The buckling transition of 2D elastic honeycombs: Numerical simulation and Landau theory

Details The buckling transition of 2D elastic honeycombs: Numerical simulation and Landau theory The buckling transition of 2D elastic honeycombs: Numerical simulation and Landau theory

2003-10-15

arxiv.org/abs/cond-mat/0310329v2

Physics

Condensed Matter

Materials Science

6 pages, 5 figures

Scientific paper

10.1088/0953-8984/16/25/003

I study the buckling transition under compression of a two-dimensional, hexagonal, regular elastic honeycomb. Under isotropic compression, the system buckles to a configuration consisting of a unit cell containing four of the original hexagons. This buckling pattern preserves the sixfold rotational symmetry of the original lattice but is chiral, and can be described as a combination of three different elemental distortions in directions rotated 2pi/3 from each other. Non-isotropic compression may induce patterns consisting in a single elemental distortion or a superposition of two of them. The numerical results compare very well with the outcome of a Landau theory of second order phase transitions.

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