Universal Long Ranged Correlations in Driven Binary Mixtures

Poncet, Alexis; Bénichou, Olivier; Démery, Vincent; Oshanin, Gleb

doi:10.1103/physrevlett.118.118002

Cited by 47 publications

(78 citation statements)

References 32 publications

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“…The TPs are then expected to entrain the bath particles in a directional motion, which brings the system out-of-equilibrium and gives rise to effective bath-mediated interactions (BMIs) between the TPs. Such BMIs potentially lead to self-organisation, as observed in systems as diverse as colloidal solutions [21][22][23][24][25][26][27][28][29][30], nearly-critical fluid mixtures [31], dusty complex plasmas [32] pedestrian counter flows [33]. Quantifying the emerging interactions between biased TPs and the ensuing collective behaviour is thus a key issue which however remains largely unresolved.…”

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confidence: 99%

Bath-mediated interactions between driven tracers in dense single files

Poncet

Bénichou

Démery

et al. 2019

Phys. Rev. Research

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Single-file transport, where particles cannot bypass each other, has been observed in various experimental setups. In such systems, the behaviour of a tracer particle (TP) is subdiffusive, which originates from strong correlations between particles. These correlations are especially marked when the TP is driven and leads to inhomogeneous density profiles. Determining the impact of this inhomogeneity when several TPs are driven in the system is a key question, related to the general issue of bath-mediated interactions, which are known to induce collective motion and lead to the formation of clusters or lanes in a variety of systems. Quantifying this collective behaviour, the emerging interactions and their dependence on the amplitude of forces driving the TPs, remains a challenging but largely unresolved issue. Here, considering dense single-file systems, we analytically determine the entire dynamics of the correlations and reveal out of equilibrium cooperativity and competition effects between driven TPs.The motion of particles in narrow channels in which particles cannot bypass each other is known as singlefile diffusion. Such systems have been studied in various experimental setups with zeolites [1, 2], micro- [3,4] and nano-channels [5], and simulations of carbon nanotubes [6]. Key features, on the theoretical side, involve the existence of a subdiffusive scaling for the mean position of a given particle [7,8], and strong correlations between particles [9].The basic phenomenology of the single-file transport is well-captured by the symmetric exclusion process (SEP). In this paradigmatic model of crowded equilibrium systems, particles perform symmetric random walks on a one dimensional lattice with the constraint of at most a single occupancy of each lattice site. Different facets of the SEP have been scrutinised (see Refs. [8,[10][11][12][13][14][15]), including several important extensions to out-of-equilibrium situations. In particular, the mean displacement [16], as well as all higher-order cumulants [17] of an unbiased tagged particle (TP) placed initially at the shock point of a step-like density profile have been determined. Moreover, for a SEP with a single biased TP (due to either an energy consumption or an external force), the mean displacement of the latter [18,19] and the higher-order cumulants in the dense limit [20] have been calculated, and shown to grow sublinearly as √ t. Here, the particles accumulate in front of the TP and are depleted behind it, which results in an inhomogeneous, non-stationary spatial distribution of particles.A general open question concerns situations when several biased TPs are introduced in an otherwise quiescent medium of bath particles. The TPs are then expected to entrain the bath particles in a directional motion, which brings the system out-of-equilibrium and gives rise to effective bath-mediated interactions (BMIs) between the TPs. Such BMIs potentially lead to self-organisation, as observed in systems as diverse as colloidal solutions [21][22][23][24][25][26][27...

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confidence: 99%

Bath-mediated interactions between driven tracers in dense single files

Poncet

Bénichou

Démery

et al. 2019

Phys. Rev. Research

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“…In out-of-equilibrium systems LRCs are more common [16]; they are typically related to conservation laws (e.g. conserved particle number or momentum), as demonstrated in various systems [17][18][19][20][21]. These nonequilibrium LRCs, in turn, give rise to associated non-equilibrium fluctuation-induced forces.…”

