Generalized n-dimensional field emission

被引:8
|
作者
Kim, Heetae [1 ]
Lee, Jong-Kwon [2 ]
Park, Chang-Soo [3 ]
机构
[1] Inst for Basic Sci Korea, Rare Isotope Sci Project, Daejeon 34000, South Korea
[2] Cheongju Univ, Div Energy & Opt Technol Convergence, Cheongju 28503, Chungcheongbuk, South Korea
[3] Kyung Hee Univ, Dept Appl Phys, Yongin 17104, South Korea
基金
新加坡国家研究基金会;
关键词
Field emission; n-dimension; Electron emission; Nanomaterials; ELECTRON-EMISSION;
D O I
10.1007/s40042-021-00211-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We report a theoretical investigation of field emission from metals in n-dimension. The field-emission current density is derived as a function of the electric field in one to three dimensions. Then, the generalized field-emission current density is calculated for arbitrary n dimensions, is shown as a function of electric field for different work functions of one-, two- and three-dimensional materials, and is expressed as a function of dimension for different work functions. These analyses reveal that the current density increases as the spatial dimension increases in the conductors and work function decreases. Our study on the generalized current density can be applied to material systems with high dimensions or fractional dimensions.
引用
收藏
页码:363 / 368
页数:6
相关论文
共 50 条
  • [1] Generalized n-dimensional field emission
    Heetae Kim
    Jong-Kwon Lee
    Chang-Soo Park
    Journal of the Korean Physical Society, 2021, 79 : 363 - 368
  • [2] SUBDIVISIONS OF N-DIMENSIONAL SPACES AND N-DIMENSIONAL GENERALIZED MAPS
    LIENHARDT, P
    PROCEEDINGS OF THE FIFTH ANNUAL SYMPOSIUM ON COMPUTATIONAL GEOMETRY, 1989, : 228 - 236
  • [3] Pyramids of n-dimensional generalized maps
    Grasset-Simon, C
    Damiand, G
    Lienhardt, P
    GRAPH-BASED REPRESENTATIONS IN PATTERN RECOGNITION, PROCEEDINGS, 2005, 3434 : 142 - 152
  • [4] Generalized n-dimensional biomechanical field analysis using statistical parametric mapping
    Pataky, Todd C.
    JOURNAL OF BIOMECHANICS, 2010, 43 (10) : 1976 - 1982
  • [5] GENERALIZED N-DIMENSIONAL HILBERT TRANSFORM AND APPLICATIONS
    CHAUDHRY, MA
    PANDEY, JN
    APPLICABLE ANALYSIS, 1985, 20 (3-4) : 221 - 235
  • [6] Removal and contraction for n-dimensional generalized maps
    Damiand, G
    Lienhardt, P
    DISCRETE GEOMETRY FOR COMPUTER IMAGERY, PROCEEDINGS, 2003, 2886 : 408 - 419
  • [7] Generalized n-Dimensional Rigid Registration: Theory and Applications
    Wu, Jin
    Wang, Miaomiao
    Fourati, Hassen
    Li, Hui
    Zhu, Yilong
    Zhang, Chengxi
    Jiang, Yi
    Hu, Xiangcheng
    Liu, Ming
    IEEE TRANSACTIONS ON CYBERNETICS, 2023, 53 (02) : 927 - 940
  • [8] Transfer function computation for generalized n-dimensional systems
    Antoniou, GE
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2001, 338 (01): : 83 - 90
  • [9] A Generalized Method for Computation of n-dimensional Radon Transforms
    Frysch, Robert
    Pfeiffer, Tim
    Rose, Georg
    MEDICAL IMAGING 2020: IMAGE PROCESSING, 2021, 11313
  • [10] On Generalized Stability of an n-Dimensional Quadratic Functional Equation
    Eungrasamee, T.
    Udomkavanich, P.
    Nakmahachalasint, P.
    THAI JOURNAL OF MATHEMATICS, 2010, 8 (04): : 43 - 50