Condensed Matter Physics, 2023, vol. 26, No. 1, 13101
DOI:10.5488/CMP.26.13101           arXiv:2303.01874

Title: Scaling behaviour under the influence of a homogeneous size-dependent perturbation
Author(s):
  L. Turban (Université de Lorraine, CNRS, LPCT, F-54000 Nancy, France)

We study the finite-size scaling behaviour at the critical point, resulting from the addition of a homogeneous size-dependent perturbation, decaying as an inverse power of the system size. The scaling theory is first formulated in a general framework and then illustrated using three concrete problems for which exact results are obtained.

Key words: finite-size scaling, size-dependent perturbation, marginal perturbation, universal amplitude


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