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  • Articles  (42)
  • nanoparticles  (15)
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  • finite element method  (13)
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  • 2000-2004  (42)
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  • Physics  (42)
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  • Articles  (42)
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  • Springer  (42)
  • American Physical Society
  • Blackwell Publishing Ltd
  • Springer Nature
  • Springer Science + Business Media
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Optical and quantum electronics 32 (2000), S. 719-734 
    ISSN: 1572-817X
    Keywords: anisotropic waveguides ; finite element method ; integrated optics ; open boundary conditions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract An efficient method to model guided and leaky modes of anisotropic dielectric waveguides with arbitratry dielectric tensor ε¯¯ is presented. This method takes advantage of a particular β-formulation approach of the finite element method (FEM), leading to an optimized use of the computational resources.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of cluster science 11 (2000), S. 405-422 
    ISSN: 1572-8862
    Keywords: palladium ; nanoparticles ; viologen ; electrochemistry ; impedance ; electron-transfer kinetics ; self-assembled monolayer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Aqueous-soluble monolayer-protected palladium nanoparticles were synthesized by hydrogen reduction of Pd(II) in a water solution. The particles were then further functionalized by incorporating multiple copies of mercapto derivatives of viologen into the particle protecting monolayers. The electrochemistry of the viologen moieties with the particles dissolved in solution or immobilized onto electrode surfaces was carefully studied using various electrochemical techniques. The particle molecular capacitance was evaluated by rotating-disk-electrode voltammetry and the electron-transfer rate constant of the particle-bound viologen moieties was estimated by impedance measurements.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Adsorption 6 (2000), S. 125-136 
    ISSN: 1572-8757
    Keywords: diffusion ; mathematical model ; analytical solution ; hollow material ; composite material ; mass transfer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract The diffusion in hollow particles of solid adsorbent materials was analyzed based on analytical solutions to the basic diffusion equation. Three geometric shapes (plane sheet, cylinder, and sphere) of sorbent material were considered for two kinds of boundary conditions. The equations for determining the equivalent sizes compared to their corresponding solid particles were obtained directly from the theoretical expressions of sorption uptake curves. Among the three hollow particles of impermeable inner surface, the sphere gives the highest gain in effective diffusion rate compared to the corresponding solid particle. For permeable inner surface, at lower hollow volume fractions, the plane sheet shows the highest gain, while at higher hollow volume fractions, the sphere shows the highest gain in effective diffusion rate.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Optical review 7 (2000), S. 383-388 
    ISSN: 1349-9432
    Keywords: near-axis scattered light ; optical computed tomography ; time-resolved measurement ; scattering ; diffusion ; random media ; visibility ; photon migration ; computed tomography ; biomedical optics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract To find a basic principle of optical computed tomography (optical CT), a fundamental study was conducted on the use of scattered light in diffuse random media. We call the scattered light that propagates along the optical axis of the incident light beam near-axis scattered light (NASL). The use of NASL for the imaging through a diffuse medium was proposed and its basic characteristics were analyzed. The existence and measurability of NASL were confirmed in the simulation and measurement. To detect NASL efficiently, a technique called the scattering angle differential technique was developed. In CT imaging with a model phantom, the feasibility and effectiveness of the proposed technique were verified. We found that this technique alone was not sufficient to obtain the cross sectional image of an animal body, therefore a technique called the contact technique was devised to overcome the problems of reflection and refraction at the air-tissue interface. Finally, a prototype system was developed which integrated all the proposed techniques. With this system, we could obtain the CT images of a living mouse, in which the blood-rich organs such as liver and kidneys were clearly recognizable.
