Helicoid

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Chunhui Yang - One of the best experts on this subject based on the ideXlab platform.

  • graphene Helicoid distinct properties promote application of graphene related materials in thermal management
    Journal of Physical Chemistry C, 2018
    Co-Authors: Haifei Zhan, Gang Zhang, Chunhui Yang
    Abstract:

    The extremely high thermal conductivity of graphene has received great attention both in experiments and calculations. Obviously, new features in thermal properties are of primary importance for application of graphene-based materials in thermal management in nanoscale. Here, we studied the thermal conductivity of graphene Helicoid, a newly reported graphene-related nanostructure, using molecular dynamics simulation. Interestingly, in contrast to the converged cross-plane thermal conductivity in multilayer graphene, axial thermal conductivity of graphene Helicoid keeps increasing with thickness with a power law scaling relationship, which is a consequence of the divergent in-plane thermal conductivity of two-dimensional graphene. Moreover, the large overlap between adjacent layers in graphene Helicoid also promotes higher thermal conductivity than multilayer graphene. Furthermore, in the small strain regime (<10%), compressive strain can effectively increase the thermal conductivity of graphene Helicoid, ...

  • Graphene Helicoid: Distinct Properties Promote Application of Graphene Related Materials in Thermal Management
    The Journal of Physical Chemistry C, 2018
    Co-Authors: Haifei Zhan, Gang Zhang, Chunhui Yang
    Abstract:

    The extremely high thermal conductivity of graphene has received great attention both in experiments and calculations. Obviously, new features in thermal properties are of primary importance for application of graphene-based materials in thermal management in nanoscale. Here, we studied the thermal conductivity of graphene Helicoid, a newly reported graphene-related nanostructure, using molecular dynamics simulation. Interestingly, in contrast to the converged cross-plane thermal conductivity in multilayer graphene, axial thermal conductivity of graphene Helicoid keeps increasing with thickness with a power law scaling relationship, which is a consequence of the divergent in-plane thermal conductivity of two-dimensional graphene. Moreover, the large overlap between adjacent layers in graphene Helicoid also promotes higher thermal conductivity than multilayer graphene. Furthermore, in the small strain regime (

  • Graphene Helicoid: Distinct Properties Promote Application of Graphene Related Materials in Thermal Management
    2018
    Co-Authors: Haifei Zhan, Gang Zhang, Chunhui Yang
    Abstract:

    The extremely high thermal conductivity of graphene has received great attention both in experiments and calculations. Obviously, new features in thermal properties are of primary importance for application of graphene-based materials in thermal management in nanoscale. Here, we studied the thermal conductivity of graphene Helicoid, a newly reported graphene-related nanostructure, using molecular dynamics simulation. Interestingly, in contrast to the converged cross-plane thermal conductivity in multilayer graphene, axial thermal conductivity of graphene Helicoid keeps increasing with thickness with a power law scaling relationship, which is a consequence of the divergent in-plane thermal conductivity of two-dimensional graphene. Moreover, the large overlap between adjacent layers in graphene Helicoid also promotes higher thermal conductivity than multilayer graphene. Furthermore, in the small strain regime (

Haifei Zhan - One of the best experts on this subject based on the ideXlab platform.

  • graphene Helicoid distinct properties promote application of graphene related materials in thermal management
    Journal of Physical Chemistry C, 2018
    Co-Authors: Haifei Zhan, Gang Zhang, Chunhui Yang
    Abstract:

    The extremely high thermal conductivity of graphene has received great attention both in experiments and calculations. Obviously, new features in thermal properties are of primary importance for application of graphene-based materials in thermal management in nanoscale. Here, we studied the thermal conductivity of graphene Helicoid, a newly reported graphene-related nanostructure, using molecular dynamics simulation. Interestingly, in contrast to the converged cross-plane thermal conductivity in multilayer graphene, axial thermal conductivity of graphene Helicoid keeps increasing with thickness with a power law scaling relationship, which is a consequence of the divergent in-plane thermal conductivity of two-dimensional graphene. Moreover, the large overlap between adjacent layers in graphene Helicoid also promotes higher thermal conductivity than multilayer graphene. Furthermore, in the small strain regime (<10%), compressive strain can effectively increase the thermal conductivity of graphene Helicoid, ...

