Finite-size scaling analysis on the phase transition of a ferromagnetic polymer chain model

摘要

The finite-size scaling analysis method is applied to study the phase transition of a self-avoiding walking polymer chain with spatial nearest-neighbor ferromagnetic Ising interaction on the simple cubic lattice.Assuming the scaling M~2(T,n)=n~(2beta/v)[PHI_0+PHI_1n~(1/v)+(T-T_c) + O(n~(2/v)(T-T_c)~2)] with the square magnetization M~2 as the order parameter and the chain length n as the size,we estimate the second-order phase-transition temperature T_c=1.784 J/k_B and critical exponents 2beta/v approx= 0.668 and v approx= 1.0.The self-diffusion constant and the chain dimensions (R~2) and (S~2) do not obey such a scaling law.