2024/12/05 by Kiel, Tolga, Stephan Dürr, Durr, Stephan
Physics and Astronomy · #Theoretical and Computational Physics #Opinion Dynamics and Social Influence #Quantum many-body systems
paper · pdf · doi:10.48550/arxiv.2412.04278
We study the 3D Ising model in the infinite volume limit Nx,y,z→∞ by means of numerical simulations. We determine Tc as well as the critical exponents β,γ and ν, based on finite-size scaling and histogram reweighting techniques. In addition, we study a ``dimensionally reduced'' scenario where Nz is kept fixed (e.g. at 2, 4, 8), while the limit Nx,y→∞ is taken. For each fixed Nz we determine Tc as well as β,γ,ν. For Tc we find a smooth transition curve which connects the well known critical temperatures of the 2D and the 3D Ising model. Regarding β,γ,ν our data suggest that the ``dimensionally reduced'' Ising model is in the same universality class as the 2D Ising model, regardless of Nz.