Traveling band formation in feedback-driven colloids

Tarama, Sonja; Egelhaaf, Stefan U.; Löwen, Hartmut

doi:10.1103/physreve.100.022609

Cited by 21 publications

(14 citation statements)

References 115 publications

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“…Similar situations with two groups of particles moving in the other direction have been extensively studied in the context of lane and pattern formations not only of pedestrians (Ikeda & Kim 2017; Feliciani, Murakami & Nishinari 2018), but also of various physical particles, such as charged colloids (Vissers et al. 2011 b ; Vissers, van Blaaderen & Imhof 2011 a ; Tarama, Egelhaaf & Löwen 2019), granular systems (Aranson & Tsimring 2006), migrating macroions (Netz 2003), microswimmers (Kogler & Klapp 2015) and plasmas (Sarma et al. 2020).…”

Section: Introductionmentioning

confidence: 94%

Effect of external magnetic field on lane formation in driven pair-ion plasmas

2021

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Lane formation dynamics in externally driven pair-ion plasma (PIP) particles is studied in the presence of external magnetic field using Langevin dynamics (LD) simulation. The phase diagram obtained distinguishing the no-lane and lane states is systematically determined from a study of various Coulomb coupling parameter values. A peculiar lane formation-disintegration parameter space is identified; lane formation area extended to a wide range of Coulomb coupling parameter values is observed before disappearing to a mixed phase. The different phases are identified by calculating the order parameter. This and the critical parameters are calculated directly from LD simulation. The critical electric field strength value above which the lanes are formed distinctly is obtained, and it is observed that in the presence of the external magnetic field, the PIP system requires a higher value of the electric field strength to enter into the lane formation state than that in the absence of the magnetic field. We further find out the critical value of electric field frequency beyond which the system exhibits a transition back to the disordered state and this critical frequency is found as an increasing function of the electric field strength in the presence of an external magnetic field. The movement of the lanes is also observed in a direction perpendicular to that of the applied electric and magnetic field directions, which reveals the existence of the electric field drift in the system under study. We also use an oblique force field as the external driving force, both in the presence and absence of the external magnetic field. The application of this oblique force changes the orientation of the lane structures for different applied oblique angle values.

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Section: Introductionmentioning

confidence: 94%

Effect of external magnetic field on lane formation in driven pair-ion plasmas

2021

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“…In fact, the self-consistent phase transition occurs when particle correlation force effects become significantly large (Dwivedi 2000). Similar situations with two groups of particles moving in opposite directions have been extensively studied in the context of lane and pattern formations in different model systems of driven particles, such as colloidal dispersions (Vissers, van Blaaderen & Imhof 2011a;Vissers et al 2011b;Tarama, Egelhaaf & Löwen 2019), lattice gases (Schmittmann & Zia 1998), molecular ions (Netz 2003), microswimmers (Kogler & Klapp 2015) and plasmas (Sarma et al 2020;Baruah et al 2021). Although several works have already been performed concerning non-equilibrium conditions that form patterns or exhibit complex, perhaps chaotic behaviours, the mechanisms of pattern formation for non-equilibrium conditions are much less clear and are an active area of research.…”

Section: Introductionmentioning

confidence: 92%

Lane dynamics in pair-ion plasmas: effect of obstacle and geometric aspect ratio

2021

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Lane formation dynamics of driven two-dimensional pair-ion plasmas is investigated in under-damped cases where the effect of particle inertia cannot be neglected. Extensive Langevin dynamics simulations using an OpenMP parallel program are carried out to analyse the effect of obstacle and geometric aspect ratio on lane formation dynamics previously reported in Sarma et al. (Phys. Plasmas, vol. 27, 2020, 012106) and Baruah et al. (J. Plasma Phys., vol. 87, 2021, 905870202). Lanes are found to form when like particles move along or opposite to the applied field direction. Lane order parameter, cumulative order parameter and distribution of the order parameter have been implemented to detect phase transition. The effect of geometric aspect ratio on the stability of lanes is systematically determined in both the presence and absence of an obstacle. Here, a specular reflective boundary condition is implemented to mimic an obstacle. We demonstrate that an obstacle promotes the merging of lanes, and the system gradually transitions to a partially mixed phase with higher value of aspect ratio. The occurrence of lane mixing phenomena at the separation boundary of two oppositely flowing lanes at higher value of aspect ratio is observed. In the presence of an oscillatory electric field, the lane merging tendency is reduced to a large extent as compared to the system where a constant electric field is applied. Furthermore, in the presence of both space- and time-varying electric fields, an appearance of a void is observed on either side of the obstacle. The study finds that the presence of an external magnetic field promotes acceleration of the phase transition process towards the lane mixing phase; it also reveals the existence of electric field drift in the system. Our findings may prove to be useful in understanding the nature of lane dynamics in naturally occurring pair-ion plasma systems as well as their relevance to technological applications that exploit or mitigate self-organization.

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“…Linear stability analysis has found a large number of applications in DDFT. Examples include the determination of the dispersion relation for front-speed calculation [50,462,676,725], traveling waves [345], spinodal decomposition of magnetic fluids [450], spinodal decomposition in a fluid with anisotropic diffusion [726], spinodal and freezing modes [311,727], the McKean-Vlasov equation [728], the Dean-Kawasaki equation [244], solvent-density modes [388,729], capillary interactions [302], lane formation [323,431], quasicrystal formation [730][731][732][733], phase behavior of thin films [457], orientational order of microswimmers [410,411], actively switching particles [461], dynamics of cancer cells [49], and epidemic outbreaks [50].…”

Section: Steady Solutionsmentioning

confidence: 99%

“…In colloidal systems, DDFT is used to study, e.g., the design of spatiotemporal patterns by means of time-dependent external potentials [957] or traveling band formation [345]. Stripe formation in magnetic fluids can occur as a consequence of intrinsic phase separation combined with external drives [449].…”

Section: Pattern Formationmentioning

confidence: 99%

Classical dynamical density functional theory: from fundamentals to applications

Vrugt

Löwen

Wittkowski

2020

Advances in Physics

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189

220

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Classical dynamical density functional theory (DDFT) is one of the cornerstones of modern statistical mechanics. It is an extension of the highly successful method of classical density functional theory (DFT) to nonequilibrium systems. Originally developed for the treatment of simple and complex fluids, DDFT is now applied in fields as diverse as hydrodynamics, materials science, chemistry, biology, and plasma physics. In this review, we give a broad overview over classical DDFT. We explain its theoretical foundations and the ways in which it can be derived. The relations between the different forms of deterministic and stochastic DDFT as well as between DDFT and related theories, such as quantum-mechanical time-dependent DFT, mode coupling theory, and phase field crystal models, are clarified. Moreover, we discuss the wide spectrum of extensions of DDFT, which covers methods with additional order parameters (like extended DDFT), exact approaches (like power functional theory), and systems with more complex dynamics (like active matter). Finally, the large variety of applications, ranging from fluid mechanics and polymer physics to solidification, pattern formation, biophysics, and electrochemistry, is presented.

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Traveling band formation in feedback-driven colloids

Cited by 21 publications

References 115 publications

Effect of external magnetic field on lane formation in driven pair-ion plasmas

Effect of external magnetic field on lane formation in driven pair-ion plasmas

Lane dynamics in pair-ion plasmas: effect of obstacle and geometric aspect ratio

Classical dynamical density functional theory: from fundamentals to applications

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