A six-vertex model as a diffusion problem: derivation of correlation functions
- 7 August 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (15) , L755-L762
- https://doi.org/10.1088/0305-4470/23/15/011
Abstract
A cellular automaton which describes diffusion of particles with exclusion in one dimension is shown to be equivalent to a six-vertex model on a critical line. The arrow-arrow correlation function of the six-vertex model is calculated exactly on this line using a transfer matrix method.Keywords
This publication has 10 references indexed in Scilit:
- Rigorous derivation of domain growth kinetics without conservation lawsJournal of Statistical Physics, 1990
- YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPSInternational Journal of Modern Physics A, 1989
- Dimensional reduction and correlation functions on 3D lattice modelsJournal of Physics A: General Physics, 1987
- Cellular automata and statistical mechanical modelsJournal of Statistical Physics, 1987
- Susceptibility of the checkerboard Ising modelJournal of Physics A: General Physics, 1985
- Equivalence of Cellular Automata to Ising Models and Directed PercolationPhysical Review Letters, 1984
- Diffusion in concentrated lattice gases. III. Tracer diffusion on a one-dimensional latticePhysical Review B, 1983
- Chemical diffusion in the lattice gas of non-interacting particlesPhysics Letters A, 1981
- THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODELRussian Mathematical Surveys, 1979
- Neutral non-strange mesons near 960 MeV produced in 5.5 GeV/c K−p interactionsPhysics Letters B, 1968