Papers by Marek Danielewski
Generalized solution of interdiffusion problem: Optimal approach for multicomponent bounded systems
Journal of Computational Chemistry, Oct 1, 1996
Abstract Darken's phenomenological scheme for diffusion in binary systems is used for a desc... more Abstract Darken's phenomenological scheme for diffusion in binary systems is used for a description of interdiffusion in multicomponent (r≥ 2) mixtures. The mathematical model of interdiffusion in the bounded mixture (ie, layer of finite thickness) showing constant ...
Die kontinuierliche und absolute Messung des Sauerstoffdruckes im Gewebe
Pfl�gers Archiv f�r die Gesamte Physiologie des Menschen und der Tiere, 1960
... Anlegen der Polarisatiousspannung (4--8 sec) breitet sich in der Umgebung der Pt-Oberfl/~che ... more ... Anlegen der Polarisatiousspannung (4--8 sec) breitet sich in der Umgebung der Pt-Oberfl/~che eine Zone aus, aus der w/~hrend des Impulses 02 zur Pt-Oberfl/~che diffundiert. ... Die dhoekte Bestimmung des Kohlens/iuredruckes ist nach dem Prinzip yon STOW u. RANDALL ...
Influence of chemical composition of stainless steels on corrosion process in elementary sulphur vapour
Kinetics of Gaseous Corrosion Processes
Kinetic Constraints in Diffusion
Defect and Diffusion Forum, Apr 1, 2005
The Dynamics of Diffusion, Phenomenology of the Chemical Interdiffusion
Solid State Phenomena, Feb 1, 1995

Oxidation of Metals, Feb 1, 1986
The kinetics and mechanism of manganese sulfidation have been studied as a function of temperatur... more The kinetics and mechanism of manganese sulfidation have been studied as a function of temperature (673-1373 K) and sulfur vaporpressure (10-105 Pa). It has been found that the rate-determining step of a-MnS scale growth is the outward diffusion of metal. In the high-temperature range (>1000 K) coarsegrain scale is formed, and manganese diffuses in the form of Mn e+ cations and electrons via doubly ionized cation vacancies and electron holes (volume diffusion). In the low-temperature range (<800 K), on the other hand, a fine-grain scale is formed, and manganese diffuses mainly through grain boundaries, but also in the ionized form. Finally, in the intermediatetemperature range (800-1000 K) grain-boundary diffusion prevails in the initial period of the reaction, and volume diffusion predominates during the later stages, as a result of grain growth of the scale.
Entropy Production and Stress–Deformation Effect on Interdiffusion
Defect and Diffusion Forum, Apr 1, 2012

Corrosion resistance and thermal stability of sputtered Fe44Al34Ti7N15 and Al61Ti11N28 thin films for prospective application in oil and gas industry
Progress in Natural Science: Materials International, 2021
Abstract Fe-and Al-based thin-film metallic glass coatings (Fe44Al34Ti7N15 and Al61Ti11N28) were ... more Abstract Fe-and Al-based thin-film metallic glass coatings (Fe44Al34Ti7N15 and Al61Ti11N28) were fabricated using magnetron co-sputtering technique, and their corrosion performances compared against wrought 316L stainless steel. The results of GI-XRD and XPS analyses demonstrated amorphous structure and oxide layer formation on the surface of the fabricated thin films, respectively. The potentiodynamic (PD) polarization test in chloride-thiosulfate (NH4Cl + Na2S2O3) solution revealed lower corrosion current (Icorr) (0.42 ± 0.02 μA/cm2 and 0.086 ± 0.001 μA/cm2 Vs. 0.76 ± 0.05 μA/cm2), lower passivation current (Ipass) (1.45 ± 0.03 μA/cm2 and 1.83 ± 0.07 μA/cm2 Vs. 1.98 ± 0.04 μA/cm2), and approximately six-fold higher breakdown potential (Ebd) for Fe- and Al-based coatings than those of wrought 316L stainless steel. Electrochemical Impedance Spectroscopy (EIS) of both films showed 4- and 2-fold higher charge transfer resistance (Rct), 7- and 2.5-times higher film resistance (Rf), lower film capacitance values (Qf) (10 ± 2.4 μS-sacm-2, and 5.41 ± 0.8 μS-sacm-2 Vs. 18 ± 2.21 μS-sacm-2), and lower double-layer capacitance values (Qdl) (31.33 ± 4.74 μS-sacm-2, and 15.3 ± 0.48 μS-sacm-2 Vs. 43 ± 4.23 μS-sacm-2), indicating higher corrosion resistance of the thin films. Cyclic Voltammetry (CV) scan exhibited that the passive films formed on the Fe- and Al-based coatings were more stable and less prone to pitting corrosion than the wrought 316L stainless steel. The surface morphology of both films via SEM endorsed the CV scan results, showing better resistance to pitting corrosion. Furthermore, the thermal analysis via TGA and DSC revealed the excellent thermal stability of the thin films over a wide temperature range typically observed in oil-gas industries.
Selectivity and Electrochemistry of Symmetrical Ion Channels: A Three-Dimensional Nernst-Planck- Poisson Model Preferred Oral Presentation
ECS Meeting Abstracts, 2014
Inverse Method to Model EIS and to Optimize Ion-Sensor Response with Nernst-Planck-Poisson Theory
ECS Meeting Abstracts, 2009
not Available.
Defects and Diffusion in the Planck-Kleinert Crystal: The Matter, Gravity and Electromagnetism
Phenomenology of the Diffusion Controlled Reactions in Solids, High Temperature Oxidation of Metals
Solid State Phenomena, 1992
Kinetic Constraints in Diffusion
Defect and Diffusion Forum, 2005
In the presence of strong external fields and steep gradients the flux formulae are not linear. T... more In the presence of strong external fields and steep gradients the flux formulae are not linear. The relation between the flux and the diffusion coefficient must be modified. The different flux-limited theories are presented. The flux formulae for solid systems far from equilibrium are derived and different forms of phenomenological flux limiters are discussed. It is shown that in order to accurately compute diffusion flow that is generated by strong force fields and/or discontinuities, the flux-limited diffusion must be considered. The flux limiters improve the spatial accuracy and allow to avoid baseless oscillations in the solutions.

