Open Access
2014 On the Isothermal Geometry of Corrugated Graphene Sheets
Andrzej Trzesowski
J. Geom. Symmetry Phys. 36: 1-45 (2014). DOI: 10.7546/jgsp-36-2014-1-45


Variational geometries describing corrugated graphene sheets are proposed. The isothermal thermomechanical properties of these sheets are described by a two-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 three-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.


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Andrzej Trzesowski. "On the Isothermal Geometry of Corrugated Graphene Sheets." J. Geom. Symmetry Phys. 36 1 - 45, 2014.


Published: 2014
First available in Project Euclid: 27 May 2017

zbMATH: 1330.82068
MathSciNet: MR3379440
Digital Object Identifier: 10.7546/jgsp-36-2014-1-45

Rights: Copyright © 2014 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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