Dynamic Self-Assembly of Spinning Particles

Climent, Éric; Yeo, Kyongmin; Maxey, Martin; Karniadakis, George

doi:10.1115/1.2436587

Cited by 51 publications

(75 citation statements)

References 30 publications

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“…The important role of the azimuthal hydrodynamic interactions between colloidal particles in a fluid driven to rotate by an external drive in controlling the dynamical assembly of such artificial microswimmers has been recognized for some time [2][3][4][5]33 . Yet, only recently it has been pointed out that this interaction yields a net finite velocity for the center of mass of two rotors of opposite vorticity, which will therefore behave as a self-propelled pair 27 .…”

Section: Discussionmentioning

confidence: 99%

“…Experimental realizations of passive rotors naturally generate, however, rotors of the same vorticity. The most common realization of collections of microrotors consist of magnetic dipoles driven by an external rotating magnetic field [2][3][4] . The direction of rotation of the rotors is then imposed by that of the magnetic field, and is the same for all the rotors.…”

Section: Discussionmentioning

confidence: 99%

“…The drag force and torque are given by Eqs. (4). For an isolated swimmer, u 0 reduces to the flow field created by the thrust force −F exerted on the fluid at point T .…”

Section: Single Active Rotormentioning

confidence: 99%

“…We limit our analysis to the case of rotors confined to a twodimensional plane with their spinning direction perpendicular to that plane. This constraint is often realized in experiments by confining rotors to a liquid/air interface [2][3][4][5] , or a thin layer of viscous fluid embedded in a different unbounded viscous fluid [25][26][27] , or in the case of many swimming unicellular organisms simply because they are attracted to a boundary that in turn triggers the rotational dynamics 8,9,[13][14][15][16] .…”

Section: Introductionmentioning

confidence: 99%

“…One important class of propelled particles that has received relatively little attention is "rotors", that is particles that rotate in a fluid in response to externally applied or internally generated torques. An external torque is provided for instance by a rotating magnetic field [2][3][4][5] applied to particles carrying a magnetic moment, or by an optical trap 6,7 . Internally generated torques, on the other hand, originate from forces exerted by the rotor itself on the fluid.…”

Section: Introductionmentioning

confidence: 99%

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Cooperative self-propulsion of active and passive rotors

Fily

Baskaran

2012

Soft Matter

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Reynolds number passive and active rotors in a fluid, we characterize the hydrodynamic interactions among rotors and the resulting dynamics of a pair of interacting rotors. This allows us to treat in a common framework passive or externally driven rotors, such as magnetic colloids driven by a rotating magnetic field, and active or internally driven rotors, such as sperm cells confined at boundaries. The hydrodynamic interaction of passive rotors is known to contain an azimuthal component ∼ 1/r 2 to dipolar order that can yield the recently discovered "cooperative self-propulsion" of a pair of rotors of opposite vorticity. While this interaction is identically zero for active rotors as a consequence of torque balance, we show that a ∼ 1/r 4 azimuthal component of the interaction arises in active systems to octupolar order. Cooperative self-propulsion, although weaker, can therefore also occur for pairs of active rotors.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

“…The drag force and torque are given by Eqs. (4). For an isolated swimmer, u 0 reduces to the flow field created by the thrust force −F exerted on the fluid at point T .…”

Section: Single Active Rotormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Cooperative self-propulsion of active and passive rotors

Fily

Baskaran

2012

Soft Matter

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The Rate of Energy Dissipation Determines Probabilities of Non‐equilibrium Assemblies

Tretiakov¹,

Szleifer

Grzybowski

2013

Angewandte Chemie

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Jenseits des thermodynamischen Gleichgewichts kann das Ergebnis einer Selbstorganisation nicht nur von der Energie, sondern auch von der Geschwindigkeit der Energiedissipation abhängen. Solche Prozesse können zu Strukturen mit geringer wie mit hoher Dissipation führen. Letztere sind aus thermodynamischer Sicht weniger günstig, und ihre Bildungswahrscheinlichkeit sinkt exponentiell mit zunehmender Dissipationsgeschwindigkeit. Quantifiziert wird dies durch eine Art Boltzmann‐Gleichung für Nichtgleichgewichtssysteme.

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The Rate of Energy Dissipation Determines Probabilities of Non‐equilibrium Assemblies

Tretiakov¹,

Szleifer²,

Grzybowski³

2013

Angew Chem Int Ed

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Beyond construction of ordered, equilibrium structures, one of the grand visions of self-assembly research is to organize matter away from thermodynamic equilibrium. [1] The inspiration for such dynamic/non-equilibrium self-assembly, [2] NESA, comes largely from biology [2c,d] (with cells and organisms being perfect examples of non-equilibrium assemblies), while its promise lies in the new types of dynamic materials [3a-d] and chemical systems [3e-g] that could harness and dissipate the externally delivered energy to sense and adapt to the environment, reconfigure, exhibit taxis, or even selfreplicate. Despite recent progress, [2,3] however, NESA remains an experimental challenge and is also in need of unifying statistical-thermodynamic principles. At equilibrium, the Boltzmann relation P(E) / exp(ÀE/kT) provides a powerful and predictive link between the probability P of structure formation and its energy E. In the non-equilibrium (NE) regime, such general principles do not exist, and our understanding of NE thermodynamics is largely limited to the so-called near-equilibrium conditions. [4] There, the formalism developed by Prigogine some seven decades ago [4c] prescribes that the structures that are formed minimize the entropy production dS/dt and the rate e at which energy is dissipated (see Methods). Although the validity of this minimal entropy production (MEP) rule has been questioned, [5] and Prigogine himself clearly emphasized that it applies only "sufficiently close to equilibrium," his Nobel Prizewinning work has subsequently assumed life of its own, with frequent interpretations [6] suggesting that Nature generally forms minimally dissipative structures and systems. Indeed, does it? To answer this question requires a rigorous approach. First, a NE system must be implemented that has a "choice" of evolving into more than one dissipative structure. Second, these possible structures should differ only in their rates of energy dissipation, and not in energies or other parameters; if many

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Dynamic Self-Assembly of Spinning Particles

Cited by 51 publications

References 30 publications

Cooperative self-propulsion of active and passive rotors

Cooperative self-propulsion of active and passive rotors

The Rate of Energy Dissipation Determines Probabilities of Non‐equilibrium Assemblies

The Rate of Energy Dissipation Determines Probabilities of Non‐equilibrium Assemblies

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