Series Expansion Method for Asymmetrical Percolation Models with Two Connection Probabilities : General Physics
スポンサーリンク
概要
- 論文の詳細を見る
In order to study the solvability of the percolation model based on Guttmann and Enting's conjecture, the power series for the percolation probability in the form of Σ_n H_n(q)p^n is examined. Although the power series is given by calculating inverse of the transfer-matrix in principle, it is very hard to obtain the inverse matrix containing many complex polynomials as elements. We introduce a new series expansion technique which does not necessitate inverse operation for the transfer-matrix. By using the new procedure, we derive the series of the asymmetrical percolation probability including the isotropic percolation probability as a special case.
- 社団法人日本物理学会の論文
- 2000-01-15
著者
-
INUI Norio
Department of Mechanical and Inteligent Engineering,Himeji Institute of Technology
-
KOMATSU Genichi
Department of Mechanical and Inteligent Engineering,Himeji Institute of Technology
-
KAMEOKA Koichi
Department of Mechanical and Inteligent Engineering,Himeji Institute of Technology
-
Inui N
Himeji Inst. Of Technol. Hyogo
-
Inui Norio
Graduate School Of Engineering Himeji Institute Of Technology
-
Kameoka K
Department Of Mechanical And Intelligent Engineering Himeji Institute Of Technology
-
Komatsu Genichi
Department Of Mechanical And Intelligent Engineering Himeji Institute Of Technology
-
Inui Norio
Department of Mechanical and Inteligent Engineering, Himiji Institute of Technology
関連論文
- Studies on Turbulent Combustion in a Closed Vessel
- Effect of Successive Observation on Quantum Cellular Automaton(General)
- Local Directed Percolation Probability in Two Dimensions
- The Number of Directed Compact Site Animals and Extrapolation Formula of Directed Percolation Probability
- Low-Density Series Expansion for the Domany-Kinzel Model : General Physics
- Casimir Force between a Metallic Sphere and a Semiconductive Plate Illuminated with Gaussian Beam(General)
- Series Expansion Method for Asymmetrical Percolation Models with Two Connection Probabilities : General Physics
- Pair-Correlation Function of Random Diode-Insulation Network
- Casimir Energy of the Massless Scalar Field Confined in an Equilateral Triangular Domain(General)
- Numerical Regularization Procedures for Estimating the Casimir Energy of a Massless Scalar Field in a Square
- A Generalized Mode Summation Formula of the Zero-Point Energy in a Cavity
- The Behavior of Departing Drops on a Horizontal Tube under Dropwise Condensation
- Series Expansion for a Nonequilibrium Lattice Model with Parity Conservation
- A Generalized Mode Summation Formula of the Zero-Point Energy in a Cavity (General)
- Numerical Study of Enhancement of the Casimir Force between Silicon Membranes by Irradiation with UV Laser (General)
- The Casimir Force for a Perfectly Conducting Rectangular Parallelepiped at Finite Temperature
- The Casimir Energy of a Medium Containing a Permittivity Gradient
- Temperature Dependence of the Casimir Force between Silicon Slabs
- Electric Polarization Resulting from the Casimir Effect(General)
- Repulsive Casimir Force in Liquid
- Fermi Partition Functions of Friendly Walkers and Pair Connectedness of Directed Percolation : General Physics
- Asymptotic Behavior of the Casimir Force between Arrays of Planar Scatterers in the Large Separation Regime
- Casimir Energy of the Evanescent Field between Inhomogeneous Dielectric Slabs(General)
- Charge Density Dependence of Photoinduced Stress in Semiconductors
- Dependence of the Casimir Energy on the Thickness of the Dielectric Layer between Perfectly Conductive Dielectric-Coated Plates
- Diffusion Constant of a Gold Particle Levitated by a Repulsive Casimir Force near a Silica Plate Immersed in Bromobenzene