# Grain-boundary motion in layered phases.

@article{Boyer2001GrainboundaryMI, title={Grain-boundary motion in layered phases.}, author={Denis Boyer and Jorge Vi{\~n}als}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2001}, volume={63 6 Pt 1}, pages={ 061704 } }

We study the motion of a grain boundary that separates two sets of mutually perpendicular rolls in Rayleigh-Bénard convection above onset. The problem is treated either analytically from the corresponding amplitude equations, or numerically by solving the Swift-Hohenberg equation. We find that if the rolls are curved by a slow transversal modulation, a net translation of the boundary follows. We show analytically that although this motion is a nonlinear effect, it occurs in a time scale much…

## 8 Citations

Defect structures in the growth kinetics of the Swift-Hohenberg model.

- Materials SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2003

An algorithm for finding and identifying the disordering defects (dislocations, disclinations, and grain boundaries) at a given time is introduced and the system has a very low density of disclinations compared to that for dislocations and fraction of points in grain boundaries.

Grain boundary dynamics under mechanical annealing in two-dimensional colloids.

- Materials SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2004

Two-dimensional (2D) colloids embedded in a soap film are employed to study the structures and dynamics of grain boundaries, finding that the GB lines are faceted at "atomic" scale, leading to a constant energy per unit length along each line.

Anisotropic Linear Response in Block Copolymer Lamellar Phases

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We examine the linear response of a lamellar block copolymer phase in the weak segregation regime and focus on those effects that arise from the uniaxial symmetry of the phase. The classical two…

Structure-rheology relationship in a sheared lamellar fluid.

- Materials SciencePhysical review. E
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The lattice Boltzmann method is used to solve the concentration and momentum equations for a two dimensional system of moderate size and for a low Reynolds number, and the other parameters are systematically varied to examine the qualitative features of the structure and viscosity evolution in different regimes.

Defect dynamics in mesophases

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Block copolymer phases are a fertile ground in which to investigate both equilibrium and nonequilibrium properties of mesophases (phases that exhibit partial broken symmetries, intermediate between a…

Model for striped growth.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2004

A model for describing the defected growth of striped patterns that generates a quite different mixture of defects during phase ordering and finds two characteristic lengths in the system: the scaling length L(t), and the average width of the domain walls.

Defects in the Self-Assembly of Block Copolymers and Their Relevance for Directed Self-Assembly.

- Materials ScienceAnnual review of chemical and biomolecular engineering
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Block copolymer self-assembly provides a platform for fabricating dense, ordered nanostructures by encoding information in the chemical architecture of multicomponent macromolecules. Depending on the…

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