Induced long-time correlations in a two-component lattice gas

Kliushnychenko, O. V.; Lukyanets, S. P.

doi:10.1140/epjst/e2013-01735-1

Cited by 6 publications

(8 citation statements)

References 22 publications

(39 reference statements)

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“…Even such a short-range interaction results in a number of unexpected kinetic effects, e.g., the "back correlations" effect [36], drifting spatial structures [37][38][39], effects of "negative" mass transport [40][41][42], induced long-time correlations [43], and the dissipative pairing effect for tracers passing through a lattice gas [44]. Increasing of gas concentration (bath fraction) leads to enhancement of the role of interaction between gas particles.…”

Section: Introductionmentioning

confidence: 99%

Effects of gas interparticle interaction on dissipative wake-mediated forces

Kliushnychenko

Lukyanets

2017

Phys. Rev. E

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The effect of concentration-dependent switching of the non-equilibrium depletion interaction between obstacles in a gas flow of interacting Brownian particles is presented. When increasing bath fraction exceeds half-filling, the wake-mediated interaction between obstacles switches from effective attraction to repulsion or vice-versa, depending on the mutual alignment of obstacles with respect to the gas flow. It is shown that for an ensemble of small and widely separated obstacles the dissipative interaction takes the form of induced dipole-dipole interaction governed by an anisotropic screened Coulomb-like potential. This allows one to give a qualitative picture of the interaction between obstacles and explain switching effect as a result of changes of anisotropy direction. The non-linear blockade effect is shown to be essential near closely located obstacles, that manifests itself in additional screening of the gas flow and generation of a pronounced step-like profile of gas density distribution. It is established that behavior of the magnitude of dissipative effective interaction is, generally, non-monotonic in relation to both the bath fraction and the external driving field. It has characteristic peaks corresponding to the situation when the common density "coat" formed around the obstacles is most pronounced. The possibility of the dissipative pairing effect is briefly discussed. All the results are obtained within the classical lattice-gas model.

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Section: Introductionmentioning

confidence: 99%

Effects of gas interparticle interaction on dissipative wake-mediated forces

Kliushnychenko

Lukyanets

2017

Phys. Rev. E

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“…In the latter case, it was shown that a large enough BI generates a stress sufficient to produce defects, which remain localized near the BI and affect the frictional drag force. The microstructural changes of the medium not only enhance the drag force exerted on the BI, but also induce effective interactions between the BIs, when more than one BI is present [7]- [11].…”

Section: Introductionmentioning

confidence: 99%

A biased intruder in a dense quiescent medium: looking beyond the force–velocity relation

Bénichou¹,

Illien²,

Mejía‐Monasterio³

et al. 2013

J. Stat. Mech.

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I will survey our recent results obtained in collaboration with O. Bénichou and G. Oshanin on dynamics of a biased particle (biased intruder, BI) in a very dense molecular crowding environment modelled as a lattice gas of unbiased, randomly moving hard-core particles. Going beyond the usual analysis of the force-velocity relation (FVR), we will focus on the behaviour of the higher moments of the BI vector displacement R n at time n (the FVR is just the first moment). We will prove that in infinite two-dimensional systems the probability distribution P (R n) converges to a Gaussian as n → ∞, despite the fact that the BI drives the system into a non-equilibrium steady state with a non-homogeneous spatial distribution of the lattice gas particles. We will show that in two-dimensions P (R n) broadens along the direction of the bias (weakly) super-diffusively: here the interplay between the bias, vacancy-controlled transport and the back-flow effects of the medium on the BI entails an accelerated growth of the variance, σ 2 x ∼ α 1 n ln(n). In the perpendicular to the bias direction the variance σ 2 y ∼ α 2 n. We determine α 1 and α 2 exactly for arbitrary bias, in the lowest order in the density of vacancies. Note that for small pulling forces F the coefficient α 1 ∼ F 2 which signifies that such a behaviour emerges beyond the linear-response approximation. Further on, capitalising on our exact results, we will present analytical arguments showing that such an anomalous, field-induced broadening of fluctuations is dramatically enhanced in confined, quasi-1D geometries-infinite 2D stripes and 3D capillaries, which have applications in micro-fluidics. We predict that for such confined, dense molecular crowding environments the variance follows a strongly super-diffusive behaviour σ 2 x ∼ n 3/2. Monte Carlo simulations confirm our analytical results.

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“…( 2) is a reduced nonlinear mixing flow which describes mutual drag of one component by another and arises as a result of the particle distinguishability and the local repulsion (due to excluded volume constraint) in a lattice gas [18]. This flow leads to the array of anomalous diffusive transport effects, e.g., the drag effect, formation of the drifting spatial structures [15][16][17], effects of "negative" mass transport [18][19][20], and induced long-time correlations [28].…”

Section: Trace Inversion In the Lattice Gas Modelmentioning

confidence: 99%

Switching of non-equilibrium depletion force caused by blockade effect

Lukyanets¹,

Kliushnychenko²

2015

Preprint

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The concentration-dependent switching of the non-equilibrium depletion forces between obstacles in an interacting Brownian gas flow is presented. It is shown that this switching is caused by the blockade effect for the gas particles. With increasing equilibrium gas concentration, the gas particles blockade causes the obstacle wake inversion (trace profile "turn-over") that, in turn, leads to the change of sign of dissipative interaction. Some non-linear effects such as formation of a cavity-like sparse wake behind the obstacle and the dissipative pairing effect are discussed briefly. The results are obtained within the lattice gas model in the mean-field approximation.

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Induced long-time correlations in a two-component lattice gas

Cited by 6 publications

References 22 publications

Effects of gas interparticle interaction on dissipative wake-mediated forces

Effects of gas interparticle interaction on dissipative wake-mediated forces

A biased intruder in a dense quiescent medium: looking beyond the force–velocity relation

Switching of non-equilibrium depletion force caused by blockade effect

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