Takahashi, Yoichiro (ed.), Algorithms, fractals, and dynamics. Proceedings of the Hayashibara Forum ’92: International symposium on new bases for engineering science, algorithms, dynamics, and fractals, Okayama, Japan, November 23-28, 1992 and a symposium on algorithms, fractals, and dynamics, November 30–December 2, 1992, Kyoto, Japan. New York, NY: Plenum Press. 59-62 (1995).
The authors restate results of a previous work [Bull. Soc. Math. Fr. 111, 193-201 (1983; Zbl 0529.10049
)] by identifying spirals with systems of interacting particles. After this translation of notions they discover a phase transition for spirals at the critical “temperature” that is exactly the inverse of the box dimension of the spiral.
|82B26||Phase transitions (general)|
|28A78||Hausdorff and packing measures|
|82B21||Continuum models (systems of particles, etc.)|