| Various models in statistical physics can be reformulated in terms of fluctuating geometrical objects, such as clusters, lines and surfaces. Typically, these objects are scarce in one phase and abundant in the other. The phase transition which these models undergo is signaled by a proliferation of the geometrical objects, while their critical behavior is encoded in the fractal structure of these objects. Several examples of this purely geometrical approach to phase transitions are presented together with numerical results supporting the validity of this approach. |
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