Universal Finite-size Scaling Functions with Exact Non-universal Metric Factors

TL;DR

This paper derives universal finite-size scaling functions for the Ising model on various lattices, incorporating exact non-universal metric factors, enhancing understanding of finite-size effects in statistical physics models.

Contribution

It provides exact universal finite-size scaling functions with non-universal metric factors for the Ising model on multiple lattice types, using precise partition functions and corrections.

Findings

Universal finite-size scaling functions derived for specific heat, internal energy, and free energy.

Exact non-universal metric factors identified for different lattice geometries.

Enhanced understanding of finite-size effects in lattice models.

Abstract

Using exact partition functions and finite-size corrections for the Ising model on finite square, plane triangular, and honeycomb lattices, we obtain universal finite-size scaling functions for the specific heat, the internal energy, and the free energy of the Ising model on these lattices with exact non-universal metric factors.