Some Numerical Results on the Block Spin Transformation for the 2D Ising Model at the Critical Point

Details Some Numerical Results on the Block Spin Transformation for the 2D Ising Model at the Critical Point Some Numerical Results on the Block Spin Transformation for the 2D Ising Model at the Critical Point

1994-04-12

arxiv.org/abs/cond-mat/9404030v1

Physics

Condensed Matter

34 pages including figures added as uufile. ROMA report

Scientific paper

10.1007/BF02183686

We study the block spin transformation for the 2D Ising model at the critical temperature $T_c$. We consider the model with the constraint that the total spin in each block is zero. An old argument by Cassandro and Gallavotti allows to show that the Gibbs potential for the transformed measure is well defined, provided that such model has a critical temperature $T'_c$ lower than $T_c$. After describing a possible rigorous approach to the problem, we present numerical evidence that indeed $T'_c

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