Roughness of two nonintersecting one-dimensional interfaces

Juntunen, Janne; Pulkkinen, Otto; Merikoski, J.

doi:10.1103/physreve.76.041607

Cited by 5 publications

(20 citation statements)

References 24 publications

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“…These include crystal growth [1], wetting [2,3], combustion [4,5], vortex motion in superconductors [6], mechanical fracturing [7] and switching in ferromagnetic and ferroelectric materials [8][9][10][11][12]. However, the majority of work examining the universal dynamics of these interfaces has been limited to studies of single interfaces, and it is only quite recently that the problem of coupled interfaces has begun to be addressed [13][14][15].…”

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confidence: 99%

Dynamic Binding of Driven Interfaces in Coupled Ultrathin Ferromagnetic Layers

et al. 2010

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We demonstrate experimentally dynamic interface binding in a system consisting of two coupled ferromagnetic layers. While domain walls in each layer have different velocity-field responses, for two broad ranges of the driving field H, walls in the two layers are bound and move at a common velocity. The bound states have their own velocity-field response and arise when the isolated wall velocities in each layer are close, a condition which always occurs as H→0. Several features of the bound states are reproduced using a one-dimensional model, illustrating their general nature.

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confidence: 99%

Dynamic Binding of Driven Interfaces in Coupled Ultrathin Ferromagnetic Layers

et al. 2010

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“…The evolving environment for diffusion is produced by the dynamics of the BCSOS2 model that we introduced and discussed in Ref. [18]. Below we give only a brief description of the BCSOS2 model so that the dynamical rules for diffusion become well defined for the present study.…”

Section: A Model For the Interface Dynamicsmentioning

confidence: 99%

“…To further limit the parameter space, we shall restrict the discussion to the symmetric case p 1 = q 2 and q 1 = p 2 (see Ref. [18]) so that the behavior of the BCSOS2 system is defined by one parameter, the driving parameter f defined as…”

Section: A Model For the Interface Dynamicsmentioning

confidence: 99%

“…To be more specific, we study diffusion on a lattice in the environment produced by the dynamics of the BCSOS2-model introduced in Ref. [18], containing two non-intersecting interfaces driven against each other. Thus, due to the interface dynamics, the actual transition rates of a diffusing particle become dependent on time and position, when the jumps of the particle are possible only inside the 'bubbles' between the interfaces.…”

Section: Introductionmentioning

confidence: 99%

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Diffusion between evolving interfaces

Juntunen,

Merikoski

2010

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Diffusion in an evolving environment is studied by continuos-time Monte Carlo simulations. Diffusion is modelled by continuos-time random walkers on a lattice, in a dynamic environment provided by bubbles between two one-dimensional interfaces driven symmetrically towards each other. For one-dimensional random walkers constrained by the interfaces, the bubble size distribution dominates diffusion. For two-dimensional random walkers, it is also controlled by the topography and dynamics of the interfaces. The results of the one-dimensional case are recovered in the limit where the interfaces are strongly driven. Even with simple hard-core repulsion between the interfaces and the particles, diffusion is found to depend strongly on the details of the dynamical rules of particles close to the interfaces.

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“…A relatively recent theoretical, and more recently, experimental, playground has been developing concerning the physics of interacting interfaces in 2D systems. Theoretically, this problem has been studied via modified growth equations 16,17 , Monte Carlo modeling of repulsive or non-interacting interfaces 18,19 and scaling arguments 20 . Quasi-2D experimental realizations of systems containing coupled interfaces have also been conceived, ranging from interacting fluid fronts 21 to repulsive 20 and attractive 22,31 magnetic domain walls.…”

Section: Introductionmentioning

confidence: 99%

Model of bound interface dynamics for coupled magnetic domain walls

et al. 2011

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A domain wall in a ferromagnetic system will move under the action of an external magnetic field. Ultrathin Co layers sandwiched between Pt have been shown to be a suitable experimental realization of a weakly disordered 2D medium in which to study the dynamics of 1D interfaces (magnetic domain walls). The behavior of these systems is encapsulated in the velocity-field response v(H) of the domain walls. In a recent paper [P.J. Metaxas et al., Phys. Rev. Lett. 104, 237206 (2010)] we studied the effect of ferromagnetic coupling between two such ultrathin layers, each exhibiting different v(H) characteristics. The main result was the existence of bound states over finite-width field ranges, wherein walls in the two layers moved together at the same speed. Here, we discuss in detail the theory of domain wall dynamics in coupled systems. In particular, we show that a bound creep state is expected for vanishing H and we give the analytical, parameter free expression for its velocity which agrees well with experimental results.Comment: 9 page

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Roughness of two nonintersecting one-dimensional interfaces

Cited by 5 publications

References 24 publications

Dynamic Binding of Driven Interfaces in Coupled Ultrathin Ferromagnetic Layers

Dynamic Binding of Driven Interfaces in Coupled Ultrathin Ferromagnetic Layers

Diffusion between evolving interfaces

Model of bound interface dynamics for coupled magnetic domain walls

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