Interacting elephant random walks
Chikashi Arita, Eric Ragoucy

TL;DR
This paper investigates a class of interacting elephant random walks, revealing a first-order phase transition and condensation phenomena through simulations and theoretical analysis, with the transition point influenced by initial conditions.
Contribution
It introduces a new interacting model that generalizes the exclusion process and demonstrates phase transition behavior with initial condition dependence.
Findings
Exhibits a first-order phase transition.
Displays condensation phenomena.
Transition point depends on initial configuration.
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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