TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.9.1.008
TI  - Multispecies totally asymmetric simple exclusion process with long-range swap
PY  - 2026/02/09
UR  - https://scipost.org/SciPostPhysCore.9.1.008
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 9
IS  - 1
SP  - 008
A1  - Lee, Eunghyun
AB  - We introduce the multispecies totally asymmetric simple exclusion process (mTASEP) with long-range swap, a new interacting particle system combining the backward-push rule with the forward-jump rule. Although governed by local dynamics, the model induces effective long-range particle exchanges. We establish its integrability by proving two-particle reducibility and showing that the associated scattering matrix satisfies the Yang-Baxter equation. In addition, we derive explicit contour integral formulas for transition probabilities. These results position the long-range swap model as a novel exactly solvable multispecies process, characterized by distinctive algebraic features and opening new directions for further study in integrable probability and statistical mechanics.
ER  -

@Article{10.21468/SciPostPhysCore.9.1.008,
	title={{Multispecies totally asymmetric simple exclusion process with long-range swap}},
	author={Eunghyun Lee},
	journal={SciPost Phys. Core},
	volume={9},
	pages={008},
	year={2026},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.9.1.008},
	url={https://scipost.org/10.21468/SciPostPhysCore.9.1.008},
}