Solvable multi-species extensions of the drop-push model
Farinaz Roshani, Mohammad Khorrami
TL;DR
This paper introduces a solvable multispecies drop-push model on a one-dimensional lattice, analyzing its integrability via Bethe ansatz, and explores its long-term behavior and particle-type dynamics.
Contribution
It presents a new multispecies extension of the drop-push model that is solvable using Bethe ansatz, contingent on a specific matrix equation.
Findings
Model is solvable via Bethe ansatz under certain conditions
Analyzes large-time behavior of conditional probabilities
Studies dynamics of particle-type changes
Abstract
A family of multispecies drop-push system on a one-dimensional lattice is investigated. It is shown that this family is solvable in the sense of the Bethe ansatz, provided a nonspectral matrix equation is satisfied. The large-time behavior of the conditional probabilities, and the dynamics of the particle-type change are also investigated.
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