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Spirals and Phase Transitions

In: Algorithms, Fractals, and Dynamics

Author

Listed:
  • Yves Dupain

    (Université Bordeaux I, Départment de Matheḿatiques)

  • Michel Mendes France

    (Université Bordeaux I, Départment de Matheḿatiques)

  • Claud Tricot

    (Ecole Polytechnique, Départment de Matheḿatiques Appliqueés)

Abstract

By a stretch of imagination we shall identify spirals with systems of interacting particles. Mimicking the formalism of Statistical Mechanics we shall then discover that spirals go through a phase transition as the “temperature” increases. The inverse critical temperature coincides with the box dimension of the spiral. The article is a restatement of previous joint work [1].

Suggested Citation

  • Yves Dupain & Michel Mendes France & Claud Tricot, 1995. "Spirals and Phase Transitions," Springer Books, in: Y. Takahashi (ed.), Algorithms, Fractals, and Dynamics, pages 59-62, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-0321-3_4
    DOI: 10.1007/978-1-4613-0321-3_4
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