Abstract
After reviewing some basic features of the temperature-governed phase-transitions in macroscopic systems and in atomic nuclei we consider non-thermal phase-transitions of nuclear structure in the example of cluster states. The vibron model, as the algebraic model of the relative motion, is considered from this aspect. The extension by the coupling to the internal degrees of freedom of the clusters is discussed. Phenomenological and semimicroscopical algebraic cluster models with identical interactions are applied to binary cluster systems of closed and non-closed shell clusters. A phase-diagram for the binary cluster systems is proposed, as well as its relation to that of the shell-model. The role of the quasi-dynamical symmetry, as a possible signature of the phase of a finite quantum system, is supported.
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