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We report and classify the rich variety of patterns forming spontaneously in the oxide layer during the oscillatory photoelectrodissolution of n-type doped silicon electrodes under limited illumination. Remarkably, these patterns are often…

Pattern Formation and Solitons · Physics 2014-06-16 Konrad Schoenleber , Carla Zensen , Andreas Heinrich , Katharina Krischer

The photoelectrodissolution of n-type silicon constitutes a convenient model system to study the nonlinear dynamics of oscillatory media. On the silicon surface, a silicon oxide layer forms. In the lateral direction, the thickness of this…

Pattern Formation and Solitons · Physics 2016-12-21 Lennart Schmidt , Konrad Schönleber , Vladimir García-Morales , Katharina Krischer

When Si is anodically oxidized in a fluoride containing electrolyte, an oxide layer is grown. Simultaneously, the layer is etched by the fluoride containing electrolyte. The resulting stationary state exhibits a negative slope of the…

Mechanical spectroscopy, i.e. cyclic deformations at varying frequencies, is used theoretically and numerically to measure dissipation in model glasses. From a normal mode analysis, we show that in the high-frequency THz regime where…

Materials Science · Physics 2017-02-22 T. Damart , A. Tanguy , D. Rodney

Silicon together with its native oxide SiO$_2$ was recognized as an outstanding material system for the semiconductor industry in the 1950s. In state-of-the-art device technology, SiO$_2$ is widely used as an insulator in combination with…

We introduce two time-delay models of metabolic oscillations in yeast cells. Our model tests a hypothesis that the oscillations occur as multiple pathways share a limited resource which we equate to the number of available ribosomes. We…

Dynamical Systems · Mathematics 2023-12-07 Max M. Chumley , Firas A. Khasawneh , Andreas Otto , Tomas Gedeon

Attosecond dynamics of electron reflection from a thin film is studied based on a one-dimensional jellium model. Following the Eisenbud-Wigner-Smith concept, the reflection time delay $\Delta\tau_{\rm R}$ is calculated as the energy…

Materials Science · Physics 2025-06-10 R. O. Kuzian , E. E. Krasovskii

We study the loss of coherence of electrochemical oscillations on meso- and nanosized electrodes with numeric simulations of the electrochemical master equation for a prototypical electrochemical oscillator, the hydrogen peroxide reduction…

Adaptation and Self-Organizing Systems · Physics 2017-06-29 Filippo G. Cosi , Katharina Krischer

In-depth understanding of the retarded oxidation phenomenon observed during the oxidation of silicon nanostructures is proposed. The wet thermal oxidation of various silicon nanostructures such as nanobeams, concave/convex nanorings and…

Materials Science · Physics 2012-07-11 C. Krzeminski , X. -L. Han , G. Larrieu

Silicon presents itself as a high-capacity anode material for lithium-ion batteries with a promising future. The high ability for lithiation comes along with massive volume changes and a problematic voltage hysteresis, causing reduced…

Materials Science · Physics 2024-08-05 Lukas Köbbing , Yannick Kuhn , Birger Horstmann

Recent advances in electron microscopy trigger the question whether attosecond electron diffraction can resolve atomic-scale electron dynamics in crystalline materials in space and time. Here we explore the physics of the relevant…

Atomic Physics · Physics 2026-05-08 Yuya Morimoto , Peter Baum

The electrodissolution of p-type silicon in a fluoride-containing electrolyte is a prominent electrochemical oscillator with a still unknown oscillation mechanism. In this article, we present a study of its dynamical states occurring in a…

Adaptation and Self-Organizing Systems · Physics 2019-05-29 Anton Tosolini , Maximilian Patzauer , Katharina Krischer

Silicon (Si) is one of the most abundant elements on Earth, and it is the most important and widely used semiconductor, constituting the basis of modern electronic devices. Despite extensive study, some properties of Si remain elusive. For…

Non-linear behavior in interstellar chemical models has been recognized for 25 years now. Different mechanisms account for the possibility of multiple fixed-points at steady state, characterized by the ionization degree of the gas. Chemical…

Astrophysics of Galaxies · Physics 2020-11-11 Evelyne Roueff , Jacques Le Bourlot

The ordering of a multilayer consisting of DSPC bilayers on a silica sol substrate is studied within the model-independent approach to the reconstruction of profiles of the electron density from X-ray reflectometry data. It is found that…

We study the response of a model micro-electrochemical cell to a large ac voltage of frequency comparable to the inverse cell relaxation time. To bring out the basic physics, we consider the simplest possible model of a symmetric binary…

Fluid Dynamics · Physics 2013-12-12 Laurits H. Olesen , Martin Z. Bazant , Henrik Bruus

Elastic interactions arising from a difference of lattice spacing between two coherent phases can have a strong influence on the phase separation (coarsening) of alloys. If the elastic moduli are different in the two phases, the elastic…

Mathematical Physics · Physics 2015-06-26 P. Fratzl , O. Penrose , J. L. Lebowitz

Analysis of lithiation and delithiation kinetics in pulse-laser-deposited crystalline thin-film silicon (Si) electrodes is presented. Data from open-circuit relaxation experiments are used in conjunction with a model based on Tafel kinetics…

Materials Science · Physics 2013-01-04 Vijay A. Sethuraman , Venkat Srinivasan , John Newman

We consider the motion of ballistic electrons in a miniband of a semiconductor superlattice (SSL) under the influence of an external, time-periodic electric field. We use the semi-classical balance-equation approach which incorporates…

Self-excited systems arise in many applications, such as biochemical systems, mechanical systems with fluid-structure interaction, and fuel-driven systems with combustion dynamics. This paper presents a Lur'e model that exhibits biased…

Adaptation and Self-Organizing Systems · Physics 2020-03-10 Juan Paredes , Syed Aseem Ul Islam , Omran Kouba , Dennis S. Bernstein
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