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We describe a topological mechanism for the existence of diffusing orbits in a dynamical system satisfying the following assumptions: (i) the phase space contains a normally hyperbolic invariant manifold diffeomorphic to a two-dimensional…

Dynamical Systems · Mathematics 2012-04-09 Marian Gidea , Clark Robinson

The mechanism underlying the long-range interstitial migration of nonequilibrium impurity interstitial species is used to simulate arsenic redistribution in ion implantation. An excellent agreement of the calculated arsenic concentration…

Materials Science · Physics 2015-06-11 O. I. Velichko

Ionic transport in nano- to sub-nano-scale pores is highly dependent on translocation barriers and potential wells. These features in the free-energy landscape are primarily the result of ion dehydration and electrostatic interactions. For…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 Subin Sahu , Michael Zwolak

The oxygen dissociation and the oxidized structure on the pristine C3N monolayer in exposure to air are the inevitably critical issues for the C3N engineering and surface functionalization yet have not been revealed in detail. Using the…

Materials Science · Physics 2022-12-28 Liang Zhao , Wenjin Luo , Zhijing Huang , Zihan Yan , Hui Jia , Wei Pei , Yusong Tu

Atom probe tomography (APT), electron probe microanalysis (EPMA) and nanoindentation were used to characterise the oxygen-rich layer on an in-service jet engine compressor disc, manufactured from the titanium alloy TIMETAL 834. Oxygen…

The deuterium abundances inferred from observations of the interstellar medium within 1-2 kpc of the Sun range over a factor of three and the corresponding oxygen abundances show an even larger dispersion. While the lower D (and O)…

Astrophysics · Physics 2008-11-26 Gary Steigman , Donatella Romano , Monica Tosi

We introduce a construction to embed a quasiperiodic lattice of obstacles into a single unit cell of a higher-dimensional space, with periodic boundary conditions. This construction transparently shows the existence of channels in these…

Chaotic Dynamics · Physics 2012-06-12 Atahualpa S. Kraemer , David P. Sanders

Particle transport, acceleration and energisation are phenomena of major importance for both space and laboratory plasmas. Despite years of study, an accurate theoretical description of these effects is still lacking. Validating models with…

Topotactic transition is a structural phase change in a matrix crystal lattice mediated by the ordered loss/gain and rearrangement of atoms, leading to unusual coordination environments and metal atoms with rare valent states. As early as…

Materials Science · Physics 2023-05-29 Ziang Meng , Han Yan , Peixin Qin , Xiaorong Zhou , Xiaoning Wang , Hongyu Chen , Li Liu , Zhiqi Liu

Constant flux atom deposition into a porous medium is shown to generate a dense overlayer and a diffusion profile. Scaling analysis shows that the overlayer acts as a dynamic control for atomic diffusion in the porous substrate. This is…

The temperature-dependent diffusion coefficients of interstitial helium atom in $\alpha$-Ti are predicted using the transition state theory. The microscopic parameters in the pre-factor and activation energy of the impurity diffusion…

Materials Science · Physics 2015-06-16 Yong Lu , Fawei Zheng , Ping Zhang

Solid-state ionic conduction is a key enabler of electrochemical energy storage and conversion. The mechanistic connections between material processing, defect chemistry, transport dynamics, and practical performance are of considerable…

Materials Science · Physics 2022-08-04 Andrey D. Poletayev , James A. Dawson , M. Saiful Islam , Aaron M. Lindenberg

Highly energetic ions that impact materials have applications from semiconductor industry to medicine, and are fundamentally interesting as they trigger multi-length and time-scale processes. In particular, they excite electrons into…

Materials Science · Physics 2025-07-24 Cheng-Wei Lee , André Schleife

Ionic liquid (IL) gating has emerged as a powerful tool to control the structural, electronic, optical, and magnetic properties of materials by driving ion motion at solid interfaces. In magneto-ionic systems, electric fields are used to…

We consider bosonic atoms in an optical lattice at integer filling, tuned to the superfluid-Mott insulator critical point, and coupled to a single, mobile impurity atom of a different species. This setup is inspired by current experiments…

Quantum Gases · Physics 2015-06-12 Matthias Punk , Subir Sachdev

Cubic yttria-stabilized zirconia is widely used in industrial electrochemical devices. While its fast oxygen ion diffusion is well understood, why cation diffusion is much slower-its activation energy (~5 eV) is 10 times that of anion…

Materials Science · Physics 2017-04-24 Yanhao Dong , Liang Qi , Ju Li , I-Wei Chen

We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of…

Mathematical Physics · Physics 2015-06-12 Raphael Lefevere

In many physical applications solitons propagate on supports whose topological properties may induce new and interesting effects. In this paper, we investigate the propagation of solitons on chains with a topological inhomogeneity generated…

Pattern Formation and Solitons · Physics 2009-11-11 R. Burioni , D. Cassi , P. Sodano , A. Trombettoni , A. Vezzani

Oxygen migration in silicon corresponds to an apparently simple jump between neighboring bridge sites. Yet, extensive theoretical calculations have so far produced conflicting results and have failed to provide a satisfactory account of the…

Condensed Matter · Physics 2009-10-28 Madhavan Ramamoorthy , Sokrates T. Pantelides

We investigate a contaminant transport in fractal media with randomly inhomogeneous diffusion barrier. The diffusion barrier is a low permeable matrix with extremely rare high permeability pathways (punctures). At times, less than a…

Soft Condensed Matter · Physics 2013-08-12 Olga Dvoretskaya , Peter Kondratenko
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