2000/05/01 by X. S. Chen, V. Dohm · 14 citations
Mathematics · Physics and Astronomy · #Algorithm #Combinatorics #Condensed matter physics #Dimension (graph theory) #Ising model #Lattice (music) #Markov Chains and Monte Carlo Methods #Mathematics #Physics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.63.016113
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 63(1), 016113 (American Physical Society) · LaTex, 4 pages, submitted to Phys. Rev. Lett
arxiv created 2000/05/01 · openalex publication_date 2000/12/21 · openalex created_date 2016/06/24 · arxiv updated 2021/05/26 · openalex updated_date 2026/08/05
We analyze finite-size effects in a L(d) geometry above the upper critical dimension d=4 within the O(n) symmetric straight phi(4) theory on the basis of exact results for n-->infinity and one-loop results for n=1. We show that finite-size effects of the straight phi(4) continuum theory with a smooth (rather than sharp) cutoff belong to the same universality class as those of the straight phi(4) lattice theory. Our analysis predicts both universal and nonuniversal features of finite-size effects and resolves long-standing discrepancies in earlier analyses of Monte Carlo (MC) data for the d=5 Ising model. Our estimates of two fundamental length scales xi(0) and l(0) are confirmed by very recent MC data.