Zobrazeno 1 - 10
of 9 719
pro vyhledávání: '"exclusion processes"'
Autor:
Hegde, Milind, Yang, Zongrui
We consider the stationary measure of the asymmetric simple exclusion process (ASEP) on a finite interval in $\mathbb{Z}$ with open boundaries. Fixing all the jump rates and letting the system size approach infinity, the height profile of such a sequ
Externí odkaz:
http://arxiv.org/abs/2412.12026
Autor:
Ferrari, Patrik L., Liu, Min
Backwards geodesics for TASEP were introduced in [Fer18]. We consider flat initial conditions and show that under proper scaling its end-point converges to maximizer argument of the Airy$_2$ process minus a parabola. We generalize its definition to g
Externí odkaz:
http://arxiv.org/abs/2412.11626
We consider a one-dimensional exclusion dynamics in mild contact with boundary reservoirs. In the diffusive scale, the particles' density evolves as the solution of the heat equation with non-linear Robin boundary conditions. For appropriate choices
Externí odkaz:
http://arxiv.org/abs/2411.17653
A traffic model on an open one-dimensional lattice is considered. At any discrete time moment, with prescribed probability, a particle arrives to the leftmost cell of the lattice, and, with prescribed probability, the arriving particle belongs to one
Externí odkaz:
http://arxiv.org/abs/2411.12419
We address how the interplay between the finite availability and carrying capacity of particles at different parts of a spatially extended system can control the steady state currents and density profiles in the one-dimensional current-carrying lanes
Externí odkaz:
http://arxiv.org/abs/2408.01364
Autor:
Bryc, Wlodek
We investigate the asymmetric simple exclusion process (ASEP) on an interval with open boundaries. We provide a representation for its stationary distribution as a marginal of the top layer of a two-layer ensemble under Liggett's condition. The repre
Externí odkaz:
http://arxiv.org/abs/2408.06535
We characterize limit fluctuations of height functions of the totally asymmetric simple exclusion processes with open boundaries at the co-existence line under the stationary measures. The limit behavior of the height functions at the co-existence li
Externí odkaz:
http://arxiv.org/abs/2407.20835
Autor:
Wang, Yizao, Yang, Zongrui
We continue the investigation of limit fluctuations of stationary measures of the asymmetric simple exclusion processes with open boundaries (open ASEP), complementing the recent result by Bryc et al. (2023). It was shown therein that in the fan regi
Externí odkaz:
http://arxiv.org/abs/2406.09252
Autor:
Defant, Colin
We introduce and study several random combinatorial billiard trajectories. Such a system, which depends on a fixed parameter $p\in(0,1)$, models a beam of light that travels in a Euclidean space, occasionally randomly reflecting off of a hyperplane i
Externí odkaz:
http://arxiv.org/abs/2406.07858
Autor:
Watanabe, Masataka
Publikováno v:
SciPost Phys. 17, 092 (2024)
We derive the formula for the stationary states of particle-number conserving exclusion processes infinitesimally perturbed by inhomogeneous adsorption and desorption. The formula not only proves but also generalises the conjecture proposed in arXiv:
Externí odkaz:
http://arxiv.org/abs/2406.02675