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confidence: 99%

Correlations and forces in sheared fluids with or without quenching

et al. 2019

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Spatial correlations play an important role in characterizing material properties related to non-local effects. Inter alia, they can give rise to fluctuation-induced forces. Equilibrium correlations in fluids provide an extensively studied paradigmatic case, in which their range is typically bounded by the correlation length. Out of equilibrium, conservation laws have been found to extend correlations beyond this length, leading, instead, to algebraic decays. In this context, here we present a systematic study of the correlations and forces in fluids driven out of equilibrium simultaneously by quenching and shearing, both for non-conserved as well as for conserved Langevin-type dynamics. We identify which aspects of the correlations are due to shear, due to quenching, and due to simultaneously applying both, and how these properties depend on the correlation length of the system and its compressibility. Both shearing and quenching lead to long-ranged correlations, which, however, differ in their nature as well as in their prefactors, and which are mixed up by applying both perturbations. These correlations are employed to compute non-equilibrium fluctuation-induced forces in the presence of shear, with or without quenching, thereby generalizing the framework set out by Dean and Gopinathan. These forces can be stronger or weaker compared to their counterparts in unsheared systems. In general, they do not point along the axis connecting the centers of the small inclusions considered to be embedded in the fluctuating medium. Since quenches or shearing appear to be realizable in a variety of systems with conserved particle number, including active matter, we expect these findings to be relevant for experimental investigations.instance, to uniaxial magnetic systems, model B describes binary alloys, spinodal dynamics of binary liquid mixtures, as well as single-component fluids [32,33]. These models have been applied extensively in describing various dynamical situations, e.g. the approach of the critical point from non-equilibrium initial conditions [34][35][36][37], the coarsening following a temperature quench [38,39], or for driven systems at criticality [40,41]. They have also been used to study shearing of near-critical fluids [42][43][44][45][46][47][48], leading to a large variety of phenomena.The use of such models provides generic scenarios, which we expect to be relevant for physical systems which allow for shearing and/or quenching. Shear is directly experimentally accessible [49]. Quenches can also be realized, for instance by using effective interactions of particles which can be changed suddenly, e.g. by swelling particles [50] or through external fields [51]. Another type of quench concerns a sudden change of temperature, which is a perturbation often employed in order to obtain supercooled liquids [52]. Such quenches of temperature (or of noise strength) may be achieved experimentally also in active fluids [53][54][55], which in many respects can be described by the use of effective temperatures [27,56...

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“…Laning [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] is one such example realized in a host of simple systems like army ants [20], pedestrian movements [21], granular media [22], dusty plasma [23], dipolar microswimmers [24] and is often considered as a generic model of non-equilibrium systems where two species of particles are driven against each other [5][6][7][8][9][10][11][12][13][14][15][17][18][19][20][21][22][23]. Colloids mimic the phenomenon: applying a constant electric field, the system of binary charges crosses over from a homogeneous mixture to a state with columnar lanes of likely charged particles elongated parallel to the field [1][2][3][4][5][6][7]…”

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confidence: 99%

“…This leads to a dynamical heterogeneity (DH) [14] and heterogeneity in structural relaxation [17] as the primitive lanes grow with field [15]. The correlations decay exponentially in the transverse field and algebraically in the direction of the field [16,17,19]. Interestingly, laning occurs via the pre-lane state with anomalous dynamical responses due to a heterogeneity in diffusion [17], like that in super-cooled liquids [25], yet the nature of dynamics differs at a single particle level.…”

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Microscopic insights into dynamical heterogeneity in a lane forming colloid

Dutta

2019

Chemical Physics

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Dynamical heterogeneity (DH) in non-equilibrium systems is a topic of profound interest yet an open question. In a model system of constantly driven oppositely charged binary colloidal suspension, we explore DH in a model lane-forming system using BD simulations. We show that the system undergoes structural and dynamical cross-over using spatio-temporal correlation functions. For small field, the structural relaxation is homogeneous while it is heterogeneous for sufficiently high field. In order to explore the heterogeneity, we track and tag the particles to compute partial structures that relax at different rates, in which heterogeneity has its maximum in the intermediate state.

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Universal Long Ranged Correlations in Driven Binary Mixtures

Cited by 47 publications

References 32 publications

Bath-mediated interactions between driven tracers in dense single files

Bath-mediated interactions between driven tracers in dense single files

Correlations and forces in sheared fluids with or without quenching

Microscopic insights into dynamical heterogeneity in a lane forming colloid

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