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In statistical mechanics, Lee–Yang theory, sometimes also known as Yang–Lee theory, is a scientific theory which seeks to describe phase transitions in large physical systems in the thermodynamic limit based on the properties of small, finite-size systems. The theory revolves around the complex zeros of partition functions of finite-size ...
Here is a quick review of the steps and ideas behind Schlossberg's theory: Transitions. Events or nonevents resulting in changed relationships, routines, assumptions, or even roles; Meaning for the individual based on Type: anticipated, unanticipated, nonevent; Context: relationship to transition and the setting; Impact: alterations in daily life
The exponent , also from percolation theory, measures the number of size s clusters far from (or the number of clusters at criticality): (/), with the factor removed at critical probability. For symmetries, the group listed gives the symmetry of the order parameter.
Such phase transitions take place in matter because it is a network of particles, and as such, rules of network phase transition directly apply to it. Phase transitions in networks happen as links are added to a network, meaning that having N nodes, in each time increment, a link is placed between a randomly chosen pair of them.
This is because Landau theory is a mean field theory, and does not include long-range correlations. This theory does not explain non-analyticity at the critical point, but when applied to superfluid and superconductor phase transition, Landau's theory provided inspiration for another theory, the Ginzburg–Landau theory of superconductivity.
The key observation is that near a phase transition or critical point, disturbances occur at all size scales, and thus one should look for an explicitly scale-invariant theory to describe the phenomena, as seems to have been put in a formal theoretical framework first by Pokrovsky and Patashinsky in 1965 [4].
In demography, demographic transition is a phenomenon and theory in the social sciences referring to the historical shift from high birth rates and high death rates to low birth rates and low death rates as societies attain more technology, education (especially of women), and economic development. [1]
The logarithmic distance dependence of the energy is the reason, why KTHNY-theory is one of the few theories of phase transitions which can be solved analytically: in statistical physics one has to calculate partition functions, e.g. the probability distribution for all possible configurations of dislocation pairs given by the Boltzmann ...
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