Resistance calculation of three-dimensional triangular and hexagonal prism lattices

被引：31
作者：
Owaidat, M. Q. [1 ]
Asad, J. H. [2 ]
机构：
[1] Al Hussein Bin Talal Univ, Dept Phys, POB 20, Maan 71111, Jordan
[2] Palestine Tech Univ, Dept Phys, Fac Arts & Sci, POB 7, Kadoorie, Tulkarm, Palestine
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2016年 / 131卷 / 09期
关键词：
CENTERED-CUBIC NETWORK; IDENTICAL RESISTORS; GREENS-FUNCTION; 2-POINT RESISTANCE; INFINITE NETWORKS; PERTURBATION; CAPACITORS;
D O I：
10.1140/epjp/i2016-16309-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The resistance between two arbitrary lattice sites in infinite three-dimensional triangular and hexagonal prism lattice networks of equal resistances, that have not been studied before, is computed by using lattice Green's function technique. For large separation between lattice points we numerically calculate the asymptotic value of the resistance for these lattices.
引用
收藏
页数：9
相关论文
共 38 条
  • [1] [Anonymous], 2011, Resistance network model
  • [2] Perturbed Infinite 3D Simple Cubic Network of Identical Capacitors
    Asad, J. H.
    Diab, A. A.
    Owaidat, M. Q.
    Khalifeh, J. M.
    [J]. ACTA PHYSICA POLONICA A, 2014, 126 (03) : 777 - 781
  • [3] Infinite face-centered-cubic network of identical resistors: Application to lattice Green's function
    Asad, J. H.
    Diab, A. A.
    Hijjawi, R. S.
    Khalifeh, J. M.
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2013, 128 (01): : 1 - 5
  • [4] Infinite network of identical capacitors by Green's function
    Asad, JH
    Hijjawi, RS
    Sakaji, AJ
    Khalifeh, JM
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2005, 19 (24): : 3713 - 3721
  • [5] Remarks on perturbation of infinite networks of identical resistors
    Asad, JH
    Hijjawi, R
    Sakaj, A
    Khalifeh, JM
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2005, 44 (04) : 471 - 483
  • [6] Infinite Body Centered Cubic Network of Identical Resistors
    Asad, Jihad H.
    Diab, A. A.
    Owaidat, M. Q.
    Hijjawi, R. S.
    Khalifeh, J. M.
    [J]. ACTA PHYSICA POLONICA A, 2014, 125 (01) : 60 - 64
  • [7] Infinite resistive lattices
    Atkinson, D
    van Steenwijk, FJ
    [J]. AMERICAN JOURNAL OF PHYSICS, 1999, 67 (06) : 486 - 492
  • [8] NON-SYMMETRIC FINITE NETWORKS: THE TWO-POINT RESISTANCE
    Cernanova, Viera
    Brenkus, Juraj
    Stopjakova, Viera
    [J]. JOURNAL OF ELECTRICAL ENGINEERING-ELEKTROTECHNICKY CASOPIS, 2014, 65 (05): : 283 - 288
  • [9] Application of the lattice Green's function for calculating the resistance of an infinite network of resistors
    Cserti, J
    [J]. AMERICAN JOURNAL OF PHYSICS, 2000, 68 (10) : 896 - 906
  • [10] Perturbation of infinite networks of resistors
    Cserti, J
    Dávid, G
    Piróth, A
    [J]. AMERICAN JOURNAL OF PHYSICS, 2002, 70 (02) : 153 - 159
1234