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Title: Effective conductivity of the rectangular and hexagonal tessellations in the plane

The effective conductivity of the two-dimensional periodic polygonal tessellations in the plane is determined using the perturbation theory and numerically. A diagram technique in perturbation theory for the effective conductivity of the tesselations in the plane is established using oblique coordinates. Calculations for the three color hexagonal tesselation have been carried out. A numerical method is developed for obtaining effective conductivity with high accuracy both when the perturbation theory is applicable and when the conductivities of the tessellation components are substantially different. For small differences between the conductivities of the components, the approach of the perturbation theory agrees with the numerical results.
Authors:
;  [1]
  1. Landau Institute for Theoretical Physics (Russian Federation)
Publication Date:
OSTI Identifier:
22472133
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 121; Journal Issue: 2; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COLOR; COORDINATES; DIAGRAMS; ELECTRIC CONDUCTIVITY; NUMERICAL ANALYSIS; PERIODICITY; PERTURBATION THEORY; TWO-DIMENSIONAL SYSTEMS