Box-ball system with reflecting end
Exactly Solvable and Integrable Systems
2015-06-26 v1 Mathematical Physics
math.MP
Quantum Algebra
Cellular Automata and Lattice Gases
Abstract
A soliton cellular automaton on a one dimensional semi-infinite lattice with a reflecting end is presented. It extends a box-ball system on an infinite lattice associated with the crystal base of U_q(sl_n). A commuting family of time evolutions are obtained by adapting the K matrices and the double row construction of transfer matrices in solvable lattice models to a crystal setting. Factorized scattering among the left and the right moving solitons and the boundary reflection rule are determined.
Keywords
Cite
@article{arxiv.nlin/0411044,
title = {Box-ball system with reflecting end},
author = {Atsuo Kuniba and Masato Okado and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:nlin/0411044},
year = {2015}
}
Comments
32 pages, 12 figure