2008/07/22 by Mikael C. Rechtsman, Frank H. Stillinger, Salvatore Torquato · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Advanced Materials and Mechanics #Auxetics #Cellular and Composite Structures #Compression (physics) #Condensed matter physics #Elasticity (physics) #Geometry #Hexagonal lattice #Isotropy #Lattice (music) #Materials science #Mathematics #Physics #Poisson distribution #Poisson's ratio #Quantum mechanics #Statistical physics #Statistics #Supramolecular Self-Assembly in Materials #Symmetry (geometry) #Tension (geology) #Thermodynamics #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.101.085501
10 pages, 2 figures, accepted in Physical Review Letters
arxiv created 2008/07/22 · openalex publication_date 2008/08/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that under tension a classical many-body system with only isotropic pair interactions in a crystalline state can, counterintuitively, have a negative Poisson's ratio, or auxetic behavior. We derive the conditions under which the triangular lattice in two dimensions and lattices with cubic symmetry in three dimensions exhibit a negative Poisson's ratio. In the former case, the simple Lennard-Jones potential can give rise to auxetic behavior. In the latter case, a negative Poisson's ratio can be exhibited even when the material is constrained to be elastically isotropic.