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Patterning of Microorganisms and Microparticles through Sequential Capillarity-assisted Assembly

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Ghost-patterning and non-patterning in a draining film model.

Craig A Hall¹, R M L Evans²

¹School of Mathematics, University of Leeds, LS2 9JT, Leeds, UK.

The European Physical Journal. E, Soft Matter

|June 1, 2020

Summary

This summary is machine-generated.

Discover "ghost-patterns," a new way structures form in unstable systems. Unlike typical pattern formation, these structures arise when decaying modes leave one persistent non-uniform motif, even without positive growth rates.

Keywords:

Flowing Matter: Interfacial phenomena

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Area of Science:

Non-equilibrium physics
Complex systems
Pattern formation

Background:

Uniform systems can become unstable, leading to the growth of non-uniform patterns.
Traditional pattern formation relies on specific modes exhibiting positive growth rates.

Purpose of the Study:

To identify and describe an alternative mechanism for generating non-trivial structures.
To introduce the concept of "ghost-patterns" as a novel form of structure emergence.

Main Methods:

Investigated pattern formation from noisy initial conditions.
Analyzed the amplitude evolution of non-uniform modes in a system.
Utilized an idealized non-equilibrium model simulating draining thin-film suspensions.

Main Results:

Identified "ghost-patterns" where all non-uniform modes decay except one.
Demonstrated that positive growth rates are not necessary for structure formation.
Observed ghost-pattern emergence in a model of draining thin-film suspensions.

Conclusions:

Ghost-patterns represent a new paradigm in understanding structure formation.
This finding broadens the conditions under which complex structures can emerge from simple initial states.
The concept has implications for systems exhibiting decay dynamics, such as thin-film suspensions.