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Shape dependence of the finite-size scaling limit in a strongly anisotropic \(\mathsf{O(\infty)}\) model

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Abstract.

We discuss the shape dependence of the finite-size scaling limit in a strongly anisotropic O(N) model in the large-N limit. We show that scaling is observed even if an incorrect value for the anisotropy exponent is considered. However, the related exponents may only be effective ones, differing from the correct critical exponents of the model. We discuss the implications of our results for numerical finite-size scaling studies of strongly anisotropic systems.

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Authors and Affiliations

  1. Dipartimento di Fisica and INFN, Università di Milano, and INFM-NEST, 20133, Milano, Italy

    S. Caracciolo

  2. Dipartimento di Fisica and INFN, Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, 70569, Stuttgart, Germany

    A. Gambassi

  3. Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, 70569, Germany

    M. Gubinelli

  4. Dipartimento di Matematica Applicata and INFN, Università di Pisa, 56100, Pisa, Italy

    A. Pelissetto

Authors
  1. S. Caracciolo
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  2. A. Gambassi
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  3. M. Gubinelli
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  4. A. Pelissetto
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Corresponding author

Correspondence to S. Caracciolo.

Additional information

Received: 9 April 2003, Published online: 4 August 2003

PACS:

05.70.Jk Critical point phenomena - 64.60.-i General studies of phase transitions

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Caracciolo, S., Gambassi, A., Gubinelli, M. et al. Shape dependence of the finite-size scaling limit in a strongly anisotropic \(\mathsf{O(\infty)}\) model. Eur. Phys. J. B 34, 205–217 (2003). https://doi.org/10.1140/epjb/e2003-00213-5

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