About: Ising critical exponents

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This article lists the critical exponents of the ferromagnetic transition in the Ising model. In statistical physics, the Ising model is the simplest system exhibiting a continuous phase transition with a scalar order parameter and symmetry. The critical exponents of the transition are universal values and characterize the singular properties of physical quantities. The ferromagnetic transition of the Ising model establishes an important universality class, which contains a variety of phase transitions as different as ferromagnetism close to the Curie point and critical opalescence of liquid near its critical point.

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rdfs:label	Ising critical exponents (en)
rdfs:comment	This article lists the critical exponents of the ferromagnetic transition in the Ising model. In statistical physics, the Ising model is the simplest system exhibiting a continuous phase transition with a scalar order parameter and symmetry. The critical exponents of the transition are universal values and characterize the singular properties of physical quantities. The ferromagnetic transition of the Ising model establishes an important universality class, which contains a variety of phase transitions as different as ferromagnetism close to the Curie point and critical opalescence of liquid near its critical point. (en)
dcterms:subject	Critical exponents (phase transitions)
Wikipage page ID	30292595 (xsd:integer)
Wikipage revision ID	1117484428 (xsd:integer)
Link from a Wikipage to another Wikipage	Quantum field theory Scalar field theory Metropolis–Hastings algorithm Minimal model (physics) Renormalization group Critical exponent Critical exponents Critical point (thermodynamics) Mean field theory Universality class Classical XY model Conformal bootstrap Conformal field theory Critical opalescence Ginzburg–Landau theory Curie temperature Critical exponents (phase transitions) Ising model Hagen Kleinert Phase transition Ferromagnetism Statistical physics Scaling dimension Two-dimensional critical Ising model Order parameter
Link from a Wikipage to an external page	https://web.archive.org/web/20080226151023/http:/www.worldscibooks.com/physics/4733.html http://www.sklogwiki.org/SklogWiki/index.php/Critical_exponents http://users.physik.fu-berlin.de/~kleinert/kleinert/%3Fp=booklist&details=6
sameAs	Ising critical exponents Ising critical exponents Ising critical exponents
dbp:wikiPageUsesTemplate	dbt:ISBN dbt:Math dbt:Reflist dbt:Short_description
has abstract	This article lists the critical exponents of the ferromagnetic transition in the Ising model. In statistical physics, the Ising model is the simplest system exhibiting a continuous phase transition with a scalar order parameter and symmetry. The critical exponents of the transition are universal values and characterize the singular properties of physical quantities. The ferromagnetic transition of the Ising model establishes an important universality class, which contains a variety of phase transitions as different as ferromagnetism close to the Curie point and critical opalescence of liquid near its critical point. From the quantum field theory point of view, the critical exponents can be expressed in terms of scaling dimensions of the local operators of the conformal field theory describing the phase transition (In the Ginzburg–Landau description, these are the operators normally called .) These expressions are given in the last column of the above table, and were used to calculate the values of the critical exponents using the operator dimensions values from the following table: In d=2, the two-dimensional critical Ising model's critical exponents can be computed exactly using the minimal model . In d=4, it is the free massless scalar theory (also referred to as mean field theory). These two theories are exactly solved, and the exact solutions give values reported in the table. The d=3 theory is not yet exactly solved. This theory has been traditionally studied by the renormalization group methods and Monte-Carlo simulations. The estimates following from those techniques, as well as references to the original works, can be found in Refs. and. More recently, a conformal field theory method known as the conformal bootstrap has been applied to the d=3 theory. This method gives results in agreement with the older techniques, but up to two orders of magnitude more precise. These are the values reported in the table. (en)
prov:wasDerivedFrom	wikipedia-en:Ising_critical_exponents?oldid=1117484428&ns=0
page length (characters) of wiki page	7102 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Ising_critical_exponents
is Link from a Wikipage to another Wikipage of	Index of physics articles (I) Critical exponent Universality class Conformal bootstrap Ising model Dicke model Two-dimensional critical Ising model
is foaf:primaryTopic of	wikipedia-en:Ising_critical_exponents

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