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(-2 betau)[Phi(0)+Phi(1)n(1u)(T-T-c)+O(n(2u)(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=1.784J/k(B) and critical exponents 2 betau approximate to 0.668 and nu approximate to 1.0. The self-diffusion constant and the chain dimensions < R-2> and < S-2> do not obey such a scaling law. (c) 2006 American Institute of Physics.