Solitons in a surface reaction

Rotermund, Harm Hinrich; Jakubith, S.; Oertzen, Alexander von; Ertl, G.

doi:10.1103/physrevlett.66.3083

Cited by 226 publications

(107 citation statements)

References 14 publications

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“…Soliton-like interactions of solitary waves have been observed in some reaction-diffusion systems with excitable kinetics, both in numerics [25,26,27,28,29,30] and in experiments [30,31]. Such interactions are always limited to narrow parameter ranges close to the boundaries between excitable and oscillatory (limit cycle) regimes of the reaction kinetics.…”

Section: Quasisoliton Interaction Of Pulsesmentioning

confidence: 99%

Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator–prey pursuit and evasion example

Tsyganov

Brindley

Holden

et al. 2004

Physica D: Nonlinear Phenomena

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We have studied properties of nonlinear waves in a mathematical model of a predator-prey system with pursuit and evasion. We demonstrate a new type of propagating wave in this system. The mechanism of propagation of these waves essentially depends on the "taxis", represented by nonlinear "cross-diffusion" terms in the mathematical formulation. We have shown that the dependence of the velocity of wave propagation on the taxis has two distinct forms, "parabolic" and "linear". Transition from one form to the other correlates with changes in the shape of the wave profile. Dependence of the propagation velocity on diffusion in this system differs from the square-root dependence typical of reaction-diffusion waves. We demonstrate also that, for systems with negative and positive taxis, for example, pursuit and evasion, there typically exists a large region in the parameter space, where the waves demonstrate quasisoliton interaction: colliding waves can penetrate through each other, and waves can also reflect from impermeable boundaries.

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Section: Quasisoliton Interaction Of Pulsesmentioning

confidence: 99%

Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator–prey pursuit and evasion example

Tsyganov

Brindley

Holden

et al. 2004

Physica D: Nonlinear Phenomena

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“…The studies about this topics have naturally followed and sided those dedicated to the formation of temporal and spatial solitons in Hamiltonian systems [1]. Analytical and numerical works have identified several distinct mechanisms leading to structure localization in dissipative systems [2], and experimental observations of this phenomenon have been recently offered in several systems, such as fluid dynamics [3], chemistry [4], granular materials [5] and nonlinear optics [6].…”

mentioning

confidence: 99%

Tailoring the profile and interactions of optical localized structures

Benkler²,

Bortolozzo

et al. 2002

Phys. Rev. E

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We experimentally demonstrate the broad tunability of the main features of optical localized structures (LS) in a nonlinear interferometer. By discussing how a single LS depends on the system spatial frequency bandwidth, we show that a modification of its tail leads to the possibility of tuning the interactions between LS pairs, and thus the equilibrium distances at which LS bound states form. This is in agreement with a general theoretical model describing weak interactions of LS in nonlinear dissipative systems.Localization of spatial patterns is a subject of major current interest in the research on nonlinear dissipative dynamical systems. The studies about this topics have naturally followed and sided those dedicated to the formation of temporal and spatial solitons in Hamiltonian systems [1]. Analytical and numerical works have identified several distinct mechanisms leading to structure localization in dissipative systems In particular, optical localized structures (LS), to which we will also refer to as dissipative solitons in the following, are objects of intense research, also in view of possible applications as pixels in devices for information storage or processing. So far, the existence of optical dissipative solitons has been theoretically predicted in many passive [7] and active [8] configurations, and optical LS have been observed in

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“…Several papers have been directed at the oxidation of CO on Pt [19,[9][10][11], and one each on molybdenum carbide formation [20] and oxidation of carbon [21] on Pt(100). In both of the latter cases, definite orientation effects have been observed between the surface lattice and the overlayer of carbide, or the direction of carbon oxidation along high symmetry surface directions.…”

Section: Methodsmentioning

confidence: 99%

“…The emergence of surface science in the last decades has spurred a rediscovery of emission microscopy, because the emission microscope is a hiQh contrast method, able to detect and image singe layers of adsorbed gasses and metals on solid surfaces [8][9][10], and to provide both real space images and diffraction patterns [11][12][13] in real time at video rates (30 millisec/frame).…”

Section: Introductionmentioning

confidence: 99%

The In situ Observation of Diamond Film Nucleation and Growth

Kordesch¹

1992

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Solitons in a surface reaction

Cited by 226 publications

References 14 publications

Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator–prey pursuit and evasion example

Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator–prey pursuit and evasion example

Tailoring the profile and interactions of optical localized structures

The In situ Observation of Diamond Film Nucleation and Growth

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