Spirals and Phase Transitions

Yves Dupain, Michel Mendes France and Claud Tricot
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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

A chapter in Algorithms, Fractals, and Dynamics, 1995, pp 59-62 from Springer

Abstract: 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].

Keywords: Convex Hull; Statistical Mechanics; Fundamental State; Integral Geometry; Infinite Length (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0321-3_4

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DOI: 10.1007/978-1-4613-0321-3_4

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