–Thouless transition
52
2German (de)
Kosterlitz-Thouless-Übergang
22
3French (fr)
Transition Berezinski-Kosterlitz-Thouless
16
4Japanese (ja)
ベレジンスキー=コステリッツ=サウレス転移
11
5Russian (ru)
Переход Березинского — Костерлица — Таулеса
11
6Chinese (zh)
别列津斯基-科斯特利茨-索利斯相变
10
7Italian (it)
Transizione di Kosterlitz-Thouless
8
8Ukrainian (uk)
Перехід Костерліца-Таулесса
4
9Spanish (es)
Transición de Kosterlitz-Thouless
3
10Hebrew (he)
מעבר קוסטרליץ-תולס
1
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
Kosterlitz-Thouless-Übergang
enEnglish
Berezinskii–Kosterlitz–Thouless transition
esSpanish
Transición de Kosterlitz-Thouless
frFrench
Transition Berezinski-Kosterlitz-Thouless
heHebrew
מעבר קוסטרליץ-תולס
itItalian
Transizione di Kosterlitz-Thouless
jaJapanese
ベレジンスキー=コステリッツ=サウレス転移
ruRussian
Переход Березинского — Костерлица — Таулеса
ukUkrainian
Перехід Костерліца-Таулесса
zhChinese
别列津斯基-科斯特利茨-索利斯相变

Popularity rank trends

Best Rank English:
#40299
10.2016
Global:
#43143
10.2016

AI rank trends

Best Rank English:
#22050
10.2016
Global:
#7749
10.2016

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Kosterlitz–Thouless transition from Wikipedia articles about Wikipedia article, Classical XY model, Michael Kosterlitz, List of states of matter and Phase change. Whereas reading the article about Kosterlitz–Thouless transition people most often go to Wikipedia articles on Classical XY model, Vadim Berezinskii, Michael Kosterlitz, Mermin–Wagner theorem and David J. Thouless.

Cumulative results of quality and popularity of the Wikipedia article

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

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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