  • Graphene Helicoid: Distinct Properties Promote Application of Graphene Related Materials in Thermal Management
    The Journal of Physical Chemistry C, 2018
    Co-Authors: Haifei Zhan, Gang Zhang, Chunhui Yang
    Abstract:

    The extremely high thermal conductivity of graphene has received great attention both in experiments and calculations. Obviously, new features in thermal properties are of primary importance for application of graphene-based materials in thermal management in nanoscale. Here, we studied the thermal conductivity of graphene Helicoid, a newly reported graphene-related nanostructure, using molecular dynamics simulation. Interestingly, in contrast to the converged cross-plane thermal conductivity in multilayer graphene, axial thermal conductivity of graphene Helicoid keeps increasing with thickness with a power law scaling relationship, which is a consequence of the divergent in-plane thermal conductivity of two-dimensional graphene. Moreover, the large overlap between adjacent layers in graphene Helicoid also promotes higher thermal conductivity than multilayer graphene. Furthermore, in the small strain regime (

  • Graphene Helicoid: Distinct Properties Promote Application of Graphene Related Materials in Thermal Management
    2018
    Co-Authors: Haifei Zhan, Gang Zhang, Chunhui Yang
    Abstract:

    The extremely high thermal conductivity of graphene has received great attention both in experiments and calculations. Obviously, new features in thermal properties are of primary importance for application of graphene-based materials in thermal management in nanoscale. Here, we studied the thermal conductivity of graphene Helicoid, a newly reported graphene-related nanostructure, using molecular dynamics simulation. Interestingly, in contrast to the converged cross-plane thermal conductivity in multilayer graphene, axial thermal conductivity of graphene Helicoid keeps increasing with thickness with a power law scaling relationship, which is a consequence of the divergent in-plane thermal conductivity of two-dimensional graphene. Moreover, the large overlap between adjacent layers in graphene Helicoid also promotes higher thermal conductivity than multilayer graphene. Furthermore, in the small strain regime (

David Hoffman - One of the best experts on this subject based on the ideXlab platform.

  • An embedded genus-one Helicoid
    Annals of Mathematics, 2009
    Co-Authors: Matthias Weber, David Hoffman, Michael Wolf
    Abstract:

    There exists a properly embedded minimal surface of genus one with one end. The end is asymptotic to the end of the Helicoid. This genus one Helicoid is constructed as the limit of a continuous one-parameter family of screw-motion invariant minimal surfaces―also asymptotic to the Helicoid―that have genus equal to one in the quotient.

  • The geometry of genus-one Helicoids
    Commentarii Mathematici Helvetici, 2009
    Co-Authors: David Hoffman, Brian White
    Abstract:

    We prove: a properly embedded, genus-one, minimal surface that is asymptotic to a Helicoid and that contains two straight lines must intersect that Helicoid precisely in those two lines. In particular, the two lines divide the surface into two connected components that lie on either side of the Helicoid. We prove an analogous result for periodic Helicoid-like surfaces. We also give a simple condition guaranteeing that an immersed minimal surface with finite genus and bounded curvature is asymptotic to a Helicoid at infinity.

  • Genus-One Helicoids from a Variational Point of View
    arXiv: Differential Geometry, 2006
    Co-Authors: David Hoffman, Brian White
    Abstract:

    We prove by variational means the existence of a complete, properly embedded, genus-one minimal surface in R^3 that is asymptotic to a Helicoid at infinity. We also prove existence of surfaces that are asymptotic to a Helicoid away from the Helicoid's axis, but that have infinitely many handles arranged periodically along the axis. Finally, we prove some new properties of such Helicoid-like surfaces.

  • An embedded genus-one Helicoid
    Proceedings of the National Academy of Sciences of the United States of America, 2005
    Co-Authors: Matthias Weber, David Hoffman, Michael Wolf
    Abstract:

    There exists a properly embedded minimal surface of genus one with a single end asymptotic to the end of the Helicoid. This genus-one Helicoid is constructed as the limit of a continuous one-parameter family of screw-motion invariant minimal surfaces, also asymptotic to the Helicoid, that have genus equal to one in the quotient.

  • Deforming the singly periodic genus-one Helicoid
    Experimental Mathematics, 2002
    Co-Authors: David Hoffman, Fusheng Wei
    Abstract:

    The Weierstrass data are derived-from geometric assumptions-for a family of screw-motion-invariant minimal surfaces asymptotic to the Helicoid. The period problem for these data is solved numerically and the the surfaces are approximated using adaptive mesh methods. These simulations give strong evidence that the family exists, is continuous, consists of embedded surfaces, and limits to the genus-one Helicoid.

Michael Wolf - One of the best experts on this subject based on the ideXlab platform.

Matthias Weber - One of the best experts on this subject based on the ideXlab platform.