Self-Organization

Green, David G.; Sadedin, Suzanne; Leishman, Tania Gaye

doi:10.1016/b978-008045405-4.00696-0

Cited by 6 publications

(10 citation statements)

References 4 publications

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“…that emerge from self-organization of 12 swimmers in a tank with a circular boundary enclosing an area of 473.8 cm. [2] b) Distinct patterns (labeled S1-S9) that emerge from self-organization of 12 swimmers in a tank with a square boundary enclosing an area of 420.3 cm. [2] c) Distinct patterns (labeled R1-R5) that emerge from self-organization of 12 swimmers in a tank with a rectangular boundary of aspect ratio 4:5 enclosing an area of 473.8 cm.…”

Section: Swimmers: Magnets and Boatsmentioning

confidence: 99%

“…Figure 5 shows some typical patterns enclosing an area of 1965 cm. [2]. Note that the swimmer areal density is maintained at 255 swimmers per m 2 as for the smaller tanks.…”

Section: Swimmersmentioning

confidence: 99%

“…For instance, in the extreme case of the width of the tank being close to the width of a swimmer with the length of the tank being commensurately long, only a linear pattern of equidistant swimmers can emerge. Here, as the aspect ratio of the rectangular tank approaches that of the square tank, the number of distinct patterns generated by the self-organization of swimmers [2] Table 2. Values of Q, defined as the ratio of the perimeter to the area enclosed, for the tanks used in this study.…”

Section: Swimmersmentioning

confidence: 99%

“…The phenomenon of spontaneous organization of entities, into an ordered arrangement due to interactions between them, in a disturbed system without the aid of any external agent is termed as self-organization. [1,2] Systems exhibiting self-organization are necessarily dynamic with continuous multiple interactions between the entities. [2,3] The interaction is usually non-linear in nature.…”

Section: Introductionmentioning

confidence: 99%

“…[1,2] Systems exhibiting self-organization are necessarily dynamic with continuous multiple interactions between the entities. [2,3] The interaction is usually non-linear in nature. Further, there is a requirement that energy is available to the system which allows it to alter its configuration, thus allowing for an exploration of the energy landscape to lower system energy, resulting in the emergence of different patterns.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Effect of Boundaries on Pattern Formation in a Monolayer of Interacting Dipoles

Raghunatha,

Chirania,

Niranjan

et al. 2024

Macromolecular Symposia

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Self‐organization can be defined as a process of arrangement of entities that start out in an irregular arrangement and evolve into a stable, regular pattern without the aid of an external agent. A system of magnetic particles that are constrained to move only in a plane is reported. The individual components in the system have dipole moments in an orientation perpendicular to the plane of motion and the interaction between components is purely repulsive. For such a system, it is attempted to understand the influence of the boundary of the monolayer on the patterns that emerge. A system with a small number of magnets is found where the range of the magnetic interactions is of the size of the boundary; the symmetry of the boundary imposed on the monolayer plays a crucial role in determining the pattern types, the number of different pattern types, and the frequency of appearance of a particular pattern type. The effect of scaling up the size of the system while maintaining the characteristics of individual components as well as the component areal density is also discussed.

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Section: Swimmers: Magnets and Boatsmentioning

confidence: 99%

“…Figure 5 shows some typical patterns enclosing an area of 1965 cm. [2]. Note that the swimmer areal density is maintained at 255 swimmers per m 2 as for the smaller tanks.…”

Section: Swimmersmentioning

confidence: 99%

Section: Swimmersmentioning

confidence: 99%