Mean-field critical behaviour for percolation in high dimensions

1990/03/01 by Takashi Hara, Gordon Slade · 4 citations
Mathematics · Physics and Astronomy · #Combinatorics #Condensed matter physics #Continuum percolation theory #Critical exponent #Critical point (mathematics) #Directed percolation #Exponent #Geometry #Lattice (music) #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematical physics #Mathematics #Percolation (cognitive psychology) #Percolation critical exponents #Percolation threshold #Physics #Quantum mechanics #Renormalization group #Scaling #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Universality (dynamical systems)

paper · doi:10.1007/bf02108785

crossref issued 1990/03/01 · crossref published 1990/03/01 · crossref published-print 1990/03/01 · openalex publication_date 1990/03/01 · crossref created 2005/09/13 · crossref deposited 2020/04/09 · openalex created_date 2025/10/10 · crossref indexed 2026/07/13 · openalex updated_date 2026/07/23

Citations

• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
• On the critical behavior of the magnetization in high-dimensional Ising models
• Infrared bounds, phase transitions and continuous symmetry breaking

Cited by

• The critical two-point function for long-range percolation on the hierarchical lattice
• Theory of minimum spanning trees. II. Exact graphical methods and perturbation expansion at the percolation threshold
• Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory
• Percolation theory [wikipedia]