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  • 5
    ISSN: 1349-9432
    Keywords: near infrared spectroscopy ; diffusion equation ; finite element method ; hybrid radiosity diffusion model ; topographic imaging ; photon measurement density function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An accurate modelling of light propagation in the head is required to develop an algorithm to reconstruct the image of brain activity. Most previous studies have calculated the light propagation in two dimensional models because of their advantage in computation time and memory requirement over three dimensional models. However, in topographic imaging, the sensitivity distribution in the cross sections parallel to the brain surface which cannot be obtained from a two dimensional model is most important to reconstruct the image. In this study, the light propagation in three dimensional adult head models is calculated by finite element method and hybrid radiosity-diffusion method. The light propagation in the adult head is strongly affected by the non-scattering cerebrospinal fluid (CSF) layer surrounding the brain. The sensitive area is shifted toward the deeper region, and is spread around the CSF layer. The intensely sensitive region on the brain surface is broadly distributed between the source and detector. However, the sensitive region does not penetrate into the deeper part of the brain.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Adsorption 6 (2000), S. 287-291 
    ISSN: 1572-8757
    Keywords: diffusion ; shrinking core ; rectangular isotherm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract The transient uptake response of an adsorbent particle, subjected to a step change in surface concentration, is considered. It is shown that, when the isotherm is highly favorable, the theoretical curves derived for a Langmuirian system reduce asymptotically to the much simpler form for a rectangular isotherm. The simple rectangular model provides a useful approximation even when the form of the actual isotherm is quite far from the rectangular limit.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Adsorption 6 (2000), S. 5-13 
    ISSN: 1572-8757
    Keywords: multicomponent adsorption ; diffusion ; Maxwell-Stefan model ; linear driving force approximation ; Langmuir isotherm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract An approximate rate equation based on a film-model representation of diffusional mass transfer is developed to describe the kinetics of multicomponent adsorption. The model describes mass transfer as a pseudo-steady state diffusion process through a flat film of thickness equal to one fifth of the particle radius. Starting with an irreversible thermodynamics description of multicomponent diffusion, the flux relationships are integrated across the film yielding analytical expressions for the rate of mass transfer in a multicomponent adsorption system, when adsorption equilibria are described by the extended Langmuir isotherm. The new approximate rate equation can be conveniently used in the numerical simulation of adsorption systems with concentration-dependent micropore or surface diffusivity, and describes the effects of diffusional flux coupling. Results of accuracy comparable with that obtained when using the classical linear-driving-force approximation for systems with constant diffusivities are obtained with this new rate equation for both batch and fixed-bed adsorption calculations. A generalization of the approach based on the Gibbs adsorption isotherm describes mass transfer rates in terms of the spreading-pressure gradient and provides an extension to other multicomponent isotherm forms.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 98 (2000), S. 813-834 
    ISSN: 1572-9613
    Keywords: conductance ; electron waveguide ; electron scattering ; random matrix theory ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We show that the S-matrix for electrons propagating in a waveguide has different statistical properties depending on whether the waveguide cavity shape gives rise to chaotic or integrable behavior classically. We obtain distributions of energy level spacings for integrable and chaotic billiards shaped like the waveguide cavity. We also obtain distributions for Wigner delay times and resonance widths for the waveguide, for integrable and chaotic cavity geometries. Our results, obtained by direct numerical calculation of the electron wave function, are consistent with the predictions of random matrix theory.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 99 (2000), S. 903-941 
    ISSN: 1572-9613
    Keywords: effective potential ; reaction ; diffusion ; decay
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In previous work we have developed a general method for casting stochastic partial differential equations (SPDEs) into a functional integral formalism, and have derived the one-loop effective potential for these systems. In this paper we apply the same formalism to a specific field theory of considerable interest, the reaction-diffusion-decay system. When this field theory is subject to white noise we can calculate the one-loop effective potential (for arbitrary polynomial reaction kinetics) and show that it is one-loop ultraviolet renormalizable in 1, 2, and 3 space dimensions. For specific choices of interaction terms the one-loop renormalizability can be extended to higher dimensions. We also show how to include the effects of fluctuations in the study of pattern formation away from equilibrium, and conclude that noise affects the stability of the system in a way which is calculable.
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  • 10
    ISSN: 1572-896X
    Keywords: nanoparticles ; measurements ; instrumentation ; standards ; aerosols ; colloids
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics , Technology
    Type of Medium: Electronic Resource
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