High Temperature Materials and Processes, 1992
Darken's concepts of the drifting internal frame of reference and the conservation of momentum in... more Darken's concepts of the drifting internal frame of reference and the conservation of momentum in this frame of reference are discussed in the general case of diffusional transport in n-component compound (process defined as interdiffusion). This approach results in the formulation and interpretation if i) the equation of motion in the n-component, nonuniform single phase system and ii) the equation of motion in the viscous, compressible fluid. The continuity equations in the appropriate reference frame (external or internal frame of reference), the appropriate expressions describing the fluxes (the general, diffusional and drift fluxes) and equation of motion, allow a complete quantitative description of any isothermal, diffusional transport process to be formulated. When the purely conducting term in the thermal energy flux is negligible, the derived equations and the energy conservation equation are sufficient to describe the transport The discussed phenomenology allows the quantitative data on the dynamics of the processes to be obtained within an interdiffusion zone. It also emphasizes the limited applicability of Fick's second law which can be applied in the quantitative analysis of the simplest transport processes only.
Mathematical Model of Formation and Growth of Multi-Layer Scales on Pure Metals
Defect and Diffusion Forum, 2005
The sulphidation and oxidation behaviour of sputter-deposited amorphous AlMo alloys at high temperatures
Corrosion Science, Feb 1, 1993
Abstract The sulphidation behaviour of sputter-deposited amorphous Al---Mo alloys has been studie... more Abstract The sulphidation behaviour of sputter-deposited amorphous Al---Mo alloys has been studied as a function of temperature (9731273 K) and alloy composition (3446 at% Mo) in pure sulphur vapour at 10 3 Pa pressure. It has been shown that under these ...

Quaternion Quantum Mechanics II: Unraveling the Mysteries of Gravity and Dirac Equation within the Planck-Kleinert Crystal
The correspondence between classical and quaternion quantum equations, permits considering the un... more The correspondence between classical and quaternion quantum equations, permits considering the universe (vacuum) as an ideal elastic solid. Elementary particles would have to be standing or soliton-like waves. Tension induced by the compression and twisting of the elastic medium would increase the energy density, consequently generate a gravity forcing and affect the wave speed. Consequently the gravity could be described by an index of refraction. Theory was created by combining the Cauchy model of the elastic continuum with the Planck-Kleinert crystal hypothesis. The quaternion-imaginary Lagrange’an, the quaternion motion equation and the quaternionic oscillator allowed deriving: - The Schrödinger equation from the functional integral, which identifies the quaternion-imaginary quantum Hamiltonian. - The 2nd order wave equation system describing both the bosons and the gravity in terms of quaternionic Poisson equation. - The first order quaternionic wave equation system. - The family of the second order wave equation systems describing both the particles and the generated quaternionic force-fields (four-potentials). - The fundamental Planck and gravity constants. - The quaternionic continuity equation in an ideal elastic solid.
Computer Simulations of Heterogeneous Reactions Controlled by Diffusion in Modified Aluminide Coatings on a Nickel-Based Superalloy
Solid State Phenomena, 2000
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Papers by Marek Danielewski