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Influence of boundary conditions on the ordering of elastic dipoles
Author(s) -
Schotte KlausDieter,
Topalis Panagiotis,
Schotte Ursula
Publication year - 1996
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.2065080305
Subject(s) - boundary value problem , dipole , cauchy distribution , boundary (topology) , anisotropy , ground state , mathematical analysis , physics , condensed matter physics , mathematics , optics , quantum mechanics
We consider elastic dipoles in several two‐dimensional geometries. Using Cauchy integral techniques and the image method, the state of elastic equilibrium under different boundary conditions can be determined. The results are used to find the ground state of systems of anisotropic dipoles via the simulated annealing method. Only in the case of fixed boundaries the ordering depends on the boundary condition.