"Critical phenomena"의 두 판 사이의 차이

2021년 2월 17일 (수) 03:00 기준 최신판

introduction

In this sense, the thermodynamic functions seem to display scale invariance around the critical point (for systems that have a critical point!), with the scaling variable t=(1-T/Tc).
Note that the logarithm y=log x obeys y(ax)=y(x) + log a.
It is scale invariant with exponent 0 (and a scale-dependent shift.)
This is related to the famous formula\(\lim_{p\to 0}\frac{x^p-1}{p} = \log x\) which shows that logs are a special case of power law functions with power 0.
basics of magnetism

examples

liquid-vapour critical point
paramagnetic-ferromagnetic transition
multicomponent fluids
alloys
superfulids
superconductors
polymers
fully developed turbulence
quark-gluon plasma
early universe

E.A. Guggenheim, The Journal of Chemical Physics 13, 253-261 (1945).

Tromp, R. M., W. Theis, and N. C. Bartelt. 1996. Real-Time Microscopy of Two-Dimensional Critical Fluctuations: Disordering of the Si(113)-( 3 x 1) Reconstruction. Physical Review Letters 77, no. 12: 2522. doi:10.1103/PhysRevLett.77.2522.

related items

5 conformal field theory(CFT)

expositions

Scaling, universality, and renormalization: Three pillars of modern critical phenomena ftp://162.105.205.230/pub/Books/%CE%EF%C0%ED/%CE%EF%C0%ED%D1%A7%CA%B7/History_of_Modern_Physics/Statistical%20Physics%20and%20Fluids/Scaling,%20universality,%20and%20renormalization.pdf

메타데이터

위키데이터

ID : Q900634

Spacy 패턴 목록

[{'LOWER': 'critical'}, {'LEMMA': 'phenomenon'}]

@@ 1번째 줄: / 1번째 줄: @@
 ==introduction==
 *   In this sense, '''the thermodynamic functions seem to display scale invariance around the critical point (for systems that have a critical point!), with the scaling variable t=(1-T/Tc).'''
 * Note that the logarithm y=log x obeys y(ax)=y(x) + log a.
 * It is scale invariant with exponent 0 (and a scale-dependent shift.)
 *  This is related to the famous formula<math>\lim_{p\to 0}\frac{x^p-1}{p} = \log x</math> which shows that logs are a special case of power law functions with power 0.
 * [[basics of magnetism]]
 ==examples==
@@ 24번째 줄: / 24번째 줄: @@
 * early universe
 E.A. Guggenheim, The Journal of Chemical Physics 13, 253-261 (1945).
 Tromp, R. M., W. Theis, and N. C. Bartelt. 1996. Real-Time Microscopy of Two-Dimensional Critical Fluctuations: Disordering of the Si(113)-( 3 x 1) Reconstruction. Physical Review Letters 77, no. 12: 2522. doi:[http://dx.doi.org/10.1103/PhysRevLett.77.2522 10.1103/PhysRevLett.77.2522].
-==history==
-* http://www.google.com/search?hl=en&tbs=tl:1&q=
 ==related items==
@@ 50번째 줄: / 42번째 줄: @@
 * [[5 conformal field theory(CFT)]]
-==encyclopedia==
-* http://en.wikipedia.org/wiki/
-* http://www.scholarpedia.org/
-* [http://eom.springer.de/ http://eom.springer.de]
-* http://www.proofwiki.org/wiki/
 ==expositions==
 * Scaling, universality, and renormalization: Three pillars of modern critical phenomena ftp://162.105.205.230/pub/Books/%CE%EF%C0%ED/%CE%EF%C0%ED%D1%A7%CA%B7/History_of_Modern_Physics/Statistical%20Physics%20and%20Fluids/Scaling,%20universality,%20and%20renormalization.pdf
-==articles==
-* http://www.ams.org/mathscinet
-* http://www.zentralblatt-math.org/zmath/en/
-* http://arxiv.org/
-* http://www.pdf-search.org/
-* http://pythagoras0.springnote.com/
-* http://dx.doi.org/
-==question and answers(Math Overflow)==
-* http://mathoverflow.net/search?q=
-* http://mathoverflow.net/search?q=
-==links==
-* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier]
-* [http://pythagoras0.springnote.com/pages/1947378 수식표현 안내]
-* [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]
-* http://functions.wolfram.com/
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+==메타데이터==
+===위키데이터===
+* ID :  [https://www.wikidata.org/wiki/Q900634 Q900634]
+===Spacy 패턴 목록===
+* [{'LOWER': 'critical'}, {'LEMMA': 'phenomenon'}]