Exact Results for a Body-Centered Cubic Lattice Green's Function with Applications in Lattice Statistics. I

DOI10.1063/1.1665748zbMath0257.60038OpenAlexW1969452208MaRDI QIDQ5671968

G. S. Joyce

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1063/1.1665748

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (11)

Exact results for the anisotropic honeycomb lattice Green function with applications to three-step Pearson random walks ⋮ Variance of the range of a random walk ⋮ Two-particle bound states on a lattice ⋮ Fermion pairing in body-centered-cubic quantum simulators of extended Hubbard models ⋮ The ferromagnetic q-state Potts model on three-dimensional lattices: a study for real values of q ⋮ Lattice Green's function for the face centered cubic lattice ⋮ A Green’s function for a cubic lattice ⋮ A note on lattice random walks with an excluded point ⋮ On the evaluation of lattice Green functions and Watson-like integrals ⋮ Lattice dynamics, random walks, and nonintegral effective dimensionality ⋮ Random walks on lattices with randomly distributed traps. I: The average number of steps until trapping

Cites Work

• Hypergeometric functions
• Discrete potential theory
• Random Walks on Lattices. II
• Random Walks in Multidimensional Spaces, Especially on Periodic Lattices
• Statistical Mechanical Theory of Ferromagnetism. High Density Behavior
• Lattice Green's Function for the Body-Centered Cubic Lattice
• Analytic Continuations of Higher-Order Hypergeometric Functions
• Use of Green Functions in the Theory of Ferromagnetism. I. General Discussion of the Spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Case
• Green Function Theory of Ferromagnetism
• The Number of Distinct Sites Visited in a Random Walk on a Lattice
• Asymptotic Form of the Coefficients of Some Ising-Model Series
• THREE TRIPLE INTEGRALS
• The Spherical Model of a Ferromagnet
• On the asymptotic expansions of entire functions defined by Maclaurin series
• Molecular Field in the Spherical Model
• POISSON'S PARTIAL DIFFERENCE EQUATION

This page was built for publication: Exact Results for a Body-Centered Cubic Lattice Green's Function with Applications in Lattice Statistics. I