2000/10/28 by Martin Hasenbusch · 3 citations
Mathematics · Physics and Astronomy · #Combinatorics #Complex Network Analysis Techniques #Connection (principal bundle) #Coupling (piping) #Geometry #Lattice (music) #Mathematical physics #Mathematics #Monte Carlo method #Physics #Scaling #Scaling law #Simple (philosophy) #Simple cubic lattice #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat #hep-lat
paper · pdf · doi:10.1088/0305-4470/34/40/302
published as J.Phys.A34:8221-8236,2001 · 21 pages, 2 figures
arxiv created 2000/10/28 · openalex publication_date 2001/10/02 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study corrections to scaling in the O (3)- and O (4)-symmetric ϕ 4 model on the three-dimensional simple cubic lattice with nearest-neighbour interactions. For this purpose, we use Monte Carlo simulations in connection with a finite-size scaling method. We find that a finite value of the coupling λ* exists for both values of N , where leading corrections to scaling vanish. As a first application, we compute the critical exponents ν = 0.710(2) and η = 0.0380(10) for N = 3 and ν = 0.749(2) and η = 0.0365(10) for N = 4.