Multipoint distribution of TASEP
Zhipeng Liu
Abstract
Recently Johansson and Rahman obtained the limiting multitime distribution for the discrete polynuclear growth model (Johansson and Rahman (2019)), which is equivalent to a discrete TASEP model with step initial condition. In this paper, we obtain a finite time multipoint distribution formula of continuous TASEP with general initial conditions in the space-time plane. We evaluate the limit of this distribution function when the times go to infinity at the same speed for both step and flat initial conditions. These limiting distributions are expected to be universal for all the models in the Kardar–Parisi–Zhang universality class.
Topics & Concepts
MathematicsLimitingLimit (mathematics)Universality (dynamical systems)Distribution (mathematics)Asymptotic distributionStatistical physicsMathematical analysisApplied mathematicsStatisticsPhysicsEstimatorEngineeringMechanical engineeringQuantum mechanicsRandom Matrices and ApplicationsStochastic processes and statistical mechanicsTheoretical and Computational Physics