Simple Algorithm for Factorized Dynamics of g_n-Automaton
Cellular Automata and Lattice Gases
2009-11-07 v1 Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We present an elementary algorithm for the dynamics of recently introduced soliton cellular automata associated with quantum affine algebra U_q(g_n) at q=0. For g_n = A^{(1)}_n, the rule reproduces the ball-moving algorithm in Takahashi-Satsuma's box-ball system. For non-exceptional g_n other than A^{(1)}_n, it is described as a motion of particles and anti-particles which undergo pair-annihilation and creation through a neutral bound state. The algorithm is formulated without using representation theory nor crystal basis theory.
Cite
@article{arxiv.nlin/0103022,
title = {Simple Algorithm for Factorized Dynamics of g_n-Automaton},
author = {Goro Hatayama and Atsuo Kuniba and Taichiro Takagi},
journal= {arXiv preprint arXiv:nlin/0103022},
year = {2009}
}
Comments
LaTex2e 9 pages, no figure. For proceedings of SIDE IV conference