Can I read Finite-size Scaling Above the Upper Critical Dimension on EtoBox?

Finite-size Scaling Above the Upper Critical Dimension by Wittmann, Matthew; Young, A. P. is a scholarly article available to read on EtoBox.

What is Finite-size Scaling Above the Upper Critical Dimension about?

We present a unified view of finite-size scaling (FSS) in dimension d above the upper critical dimension, for both free and periodic boundary conditions. We find that the modified FSS proposed some time ago to allow for violation of hyperscaling due to a dangerous irrelevant variable, applies only to k=0 fluctuations, and so there is only a single exponent eta describing power-law decay of correlations at criticality, in contrast to recent claims. With free boundary conditions the finite-size "shift" is greater than the rounding. Nonetheless, using T-T_L, where T_L is the finite-size pseudocritical temperature, rather than T-T_c, as the scaling variable, the data does collapse on to a scaling form which includes the behavior both at T_L, where the susceptibility chi diverges like L^{d/2} and at the bulk T_c where it diverges like L^2. These claims are supported by large-scale simulations on the 5-dimensional Ising model.

Author

Wittmann, Matthew; Young, A. P.

Published

2014

Language

EN