CORRELATIONS IN TOPOLOGICAL MODELS OF 2D-RANDOM CELLULAR STRUCTURES - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Physics A: Mathematical and General (1975 - 2006) Année : 1993

CORRELATIONS IN TOPOLOGICAL MODELS OF 2D-RANDOM CELLULAR STRUCTURES

Gérard Le Caër
Renaud Delannay

Résumé

General relations and constraints which must be satisfied by the topological correlations in 2D space-filling random cellular structures are discussed and a topological short-range order coefficient is defined. Topological models of 2D structures are associated with planar tessellations with topologically unstable sites which belong to z > 3 polygons. The stable configurations, called states, are obtained by replacing every vertex by z - 3 added sides. The topological properties of the latter models are calculated exactly for a distribution of independent and equiprobable states on the various sites and for any value of z. The case of the structures associated with tilings by triangles is thoroughly considered. The calculated correlations are compared with the correlations in alumina cuts and in random Voronoi froths. The variability of the topological properties of 2D random cellular structures is discussed.
Fichier non déposé

Dates et versions

hal-01123935 , version 1 (05-03-2015)

Identifiants

  • HAL Id : hal-01123935 , version 1

Citer

Gérard Le Caër, Renaud Delannay. CORRELATIONS IN TOPOLOGICAL MODELS OF 2D-RANDOM CELLULAR STRUCTURES. Journal of Physics A: Mathematical and General (1975 - 2006), 1993, 26 (16), pp.3931-3954. ⟨hal-01123935⟩
120 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More