Critical exponents describe the behavior of physical quantities near continuous phase transitions. It is believed, though not proven, that they are universal...

a percolation transition is characterized by a set of universal critical exponents, which describe the fractal properties of the percolating medium at...

but 1 for undirected percolation), and above the upper critical dimension the critical exponents stabilize and can be calculated by an analog of mean-field...

phase transition) described by critical exponents, universality, fractal behaviour, and ergodicity breaking. Critical phenomena take place in second order...

universal critical exponent α = 0.59 A similar behavior, but with the exponent ν instead of α, applies for the correlation length. The critical exponents are...

must equal zero). Conformal field theory Critical exponent Critical phenomena (more advanced article) Critical points of the elements (data page) Curie...

upper critical dimension the critical exponents of the theory become the same as that in mean field theory. An elegant criterion to obtain the critical dimension...

quantities, whose exponents are referred to as the critical exponents of the system. Diverse systems with the same critical exponents—that is, which display...

temperature), and α is the critical exponent: α = − 0.0127 ( 3 ) {\displaystyle \alpha =-0.0127(3)} . Since this exponent is negative for the superfluid...

In mathematics and computer science, the critical exponent of a finite or infinite sequence of symbols over a finite alphabet describes the largest number...

(T)\propto \left|T-T_{c}\right|^{1/2}} below the critical temperature, indicating a critical exponent β = 1 / 2 {\displaystyle \beta =1/2} for this Landau...

Curie temperature. An accurate model of critical behaviour for magnetic susceptibility with critical exponent γ: χ ∼ 1 ( T − T C ) γ {\displaystyle \chi...

split/recombine the problem f ( n ) {\displaystyle f(n)} relates to the critical exponent c crit = log b ⁡ a {\displaystyle c_{\operatorname {crit} }=\log _{b}a}...

inequality implies that its roots are distributed sparsely, with critical exponent α ≤ ρ ≤ g + 1 {\displaystyle \alpha \leq \rho \leq g+1} . For example...

to prove model properties analytically (including calculating the critical exponents), and examination of the conditions necessary for SOC to emerge. One...

theory critical exponents (with logarithmic corrections in four dimensions). The three dimensional case is interesting because the critical exponents at the...

leads to the study of critical behavior and the percolation critical exponents. These exponents allow one to describe the behavior as the threshold is approached...

topological defects, named disclinations. Peter Young calculated the critical exponent of the diverging correlations length at the transition between crystalline...

combinatorics Continuum percolation theory Critical exponent – Parameter describing physics near critical points Directed percolation – Physical models...

η {\displaystyle \eta } is a critical exponent, which does not have any simple relation with the non-critical exponent ϑ {\displaystyle \vartheta } introduced...

such problems are usually referred to as critical exponents, and one can in principle compute these exponents in the appropriate CFT. An example that links...

number of defects it creates to the critical exponents of the transition and to its rate—to how quickly the critical point is traversed. Based on the formalism...

Applications focus on the theory of critical phenomena. It has led to the most accurate predictions of critical exponents. More details can be read here....

experimental and theoretical determinations of the heat capacity critical exponent α. Scharnhorst effect: Can light signals travel slightly faster than...

determining the value of the critical exponent ν {\displaystyle \nu } of the correlation length. In the thermodynamic limit, at the critical point, the value of...

deviation from the critical temperature Tc. We call ν the (correlation length) critical exponent and z the dynamical critical exponent. Critical behavior of...

The critical exponent for the infinite Fibonacci word is 2 + φ ≈ 3.618 {\displaystyle 2+\varphi \approx 3.618} . It is the smallest index (or critical exponent)...

calculate the critical exponent of the `semi-classical percolation phase transition'. To compare this result with the measured critical exponent, the Fermi-liquid...

{\displaystyle f(x)\sim |x-r|^{p}} , one calls x = r a critical point and p the associated critical exponent of f. If sufficient terms of the series expansion...

model. While the minimal model has been exactly solved (see Ising critical exponents), the solution does not cover other observables such as connectivities...