On the isothermal geometry of corrugated graphene sheets
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Publication:501181
zbMATH Open1330.82068arXiv1312.4711MaRDI QIDQ501181
Publication date: 9 October 2015
Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)
Abstract: Variational geometries describing corrugated graphene sheets are proposed. The isothermal thermomechanical properties of these sheets are described by a 2-dimensional Weyl space. The equation that couples the Weyl geometry with isothermal distributions of the temperature of graphene sheets, is formulated. This material space is observed in a 3-dimensional orthogonal configurational point space as regular surfaces which are endowed with a thermal state vector field fulfilling the isothermal thermal state equation. It enables to introduce a non-topological dimensionless thermal shape parameter of non-developable graphene sheets. The properties of the congruence of lines generated by the thermal state vector field are discussed.
Full work available at URL: https://arxiv.org/abs/1312.4711
Applications of differential geometry to physics (53Z05) Statistical thermodynamics (82B30) Statistical mechanics of nanostructures and nanoparticles (82D80)
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