Smooth or shock: Universality in closed inhomogeneous driven single file motions

Banerjee, Tirthankar; Basu, Abhik

doi:10.1103/physrevresearch.2.013025

Cited by 23 publications

(55 citation statements)

References 39 publications

(53 reference statements)

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“…These results complement the recent studies on number conserving TASEP with quenched but nonrandom hopping rates [38][39][40], where two generic types of steady states were found, that revealed the existence of a type of universality. Similarly, in the present study too, the scaling of the density fluctuations are very sensitive to whether the system is away or close to half-filling.…”

Section: Discussionsupporting

confidence: 89%

Marching on a rugged landscape: Universality in disordered asymmetric exclusion processes

Haldar

Basu

2020

Phys. Rev. Research

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We develop the hydrodynamic theory for number conserving asymmetric exclusion processes with short-range random quenched disordered hopping rates, which is a one-dimensional Kardar-Parisi-Zhang (KPZ) equation with quenched columnar disorder. We show that when the system is away from half-filling, the universal spatiotemporal scaling of the density fluctuations is indistinguishable from its pure counterpart, with the model belonging to the one-dimensional Kardar-Parisi-Zhang universality class. In contrast, close to half-filling, the quenched disorder is relevant, leading to a new universality class. We physically argue that the irrelevance of the quenched disorder when away from half-filling is a consequence of the averaging of the disorder by the propagating density fluctuations in the system. In contrast, close to half-filling the density fluctuations are overdamped, and as a result, are strongly influenced by the quenched disorder.

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Section: Discussionsupporting

confidence: 89%

Marching on a rugged landscape: Universality in disordered asymmetric exclusion processes

Haldar

Basu

2020

Phys. Rev. Research

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“…In between these two phases, when the average density is around 0.5, the current reaches its maximum possible value for the chosen boundary rates. Note that non-monotonic density profiles for ordinary TASEP with particle conservation was observed recently in [18] for spatially varying but quenched defects. The variation of the mean entropy production rate Σ with r,and the dependence of j on E for different values of r, are shown in Fig.…”

Section: Rocking Asepsupporting

confidence: 53%

Active gating: rocking diffusion channels

Banerjee

Maes

2020

J. Phys. A: Math. Theor.

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When the contacts of an open system with its environment flip between reservoirs, the resulting nonequilibrium shows increased dynamical activity. We investigate such active gating for one-dimensional symmetric and asymmetric exclusion models where the left/right boundary rates for entrance and exit of particles are exchanged at random times. Such rocking makes the particle models more spatially symmetric and on average there is no boundary driving; yet the entropy production increases in the rocking rate. We study the resulting density profile and current as function of the rocking rate. In the asymmetric case a non-monotone density profile may be obtained with particles clustering at the edges. In the totally asymmetric case, there is a bulk transition to a maximum current phase as the rocking exceeds a finite threshold, depending on the boundary rates.

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“…We show that the notion of universality illustrated in Ref. [6] can be extended to systems with open boundaries as well, establishing the robustness of the concept of universality here. The rest of the article is organised as follows.…”

Section: Introductionsupporting

confidence: 58%

“…[5] for some studies on different aspects of heterogeneous TASEP. Recently, the steady states of TASEPs with periodic boundary conditions are affected by smoothly varying hopping rates are studied [6]; see also Ref. [7] for a study on periodic TASEP with random quenched disordered hopping rates.…”

Section: Introductionmentioning

confidence: 99%

Steady states of asymmetric exclusion processes with inhomogeneous hopping

Atri¹,

Chatterjee²,

Mukherjee³

2021

Preprint

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We study the nonequilibrium steady states in asymmetric exclusion processes (TASEP) with open boundary conditions having spatially inhomogeneous hopping rates. Assuming spatially smoothly varying hopping rates with a few (or no) discontinuities, we show that the steady states are in general classified by the steady state currents in direct analogy with open TASEPs having uniform hopping rates. We calculate the steady state density profiles, which are now space-dependent. We also obtain the phase diagrams in the plane of the control parameters, which though have phase boundaries that are in general curved lines, have the same topology as their counterparts for conventional open TASEPs, independent of the form of the hopping rate functions. This reveals a type of universality, not encountered in critical phenomena.

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Smooth or shock: Universality in closed inhomogeneous driven single file motions

Cited by 23 publications

References 39 publications

Marching on a rugged landscape: Universality in disordered asymmetric exclusion processes

Marching on a rugged landscape: Universality in disordered asymmetric exclusion processes

Active gating: rocking diffusion channels

Steady states of asymmetric exclusion processes with inhomogeneous hopping

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