A matching procedure, related to the group structure of block-spin renormalization, is proposed to determine the parameters in the transformations. Applications to linear transformations for 2D Ising models yield good estimates of critical couplings and exponents using simple approximations
NEW CRITERION FOR DETERMINATION OF PARAMETERS IN POSITION SPACE RENORMALIZATION TRANSFORMATIONS
STELLA, ATTILIO;TOIGO, FLAVIO
1978
Abstract
A matching procedure, related to the group structure of block-spin renormalization, is proposed to determine the parameters in the transformations. Applications to linear transformations for 2D Ising models yield good estimates of critical couplings and exponents using simple approximations
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