# Low-concentration series in general dimension

@article{Adler1990LowconcentrationSI, title={Low-concentration series in general dimension}, author={Joan Adler and Yigal Meir and Amnon Aharony and A. Brooks Harris and Lior Klein}, journal={Journal of Statistical Physics}, year={1990}, volume={58}, pages={511-538} }

We discuss recent work on the development and analysis of low-concentration series. For many models, the recent breakthrough in the extremely efficient no- free-end method of series generation facilitates the derivation of 15th-order series for multiple moments in general dimension. The 15th-order series have been obtained for lattice animals, percolation, and the Edwards-Anderson Ising spin glass. In the latter cases multiple moments have been found. From complete graph tables through to 13th…

## 46 Citations

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The computational validation employs accelerated random walk simulations with a transfer-matrix description of diffusion to evaluate directly the dynamical critical exponents below d_{u} as well as their logarithmic scaling above d{u}.

### Corrections to scaling for diffusion exponents on three-dimensional percolation systems at criticality

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- 1991

Recent results of Monte Carlo simulations of the ant-in-the-labyrinth method in three-dimensional percolation lattices are reanalyzed in the light of more accurate corrections to scaling ansatz,…

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