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The porosities and tortuosities are commonly utilized to characterize the microstructure of a Li-ion battery's separator and are adopted as key input parameters in advanced battery models. Herein, a general classification of the tortuosity…

Applied Physics · Physics 2024-07-30 Wei Sun , Q. M. Li , Ping Xiao , Paola Carbone

Next generation batteries based on lithium (Li) metal anodes have been plagued by the dendritic electrodeposition of Li metal on the anode during cycling, resulting in short circuit and capacity loss. Suppression of dendritic growth through…

Using Li clusters, a prototype of simple metals, as a test case, we theoretically find that metal clusters can mimic the behavior of simple molecules in electronic shells. It is found that Li14, Li10, and Li8 clusters are exact analogues of…

Atomic and Molecular Clusters · Physics 2015-06-04 Longjiu Cheng , Jinlong Yang

A theory for an electron affinity of ionic clusters is proposed both in a quasiclassical approach and with quantization of a polarization electric field in a nanoparticle. An interaction of an electron with longitudinal optical phonons in…

Mesoscale and Nanoscale Physics · Physics 2012-11-27 K. V. Grigorishin , B. I. Lev

We review recent ab initio molecular dynamics studies of electrode/electrolyte interfaces in lithium ion batteries. Our goals are to introduce experimentalists to simulation techniques applicable to models which are arguably most faithful…

Materials Science · Physics 2013-04-23 Kevin Leung

The electronic behavior of various solid metals (Al, Ni, Cu, Au, Ti, and W) under ultrashort laser irradiation is investigated by means of density functional theory. Successive stages of extreme nonequilibrium on picosecond time scale…

Materials Science · Physics 2014-04-04 Emile Bévillon , Jean-Philippe Colombier , Vanina Recoules , Razvan Stoian

The measurement of the electronic structure of metal alloys is hampered by the in-applicability of conventional quantum oscillation measurements owing to electron scattering by thermal or alloy disorder. Recent advancements in the study of…

Materials Science · Physics 2025-02-10 Jonathan Paras , Antoine Allanore

We formulate the continuum field equations and constitutive equations that govern deformation, stress, and electric current flow in a Li-ion half-cell. The model considers mass transport through the system, deformation and stress in the…

Computational Physics · Physics 2011-08-01 Allan F. Bower , Pradeep R. Guduru , Vijay A. Sethuraman

We study a model for lithium (Li) electrodeposition on Li-metal electrodes that leads to dendritic pattern formation. The model comprises of a system of three coupled PDEs, taking the form of an Allen--Cahn equation, a Nernst--Planck…

Analysis of PDEs · Mathematics 2025-12-18 Omar Lakkis , Alexandros Skouras , Vanessa Styles

Strength, ductility, and failure properties of metals are tailored by plastic deformation routes. Predicting these properties requires modeling of the structural dynamics and stress evolution taking place on several length scales. Progress…

The interplay of interactions and disorder is studied using the Anderson-Hubbard model within the typical medium dynamical cluster approximation. Treating the interacting, non-local cluster self-energy ($\Sigma_c[{\cal \tilde{G}}](i,j\neq…

Disordered Systems and Neural Networks · Physics 2015-12-02 C. E. Ekuma , S. -X. Yang , H. Terletska , K. -M. Tam , N. S. Vidhyadhiraja , J. Moreno , M. Jarrell

The magnetic deformation of the Ising Model, the thermal deformations of both the Tricritical Ising Model and the Tricritical Potts Model are governed by an algebraic structure based on the Dynkin diagram associated to the exceptional…

High Energy Physics - Theory · Physics 2015-06-26 C. Acerbi , G. Mussardo , A. Valleriani

Tensor eigenvalues and eigenvectors have been introduced in the recent mathematical literature as a generalization of the usual matrix eigenvalues and eigenvectors. We apply this formalism to a tensor that describes a multipartite symmetric…

Quantum Physics · Physics 2016-10-26 Fabian Bohnet-Waldraff , Daniel Braun , Olivier Giraud

This study is concerned with modeling detrimental deformations of the binder phase within lithium-ion batteries that occur during cell assembly and usage. A two-dimensional poroviscoelastic model for the mechanical behavior of porous…

Fluid Dynamics · Physics 2018-01-17 Jamie M. Foster , S. Jon Chapman , Giles Richardson , Bartosz Protas

Shell structure in the single particle spectrum of deformed harmonic oscillator potentials when a term proportional to $(\vec L)^2$ is added is analyzed for a large particle number. A scaling law which gives a dividing line between regular…

Condensed Matter · Physics 2009-10-30 W. D. Heiss , R. G. Nazmitdinov

We present calculations on the deformation of two- and three-layer electret systems. The electrical field is coupled with the stress-strain equations by means of the Maxwell stress tensor. In the simulations, two-phase systems are…

Materials Science · Physics 2007-05-23 Enis Tuncer , Michael Wegener , Reimund Gerhard-Multhaupt

This paper focuses on the development of the atomistic framework for determining the lower scale mechanical parameters of single components of a metal matrix composite for final application to a micromechanical damage model. Here, the…

Materials Science · Physics 2024-03-11 Marcin Maździarz , Szymon Nosewicz

Covalent molecules are characterized by directed bonds, which provide stability-of-form to the molecules relative atomic positions. In contrast, bulk metals are characterized by delocalized bonds, where a large number of resonance…

Mesoscale and Nanoscale Physics · Physics 2013-05-27 Harsh Deep Chopra , J. N. Armstrong , Susan Z. Hua

When the electron density of highly crystalline thin films is tuned by chemical doping or ionic liq- uid gating, interesting effects appear including unconventional superconductivity, sizeable spin-orbit coupling, competition with…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 G. Dezi , N. Scopigno , S. Caprara , M. Grilli

The entanglement properties of two-electron atomic systems have been the subject of considerable research activity in recent years. These studies are still somewhat fragmentary, focusing on numerical computations on particular states of…

Quantum Physics · Physics 2015-06-11 A. P. Majtey , A. R. Plastino , J. S. Dehesa