ISING-MODEL ON TANGLED CHAIN .2. MAGNETIZATION AND SUSCEPTIBILITY

In the preceding paper we have considered an Ising model defined on ta ngled chain to study the behaviour of the free energy and entropy, par ticularly in the zero-field and zero-temperature limit. In this paper, following the main line and basing on some results of the previous wo rk, we shall study in the 'language' of state configurations the behav iour of the magnetization and the susceptibility for different conditi ons of the model, to understand better the competition between the fer romagnetic bonds along the chain and the antiferromagnetic additional bonds across the chain. Particularly interesting is the behaviour of t he susceptibility in the zero-field and zero-temperature limit. Exact solutions for the magnetization and susceptibility, generated by analy tical calculations and iterative algorithms, are described. The additi onal bonds, introduced as a form of perfect disorder, indicate a parti cular effect on the spin correlation. We found that the condition J = -J' between the ferromagnetic interaction J along the chain and the an tiferromagnetic interaction J' across the chain is somewhat as a ''tra nsition-region'' condition for this behaviour.