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Convergence of finite size scaling analysis: Weak size dependence of renormalization transformations

Author

Listed:
  • Dudek, M.R.
  • Van Leeuwen, J.M.J.
  • Blöte, H.W.J.

Abstract

We investigate two specific renormalization transformations and show numerically that size effects on the transformation are exponentially weak. This implies the absence of analytic background of finite size corrections in the thermodynamic critical properties. Similar simplifications do not occur in the temperature dependent corrections in the singular critical properties as following from series expansions. The exponentially weak size corrections are related to the local nature of the renormalization transformation.

Suggested Citation

  • Dudek, M.R. & Van Leeuwen, J.M.J. & Blöte, H.W.J., 1987. "Convergence of finite size scaling analysis: Weak size dependence of renormalization transformations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 344-367.
    • Handle: RePEc:eee:phsmap:v:147:y:1987:i:1:p:344-367
    DOI: 10.1016/0378-4371(87)90114-2
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    References listed on IDEAS

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    1. Blöte, H.W.J & Nightingale, M.P, 1982. "Critical behaviour of the two-dimensional Potts model with a continuous number of states; A finite size scaling analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(3), pages 405-465.
    2. Nijssen, E.J. & Reijnders, W.J.M., 1987. "Privatisering en commercialisering : Een strategische en organisatorische oriëntatie ten aaanzien van verzelfstandiging," Research Memorandum FEW 287, Tilburg University, School of Economics and Management.
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