Asymmetric exclusion process for modeling of information flow

Simulation study on characteristics of long-range interaction in randomly asymmetric exclusion process

“…Authors reported that the particle-hole symmetry is broken and no maximum-current phase is observed. [14] The TASEP with a shortcut in its bulk has also been studied by Yuan et al [16] We note that the shortcut, i.e., the position of long-range hopping, is fixed in Ref. [16].…”

“…Recently, the quasi-one-dimensional TASEP models considering long-range hopping have received much attention, such as in Refs. [12], [14], and [16]. The long-range hopping may be inspired by (i) a shortcut path in vehicular traffic, (ii) a quick end-to-end data package transformation inside a buffer in a router, and (iii) a plaything slingshot or catapult which is used to propel small stones in reality.…”

“…[12], long-range hopping means that particles may jump any distance l ≥ 1 with the probability l −(1+δ ) , while long-distance jump in Ref. [14] is predetermined and runs on a hierarchical network. Authors reported that the particle-hole symmetry is broken and no maximum-current phase is observed.…”

Phase transition in a mesoscopic ring with multiple diffusive channels

“…They have been highlighted in the research of non-equilibrium statistical mechanics [1][2][3][4][5][6][7][8][9][10]. Particularly, in the steady states, these systems exhibit non-vanishing current under periodic boundary conditions and boundary-induced phase transition under open boundary conditions, which have not been observed in the counterpart of equilibrium systems [11][12][13][14][15][16][17][18][19][20].…”

Spurious symmetry-broken phase in a bidirectional two-lane ASEP with narrow entrances

“…To understand the basic statistical properties of non-equilibrium systems, many paradigmatic models have been proposed. As one of the paradigmatic models of non-equilibrium systems, the asymmetric simple exclusion process (ASEP) has been widely used to study many physical, chemical, and biological systems, [1][2][3][4][5] such as biopolymerization, [6] gel electrophoresis, [7] the kinetics of synthesis of proteins, [8][9][10] biological transport, [11][12][13][14][15][16] polymer dynamics in dense media, [17] diffusion through membrane channels, [18] surface growth, [19,20] glassy dynamics, [21,22] traffic flow, [23][24][25][26] information flow, [27][28][29] and so on.…”