Scaling laws for ising models near
LP Kadanoff - Physics Physique Fizika, 1966 - APS
LP Kadanoff
Physics Physique Fizika, 1966•APSA model for describing the behavior of Ising models very near T c is introduced. The
description is based upon dividing the Ising model into cells which are microscopically large
but much smaller than the coherence length and then using the total magnetization within
each cell as a collective variable. The resulting calculation serves as a partial justification for
Ifidom's conjecture about the homogeneity of the free energy and at the same time gives his
result s ν′= γ′+ 2 β.
description is based upon dividing the Ising model into cells which are microscopically large
but much smaller than the coherence length and then using the total magnetization within
each cell as a collective variable. The resulting calculation serves as a partial justification for
Ifidom's conjecture about the homogeneity of the free energy and at the same time gives his
result s ν′= γ′+ 2 β.
Abstract
A model for describing the behavior of Ising models very near T c is introduced. The description is based upon dividing the Ising model into cells which are microscopically large but much smaller than the coherence length and then using the total magnetization within each cell as a collective variable. The resulting calculation serves as a partial justification for Ifidom's conjecture about the homogeneity of the free energy and at the same time gives his result s ν′= γ′+ 2 β.
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