Work

Quasi-Geodesics in Integrable and Non-Integrable Exclusion Processes

Year: 2025

Type: article

Abstract: Backwards geodesics for TASEP were introduced in [30]. We consider flat initial conditions and show that under proper scaling the end-point of the geodesic converges to maximizer argument of the $$\hbox {Airy}_2$$ Airy 2 process minus a parabola. We generalize its definition to generic non-integrable models including ASEP and speed changed ASEP (call it quasi-geodesics). We numerically verify that its end-point is universal, where the scaling coefficients are analytically computed through the KPZ scaling theory.

Source: Journal of Statistical Physics

DOI: 10.1007/s10955-025-03488-9

Authors: Patrik L. Ferrari, Min Liu

Institution: University of Bonn

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Deutsche Forschungsgemeinschaft