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Poisson's ratio of simple planar ‘isotropic’ solids in two dimensions
Author(s) -
Tretiakov Konstantin V.,
Wojciechowski Krzysztof W.
Publication year - 2007
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200572721
Subject(s) - isotropy , poisson distribution , aperiodic graph , poisson's ratio , planar , monte carlo method , constant (computer programming) , physics , statistical physics , materials science , mathematics , combinatorics , quantum mechanics , statistics , computer graphics (images) , computer science , programming language
Abstract The influence of molecular geometry on the Poisson's ratio has been investigated for a few two‐dimensional (2D) hard body systems (hard discs, hard dimers, hard cyclic trimers, and hard cyclic hexamers) forming elastically isotropic solid phases. The Poisson's ratio of the studied periodic and aperiodic solids was determined by Monte Carlo simulations using the analysis of the box fluctuations in the constant pressure ensemble ( NpT ) with variable box shape. The results obtained for all the studied systems showed that the Poisson's ratio grows when the density is decreased. It has been also found that the Poisson's ratio decreases with increasing number of discs in the molecule and its value for hard trimers is negative near close packing. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)