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arXiv · 1808.04477

Interacting elephant random walks

Chikashi Arita·Eric Ragoucy
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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.

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Chikashi Arita, Eric Ragoucy. 2018-08-13. Interacting elephant random walks. https://doi.org/10.1103/physreve.98.052118

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