Interacting elephant random walks
Statistical Mechanics
2018-11-21 v1 Cellular Automata and Lattice Gases
Abstract
The elephant random walk is a history-dependent random walk. We study a class of interacting elephant random walks. Our model includes the exclusion process as a special case. By means of Monte Carlo simulations and mean-field arguments, we find that it exhibits a condensation phenomenon with a phase transition that is manifestly of first order. The transition point depends on the initial configuration.
Cite
@article{arxiv.1808.04477,
title = {Interacting elephant random walks},
author = {Chikashi Arita and Eric Ragoucy},
journal= {arXiv preprint arXiv:1808.04477},
year = {2018}
}
Comments
10 pages, 6 figures