THERMODYNAMIC PROPERTIES OF A ONE-DIMENSIONAL SYSTEM OF CHARGED BOSONS

A large but finite one-dimensional neutral system containing two types of locally (and weakly) interacting ''charged'' bosons is examined fo r its thermodynamic behavior at finite temperatures. It is found that the system can have a length L0 at which it will achieve thermodynamic stability provided the temperature is below a finite temperature T(d) . If the temperature T(d) is exceeded, the system disassociates in the sense that it no longer has a stable size. T(d) is a function of the interaction strengths between the bosons as well as the number of boso ns N present in the system. Although the system has an a priori depend ence on a set of five parameters, when N and L are large scaling is pr esent. Interestingly, if one of the interaction parameters is zero, ma king the interactions ''Coulomb-like,'' the system will collapse if pe riodic boundary conditions are used. The introduction of Dirichlet bou ndary conditions does not prevent this collapse for large N and L but will do so otherwise. Moreover, without the collapse, the effect of N on the stability length is strikingly different from the nonzero param eter case, where periodic boundary conditions are used. This effect ha s been noted before in the ground-state energy, but now it is shown th at the effect persists for finite temperatures.