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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 [1] (In the Ginzburg–Landau description, these are the operators normally called ,,.) These expressions are given in the last column of ...
Close enough to the critical point, everything can be reexpressed in terms of certain ratios of the powers of the reduced quantities. These are the scaling functions. The origin of scaling functions can be seen from the renormalization group. The critical point is an infrared fixed point. In a sufficiently small neighborhood of the critical ...
Critical phenomena include scaling relations among different quantities, power-law divergences of some quantities (such as the magnetic susceptibility in the ferromagnetic phase transition) described by critical exponents, universality, fractal behaviour, and ergodicity breaking.
This is a collection of temperature conversion formulas and comparisons among eight different temperature scales, several of which have long been obsolete.. Temperatures on scales that either do not share a numeric zero or are nonlinearly related cannot correctly be mathematically equated (related using the symbol =), and thus temperatures on different scales are more correctly described as ...
The law is named for physicist Christopher Homes and was first presented in the July 29, 2004 edition of Nature, [1] and was the subject of a News and Views article by Jan Zaanen in the same issue [2] in which he speculated that the high transition temperatures observed in the cuprate superconductors are because the metallic states in these ...
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A powerful tool in physics is the concept of dimensional analysis and scaling laws. By examining the physical effects present in a system, we may estimate their size and hence which, for example, might be neglected. In some cases, the system may not have a fixed natural length or time scale, while the solution depends on space or time.
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