Poster presented by Mikhail Yurishchev

Poster Session

Topic: Spin Models

Improved Transfer-Matrix Schemes of Phenomenological Renormalization

Abstract: Different phenomenological RG transformations based on scaling relations for the derivatives of the inverse correlation length and singular part of the free-energy density are considered. Study is performed on the 2D square and 3-state Potts lattices and on the 3D simple-cubic Ising lattice. Variats of RG equations yielding more accurate results than Nightingale's scheme are found. In the 2D case an equation leading to the exact location of critical point is obtained.


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