Interaction between particles adsorbed on metal surfaces

Braun, O. M.; Medvedev, V.K.

doi:10.1070/pu1989v032n04abeh002700

Cited by 147 publications

(76 citation statements)

References 15 publications

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“…The work function change has its minimum value there for the first monolayer, which is normally taken as the indication of the transition from a more ionic to a metallic bond. 2 In addition, the nature of the lateral interactions begins to change at this coverage, as indicated above, making the formation of small domains more likely than at smaller coverages. These properties are coupled with the beginning of a strong increase of the measured diffusion coefficients.…”

Section: Discussionmentioning

confidence: 85%

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Phase transitions in the adsorption system Li/Mo(112)

et al. 2000

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Experimental studies of the phase transitions in the adsorption system Li/Mo͑112͒ are presented. This system is a model system for highly anisotropic interactions. From measurements of the half-widths of the low-energy electron diffraction spot profiles a phase diagram is derived for the whole submonolayer region of coverage in the temperature range 100-500 K. The commensurate low-coverage phases below ϭ0.6 form chains normal to the troughs of the substrate. The commensurate p(4ϫ1) phase, which is completed at a coverage, , of 0.25 monolayers ͑ML͒, seems to be truly long range ordered, whereas the p(2ϫ1) phase at ϭ0.5 still contains domain boundaries even at the lowest temperature of 100 K. Both undergo temperaturedriven order-disorder phase transitions. In contrast, the incommensurate phases existing in the coverage range ϭ0.66-0.90 form chains along the troughs, which are only weakly coupled normal to the troughs of the substrate. These phases exhibit two coverage-driven phase transitions from rectangular to oblique units cells and back at critical coverages of 0.66 and 0.85, respectively, and represent floating solids. As a function of temperature, they undergo a two-dimensional melting transition. Close to the critical coverages, the melting temperatures show a sharp drop below the temperature range accessible in our experiments. Both functional dependences of the angular deviation from 90°and of the melting temperature on coverage are in good agreement with a phenomenological theoretical model, assuming an instability of the shear modulus of the adsorbate unit cell at the critical coverages.

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Section: Discussionmentioning

confidence: 85%

“…15 The corresponding binding energy, 0 , is much larger than the energy of the interchain interaction, 1 . 2 Under this condition, following Ref. 15, T c ϰ 0 , whereas T c depends only logarithmically on 1 .…”

Section: Phase Diagram Low-coverage Sectionmentioning

confidence: 90%

Phase transitions in the adsorption system Li/Mo(112)

et al. 2000

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“…α = 3). In the case of an anisotropic Fermi surface, for some range of distances, the value of β = 1 [7].…”

Section: Thermodynamics Of the Chain Structurementioning

confidence: 99%

“…Chain structures demonstrate remarkable thermal stability (see [6,7]). Their transition temperatures are high, compared with the weak interaction between chains in the structures with large period.…”

Section: Introductionmentioning

confidence: 99%

Diffusion in a strongly correlated anisotropic overlayer

2001

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We study the collective diffusion in chain structures on anisotropic substrates like (112) bcc and (110) fcc surfaces with deep troughs in the substrate potential corrugation. These chain structures are aligned normal to the troughs and can move only along the troughs. In a combination of theoretical arguments and of numerical simulations, we study the mass transport in these anisotropic systems. We find that a mechanism similar to soliton diffusion, instead of single particle diffusion, is still effective at temperatures well above the melting temperature of the ordered chain structures. This mechanism is directly correlated with the ordered phases that appear at much lower temperatures. As a consequence, also the influence of frozen disorder is still visible above the melting temperature. Theoretically we predict a strong dependence of the pre-exponential factor and weak dependence of the activation energy on the concentration of frozen surface defects. These predictions are confirmed by the simulations.

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“…Previous studies on the nonlinear dynamics of discrete systems have used various phenomenological potentials of the Frenkel-Kontorova form giving rise to a kink soliton solution. For example, periodic potentials of Sine-Gordon type, nonsinusoidal and multibarrier potentials [42][43][44][45], and anharmonic potentials have been used to model such diverse physical systems as dislocation dynamics [46][47][48][49][50], incommensurate structural transitions in surface physics [51][52][53] and dielectrics [54,55], ferromagnetic and antiferromagnetic domain wall transitions [56][57][58], and molecular shock interactions [59,60], to mention but a few. The mechanical response of carbon nanotubes [61,62] as well as of cellular structural solids [63], has been explained on the basis of buckling or snapping instabilities arising from systems with multiple stable configurations.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of periodic mechanical structures containing bistable elastic elements: From elastic to solitary wave propagation

2014

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We investigate the nonlinear dynamics of a periodic chain of bistable elements consisting of masses connected by elastic springs whose constraint arrangement gives rise to a large-deformation snap-through instability. We show that the resulting negative-stiffness effect produces three different regimes of (linear and nonlinear) wave propagation in the periodic medium, depending on the wave amplitude. At small amplitudes, linear elastic waves experience dispersion that is controllable by the geometry and by the level of precompression. At moderate to large amplitudes, solitary waves arise in the weakly and strongly nonlinear regime. For each case, we present closed-form analytical solutions and we confirm our theoretical findings by specific numerical examples. The precompression reveals a class of wave propagation for a partially positive and negative potential. The presented results highlight opportunities in the design of mechanical metamaterials based on negative-stiffness elements, which go beyond current concepts primarily based on linear elastic wave propagation. Our findings shed light on the rich effective dynamics achievable by nonlinear small-scale instabilities in solids and structures.

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Interaction between particles adsorbed on metal surfaces

Cited by 147 publications

References 15 publications

Phase transitions in the adsorption system Li/Mo(112)

Phase transitions in the adsorption system Li/Mo(112)

Diffusion in a strongly correlated anisotropic overlayer

Dynamics of periodic mechanical structures containing bistable elastic elements: From elastic to solitary wave propagation

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