From random to self-avoiding walks

摘要: A brief review will be given of the current situation in theory self-avoiding walks (SAWs). The Domb-Joyce model first introduced 1972 consists a random walk on lattice which eachN step configuration has weighting factor Π i=0 N−2 Πj=i+2/N(1−ωδij). Herei andj are sites occupied by ith and jth points walk. When ω=0 reduces to standard walk, when ω=1 it is universality hypothesis critical phenomena used conjecture behavior as function ofω for largeN. implications dilute polymer solutions indicated.