Mean-field theory

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Mean-field theory

Quality:

Mean field theory - approximation method where the behavior of a single particle can be treated assuming all other influences are averaged. Article "Mean-field theory" in English Wikipedia has 24.4 points for quality (as of July 1, 2025). The article contains 9 references and 9 sections. The article also contains quality flaw template, which reduce quality score.

This article has the best quality in Hebrew Wikipedia. However, this article is the most popular in English version.

In June 2025 the article "Mean-field theory" was edited by 1 authors in English Wikipedia and written by 4 authors in all languages.

Since the creation of article "Mean-field theory", its content was written by 104 registered users of English Wikipedia and edited by 260 registered Wikipedia users in all languages.

The article is cited 276 times in English Wikipedia and cited 587 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #27990 in September 2022
  • Global: #29290 in October 2003

The highest popularity rank from 2008:

  • Local (English): #139219 in April 2015
  • Global: #201903 in April 2015

There are 14 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
1Hebrew (he)
תורת שדה ממוצע
28.5584
2English (en)
Mean-field theory
24.3723
3Catalan (ca)
Teoria del camp mitjà
24.2391
4French (fr)
Théorie du champ moléculaire
20.2728
5Italian (it)
Teoria di campo medio
19.925
6Chinese (zh)
平均场论
19.5488
7Portuguese (pt)
Teoria de campo médio
19.0759
8Ukrainian (uk)
Теорія середнього поля
17.8789
9German (de)
Molekularfeldtheorie
13.9489
10Russian (ru)
Метод самосогласованного поля
13.4117
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 "Mean-field theory" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Mean-field theory
1 028 936
2Japanese (ja)
平均場近似
139 210
3German (de)
Molekularfeldtheorie
84 527
4Russian (ru)
Метод самосогласованного поля
69 936
5Chinese (zh)
平均场论
46 684
6Portuguese (pt)
Teoria de campo médio
16 043
7Polish (pl)
Teoria pola średniego
14 875
8Spanish (es)
Teoría de campo medio
9 080
9French (fr)
Théorie du champ moléculaire
8 361
10Italian (it)
Teoria di campo medio
5 652
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 "Mean-field theory" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Mean-field theory
4 174
2Japanese (ja)
平均場近似
443
3Russian (ru)
Метод самосогласованного поля
282
4Chinese (zh)
平均场论
228
5German (de)
Molekularfeldtheorie
226
6Italian (it)
Teoria di campo medio
84
7Spanish (es)
Teoría de campo medio
57
8French (fr)
Théorie du champ moléculaire
55
9Portuguese (pt)
Teoria de campo médio
42
10Polish (pl)
Teoria pola średniego
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 "Mean-field theory" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Mean-field theory
104
2Russian (ru)
Метод самосогласованного поля
35
3German (de)
Molekularfeldtheorie
32
4Hebrew (he)
תורת שדה ממוצע
19
5French (fr)
Théorie du champ moléculaire
11
6Japanese (ja)
平均場近似
11
7Chinese (zh)
平均场论
11
8Italian (it)
Teoria di campo medio
8
9Persian (fa)
نظریه میانگین میدان
7
10Spanish (es)
Teoría de campo medio
6
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 "Mean-field theory" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Teoria del camp mitjà
1
2German (de)
Molekularfeldtheorie
1
3English (en)
Mean-field theory
1
4Italian (it)
Teoria di campo medio
1
5Spanish (es)
Teoría de campo medio
0
6Persian (fa)
نظریه میانگین میدان
0
7French (fr)
Théorie du champ moléculaire
0
8Hebrew (he)
תורת שדה ממוצע
0
9Japanese (ja)
平均場近似
0
10Polish (pl)
Teoria pola średniego
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 "Mean-field theory" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Mean-field theory
276
2Japanese (ja)
平均場近似
52
3German (de)
Molekularfeldtheorie
42
4Russian (ru)
Метод самосогласованного поля
36
5Catalan (ca)
Teoria del camp mitjà
34
6Chinese (zh)
平均场论
25
7Hebrew (he)
תורת שדה ממוצע
23
8Spanish (es)
Teoría de campo medio
20
9French (fr)
Théorie du champ moléculaire
19
10Portuguese (pt)
Teoria de campo médio
19
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
caCatalan
Teoria del camp mitjà
deGerman
Molekularfeldtheorie
enEnglish
Mean-field theory
esSpanish
Teoría de campo medio
faPersian
نظریه میانگین میدان
frFrench
Théorie du champ moléculaire
heHebrew
תורת שדה ממוצע
itItalian
Teoria di campo medio
jaJapanese
平均場近似
plPolish
Teoria pola średniego
ptPortuguese
Teoria de campo médio
ruRussian
Метод самосогласованного поля
ukUkrainian
Теорія середнього поля
zhChinese
平均场论

Popularity rank trends

Best Rank English:
#139219
04.2015
Global:
#201903
04.2015

AI rank trends

Best Rank English:
#27990
09.2022
Global:
#29290
10.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Mean field theory from Wikipedia articles about Hartree–Fock method, Ising model, Random matrix, Self-consistent mean field and Mean field game theory. Whereas reading the article about Mean field theory people most often go to Wikipedia articles on Dynamical mean field theory, Helmholtz free energy, Mean field game theory, Ising model and Ginzburg criterion.

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