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...ion surface critical behavior''' concerns the influence of surfaces on the critical behavior of percolation. ...f [[critical behavior]] and the [[percolation critical exponents]]. These exponents allow one to describe the behavior as the threshold is approached. ...

...d by the fluid's state properties at its [[critical point (thermodynamics)|critical point]]. These dimensionless thermodynamic coordinates, taken together wit ...phase transitions.<ref>[[Hagen Kleinert]] and Verena Schulte-Frohlinde, ''Critical Properties of φ⁴-Theories'', pp.8, [http://www.worldscibooks.com ...

...critical point (thermodynamics)|critical point]] as the point at which two-phase coexistence terminates. ...l point. This point is therefore "twice critical", since it belongs to two critical branches.<br> ...

...ystem above which mean field theory gives proper results, and the critical exponents predicted by mean field theory match exactly with those obtained by numeric ...ter are much smaller than the actual value of the order parameter near the critical point. ...

...ritical opalescence]] of liquid near its [[critical point (thermodynamics)|critical point]]. ...of the above table, and were used to calculate the values of the critical exponents using the operator dimensions values from the following table: ...

...ld.png|230px|thumb|right|Arrott plot for a simple mean field ferromagnetic phase transition. Here, as in the Arrott's paper,<ref name=arrott /> the relation ...modynamic free energy|free energy]] of a ferromagnetic material close to a phase transition can be written as: ...

...=R.|last3=Chen|first3=Wei|date=2020-01-20|title=Unifying topological phase transitions in non-interacting, interacting, and periodically driven systems|journal=EP ...ed lines depict topological phase boundaries. Across the topological phase transitions, the Berry connection diverges and flips sign around the high-symmetry poin ...

...he critical exponents of the transition and to its rate—to how quickly the critical point is traversed. |title=Some implications of a cosmological phase transition ...

| title = Ordering Metastability, and Phase Transitions in Two-Dimensional Systems | title = The critical properties of the two-dimensional XY model ...

...ster [[algorithm]] for [[Monte Carlo simulation]] for large systems near [[Critical point (thermodynamics)|criticality]]. It has been introduced by [[Robert Sw ...was the first to produce unusually small values for the dynamical critical exponents: <math>z=0.35</math> for the 2D Ising model (<math>z=2.125</math> for stand ...

...4-015-8326-8|access-date=2021-04-18}}</ref> The random cluster model has a critical limit, described by a [[conformal field theory]]. ...t1=Kasteleyn|first1=P. W.|last2=Fortuin|first2=C. M.|date=1969|title=Phase Transitions in Lattice Systems with Random Local Properties|journal=Physical Society of ...

...sition bears some analogy with the [[Laser|lasing]] instability, these two transitions belong to different universality classes. ...rst1=Klaus|last2=Lieb|first2=Elliott H|year=1973|title=On the superradiant phase transition for molecules in a quantized radiation field: the dicke maser mo ...

...onents]] of the liquid–gas phase transition in water and the ferromagnetic phase transition in magnets are the same. In the renormalization group language, ...cal exponents for <math>d=3</math> and the Berezinskii–Kosterlitz–Thouless phase transition for <math>d=2</math>, <math>N=2</math>. ...

...te or bond percolation is considered. This article deals with the critical exponents of random percolation. ...w in <math>|p - p_c|\,\!</math>, and the exponent of that power law is the critical exponent. While the exponent of that power law is generally the same on bot ...

...mers near their order-disorder transition, polymer blends near their phase transitions, etc. In such situations the partition function integral defining the fiel ...g the formalism of [[renormalization group]] (RG) theory, to investigate [[critical phenomena]] of statistical systems (Wilson 1971). ...

...ld theory, [[statistical physics]] (especially [[phase transition]]s and [[critical phenomena]]) and [[complex systems]] (especially applied to [[Irish mythol ...Kenna|last3 = Walter|first3 = J.-C.| title = Hyperscaling above the upper critical dimension| journal = [[Nuclear Physics B]]| volume = 865| pages = 115–132| ...

|(d) Phase transitions in the quantum Heisenberg model |Existence of continuum phase transitions ...

One of DMFT's main successes is to describe the [[phase transition]] between a metal and a [[Mott insulator]] when the strength of ...lt in mean-field [[critical exponents]], the pronounced changes before the phase transition are not reflected in the DMFT self-energy. ...

...uced instantons. In the deterministic limit, this phase collapses onto the critical boundary of conventional chaos. ...y, Y.|author3=Ma, S.K.|year=1976|title=Lowering of dimensionality in phase transitions with random fields|journal=Physical Review Letters|volume=37|issue=20|pages ...

...ing statistical mechanics, which could help to derive topology-dependent [[critical exponent]]s in a polymer network.<ref>{{Cite journal|last=Duplantier|first= ...mechanical properties like elasticity and physical properties involving [[phase transition]]s. To date, several polymers with topological interest have bee ...