On the Green function for the anisotropic simple cubic lattice.

DOI10.1006/aphy.2001.6148zbMath1051.82011OpenAlexW1997727588MaRDI QIDQ5949900

R. T. Delves, G. S. Joyce

Publication date: 5 December 2001

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aphy.2001.6148

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Other functions coming from differential, difference and integral equations (33E30) Elliptic integrals as hypergeometric functions (33C75)

Related Items (9)

A fast multi-resolution lattice Green's function method for elliptic difference equations ⋮ Immersed Boundary Projection Methods ⋮ Multi-resolution lattice Green's function method for incompressible flows ⋮ Exact results for the anisotropic honeycomb lattice Green function with applications to three-step Pearson random walks ⋮ Helmholtz and Gibbs ensembles, thermodynamic limit and bistability in polymer lattice models ⋮ Two-particle bound states on a lattice ⋮ 70+ years of the Watson integrals ⋮ Accurate evaluation of the cubic lattice Green functions using binomial expansion theorems ⋮ ON THE ABSENCE OF PENTAQUARK STATES FROM DYNAMICS IN STRONGLY COUPLED LATTICE QCD

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lattice Green's function for the simple cubic and tetragonal lattices at arbitrary points
• Discrete potential theory
• Random Walks on Lattices. II
• Thermodynamic Behavior of an Ideal Ferromagnet
• Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind
• On the cubic lattice Green functions
• Solvability of Some Statistical Mechanical Systems
• A class of integrals associated with the Bethe ansatz
• On the cubic modular transformation and the cubic lattice Green functions
• Lattice Green's Function. Introduction
• Ferromagnetism and Spin Waves in the Band Theory
• Spin-Wave Impurity States in Ferromagnets
• Lattice Green's Functions for the Rectangular and the Square Lattices at Arbitrary Points
• Lattice Green's Function for the Simple Cubic Lattice in Terms of a Mellin-Barnes Type Integral
• On the simple cubic lattice Green function
• The Spherical Model of a Ferromagnet

This page was built for publication: On the Green function for the anisotropic simple cubic lattice.