1955/02/01 by M. N. Rosenbluth, Arianna W. Rosenbluth · 3 citations
Physics and Astronomy · Engineering · Mathematics · #Advanced Chemical Physics Studies #Surface and Thin Film Phenomena #Molecular Junctions and Nanostructures #Monte Carlo method #Random walk #Extension (predicate logic) #Lattice (music) #Statistical physics #Square lattice #Mathematics #Chain (unit) #Self-avoiding walk #Dynamic Monte Carlo method #Combinatorics #Physics #Computer science #Statistics #Quantum mechanics
paper · pdf · doi:10.1063/1.1741967
openalex publication_date 1955/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
The behavior of chains of very many molecules is investigated by solving a restricted random walk problem on a cubic lattice in three dimensions and a square lattice in two dimensions. In the Monte Carlo calculation a large number of chains are generated at random, subject to the restrictions of no crossing or doubling back, to give the average extension of the chain 〈R2〉Av as a function of N, the number of links in the chain. A system of weights is used in order that all possible allowed chains are counted equally. Results for the true random walk problem without weights are obtained also.