Mermin–Wagner theorem

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Mermin–Wagner theorem

Quality:

Mermin–Wagner theorem - theorem about the impossibility of spontaneous symmetry breaking in two-dimensional systems at finite temperature. Article “Mermin–Wagner theorem” in English Wikipedia has 47.3 points for quality (as of July 1, 2025). The article contains 18 references and 13 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 “Mermin–Wagner theorem”, its content was written by 45 registered users of English Wikipedia and edited by 128 registered Wikipedia users in all languages.

The article is cited 27 times in English Wikipedia and cited 63 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #78336 in April 2020
  • Global: #94745 in December 2009

The highest popularity rank from 2008:

  • Local (English): #437919 in July 2024
  • Global: #581978 in October 2016

There are 9 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)
Mermin–Wagner theorem
47.2941
2German (de)
Mermin-Wagner-Theorem
40.9042
3Chinese (zh)
梅尔曼–瓦格纳定理
36.2023
4Korean (ko)
머민-바그너 정리
14.9913
5Serbian (sr)
Мермин-Вагнерова теорема
14.8417
6Spanish (es)
Teorema de Mermin-Wagner
7.3654
7Italian (it)
Teorema di Mermin-Wagner
4.2946
8Polish (pl)
Twierdzenie Mermina-Wagnera
1.8198
9Russian (ru)
Теорема Мермина — Вагнера
1.3581
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 "Mermin–Wagner theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Mermin–Wagner theorem
257 941
2German (de)
Mermin-Wagner-Theorem
37 771
3Spanish (es)
Teorema de Mermin-Wagner
14 312
4Italian (it)
Teorema di Mermin-Wagner
9 939
5Polish (pl)
Twierdzenie Mermina-Wagnera
6 141
6Russian (ru)
Теорема Мермина — Вагнера
6 099
7Chinese (zh)
梅尔曼–瓦格纳定理
4 549
8Korean (ko)
머민-바그너 정리
3 271
9Serbian (sr)
Мермин-Вагнерова теорема
241
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 "Mermin–Wagner theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Mermin–Wagner theorem
1 949
2German (de)
Mermin-Wagner-Theorem
155
3Russian (ru)
Теорема Мермина — Вагнера
66
4Chinese (zh)
梅尔曼–瓦格纳定理
57
5Italian (it)
Teorema di Mermin-Wagner
43
6Spanish (es)
Teorema de Mermin-Wagner
29
7Korean (ko)
머민-바그너 정리
24
8Polish (pl)
Twierdzenie Mermina-Wagnera
14
9Serbian (sr)
Мермин-Вагнерова теорема
4
More...

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

The highest AI

Language versions of the article "Mermin–Wagner theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Mermin–Wagner theorem
45
2German (de)
Mermin-Wagner-Theorem
27
3Italian (it)
Teorema di Mermin-Wagner
19
4Spanish (es)
Teorema de Mermin-Wagner
16
5Polish (pl)
Twierdzenie Mermina-Wagnera
10
6Russian (ru)
Теорема Мермина — Вагнера
6
7Chinese (zh)
梅尔曼–瓦格纳定理
3
8Korean (ko)
머민-바그너 정리
1
9Serbian (sr)
Мермин-Вагнерова теорема
1
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 "Mermin–Wagner theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Mermin-Wagner-Theorem
0
2English (en)
Mermin–Wagner theorem
0
3Spanish (es)
Teorema de Mermin-Wagner
0
4Italian (it)
Teorema di Mermin-Wagner
0
5Korean (ko)
머민-바그너 정리
0
6Polish (pl)
Twierdzenie Mermina-Wagnera
0
7Russian (ru)
Теорема Мермина — Вагнера
0
8Serbian (sr)
Мермин-Вагнерова теорема
0
9Chinese (zh)
梅尔曼–瓦格纳定理
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 "Mermin–Wagner theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Mermin–Wagner theorem
27
2German (de)
Mermin-Wagner-Theorem
12
3Spanish (es)
Teorema de Mermin-Wagner
6
4Italian (it)
Teorema di Mermin-Wagner
6
5Korean (ko)
머민-바그너 정리
4
6Polish (pl)
Twierdzenie Mermina-Wagnera
3
7Chinese (zh)
梅尔曼–瓦格纳定理
3
8Russian (ru)
Теорема Мермина — Вагнера
2
9Serbian (sr)
Мермин-Вагнерова теорема
0
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
Mermin-Wagner-Theorem
enEnglish
Mermin–Wagner theorem
esSpanish
Teorema de Mermin-Wagner
itItalian
Teorema di Mermin-Wagner
koKorean
머민-바그너 정리
plPolish
Twierdzenie Mermina-Wagnera
ruRussian
Теорема Мермина — Вагнера
srSerbian
Мермин-Вагнерова теорема
zhChinese
梅尔曼–瓦格纳定理

Popularity rank trends

Best Rank English:
#437919
07.2024
Global:
#581978
10.2016

AI rank trends

Best Rank English:
#78336
04.2020
Global:
#94745
12.2009

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Mermin–Wagner theorem from Wikipedia articles about Nathaniel David Mermin, Sidney Coleman, Kosterlitz–Thouless transition, Goldstone boson and Classical XY model. Whereas reading the article about Mermin–Wagner theorem people most often go to Wikipedia articles on Spontaneous symmetry breaking, Goldstone boson, Elitzurs theorem, Nathaniel David Mermin and Kosterlitz–Thouless transition.

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