Exponential decay of spatial correlation in driven diffusive system: A universal feature of macroscopic homogeneous state

Hao, Qing-Yi; Jiang, Rui; Hu, Mao-Bin; Jia, Bin; Wang, Wen-Xu

doi:10.1038/srep19652

Cited by 9 publications

(7 citation statements)

References 45 publications

(45 reference statements)

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“…The reason for such behavior can be analyzed by calculating C(n) for repulsive and attractive interactions (see figure 7). It can be seen that eect of a particle's presence on one site to other site decreases exponentially as the distance between the sites increases [40]. However, for the repulsive interactions, the correlation dies out faster (i.e.…”

Section: (52)mentioning

confidence: 99%

Effect of interactions for one-dimensional asymmetric exclusion processes under periodic and bath-adapted coupling environment

Midha¹,

Kolomeisky²,

Gupta³

2018

J. Stat. Mech.

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Stimulated by the eect of the nearest neighbor interactions in vehicular trac and motor proteins, we study a 1D driven lattice gas model, in which the nearest neighbor particle interactions are taken in accordance with the thermodynamic concepts. The non-equilibrium steady-state properties of the system are analyzed under both open and periodic boundary conditions using a combination of cluster mean-field analysis and Monte Carlo simulations. Interestingly, the fundamental diagram of current versus density shows a complex behavior with a unimodal dependence for attractions and weak repulsions that turns into the bimodal behavior for stronger repulsive interactions. Specific details of system-reservoir coupling for the open system have a strong eect on the stationary phases. We produce the steady-state phase diagrams for the bulk-adapted coupling to the reservoir using the minimum and maximum current principles. The strength and nature of interaction energy has a striking influence on the number of stationary phases. We observe that interactions lead to correlations having a strong impact on the system dynamical properties. The correlation between any two sites decays exponentially as the distance between the sites increases. Moreover, they are found to be short-range for repulsions and long-range for attractions. Our results also suggest that repulsions and PAPER: Classical statistical mechanics, equilibrium and non-equilibrium

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Section: (52)mentioning

confidence: 99%

Effect of interactions for one-dimensional asymmetric exclusion processes under periodic and bath-adapted coupling environment

Midha¹,

Kolomeisky²,

Gupta³

2018

J. Stat. Mech.

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“…Besides the exclusion principle, particles in a channel can interact horizontally with its nearest neighbors via energy E associated to the bond connecting two neighboring particles. It can be said that the horizontal hopping in both channels takes place under a short-range interactive strength E or is driven by an external field E [25][26][27].…”

Section: A Modelmentioning

confidence: 99%

“…Since then, the process has been successfully applied to understand the collective properties of many particle systems such as traffic flow, protein synthesis, intracellular processes, gel electrophoresis, etc [18][19][20]. TASEP has also provided insights into the dynamic properties of interacting [21][22][23][24][25][26][27][28] as well as non-interacting motor proteins [13,29,30].…”

Section: Introductionmentioning

confidence: 99%

Role of Interactions and Correlations on Collective Dynamics of Molecular Motors Along Parallel Filaments

Midha

Gupta

2017

J Stat Phys

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Cytoskeletal motors known as motor proteins are molecules that drive cellular transport along several parallel cytoskeletal filaments and support many biological processes. Experimental evidence suggests that they interact with the nearest molecules of their filament while performing any mechanical work. To understand such mechanism theoretically, a new version of two-channel totally asymmetric simple exclusion process which incorporates interactions in a thermodynamically consistent way is introduced. As the existing approaches for multi-channel systems deviate from analyzing the combined effect of inter and intra-channel interactions, a new approach known as modified vertical cluster mean field is developed. The approach along with monte-carlo simulations successfully encounters some correlations and computes the complex dynamic properties of the system. Role of symmetry of interactions and inter-channel coupling is observed on the triple points and the particle maximal current. Surprisingly, for all values of coupling rate and most of the interaction splittings, the optimal interaction strength corresponding to maximal current belongs to the case of weak repulsive interactions. Moreover, for weak interaction splittings and with an increase in the coupling rate, the optimal interaction strength tends towards the known experimental results. Coupling in between the lanes decreases the correlations. They are found to be short-range and weaker for repulsive and weak attractive interactions, while long-range and stronger for large attractions.

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“…Researchers have applied TASEPs to traffic flows of self-driven particles, as in biological transport [4][5][6][7], vehicular traffic [8,9], and pedestrian flow [10][11][12]. Recently, one-lane TASEPs with varying hopping probabilities [13,14] and multi-lane TASEPs with interactions between lanes [15][16][17][18][19][20][21] have begun to be investigated. For example, in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…For example, in Refs. [13,14], the hopping probability of a particle varies depending on the states of the sites surrounding it, whereas in Refs. [16][17][18], the hopping rate of a particle varies depending on the state of the other lane.…”

Section: Introductionmentioning

confidence: 99%

Two-lane totally asymmetric simple exclusion process with extended Langmuir kinetics

Yamamoto,

Ichiki,

Yanagisawa

et al. 2021

Preprint

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Multi-lane totally asymmetric simple exclusion processes with interactions between the lanes have recently been investigated actively. This paper proposes a two-lane model with extended Langmuir kinetics on a periodic lattice. Both bidirectional and unidirectional flows are investigated. In our model, the hopping, attachment, and detachment rates vary depending on the state of the corresponding site in the other lane. We obtain a theoretical expression for the global density of the system in the steady state from three kinds of mean-field analyses (1-, 2-, and 4-cluster cases). We verify that the 4-cluster mean-field analysis approximates well the results of computer simulations for the two directional flows and reproduces the differences between them. We expect these findings to contribute to a deeper understanding of the dynamic features of actual traffic systems.

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Exponential decay of spatial correlation in driven diffusive system: A universal feature of macroscopic homogeneous state

Cited by 9 publications

References 45 publications

Effect of interactions for one-dimensional asymmetric exclusion processes under periodic and bath-adapted coupling environment

Effect of interactions for one-dimensional asymmetric exclusion processes under periodic and bath-adapted coupling environment

Role of Interactions and Correlations on Collective Dynamics of Molecular Motors Along Parallel Filaments

Two-lane totally asymmetric simple exclusion process with extended Langmuir kinetics

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