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arXiv · 0707.0055

The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models

Michele Caselle·Martin Hasenbusch·Marco Panero
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Abstract

We provide accurate Monte Carlo results for the free energy of interfaces with periodic boundary conditions in the 3D Ising model. We study a large range of inverse temperatures, allowing to control corrections to scaling. In addition to square interfaces, we study rectangular interfaces for a large range of aspect ratios u=L_1/L_2. Our numerical results are compared with predictions of effective interface models. This comparison verifies clearly the effective Nambu-Goto model up to two-loop order. Our data also allow us to obtain the estimates T_c sigma^-1/2=1.235(2), m_0++ sigma^-1/2=3.037(16) and R_+=f_+^2 sigma_0 =0.387(2), which are more precise than previous ones.

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Michele Caselle, Martin Hasenbusch, Marco Panero. 2007-09-27. The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models. https://doi.org/10.1088/1126-6708%2F2007%2F09%2F117

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