An important problem in all real space renormalization group calculations is the choice of appropriate weight factor for different configurations. In this context, the use of linear weight factor has been restricted due to lack of suitable criterion for selecting the parameterq. An elegant matching procedure has recently been developed to fixq. First we undertake a systematic investigation of the variation of critical constants with cell size. A comparison is also made with the results obtained using an earlier criterion proposed by Subbarao. Secondly, we extend the applicability of the theory to the realm of dynamic problems by studying the exponent of energylike perturbation in 2D Glauber-Ising model. The value of the exponent obtained for square and triangular lattices are 2·147 and 1·918 respectively which are in good agreement with the general consensus (∼2·0).
Volume 42 | Issue 5
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