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Related papers: Microscopic theory of ionic motion in solids

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A paradigm for isothermal, mechanical rectification of stochastic fluctuations is introduced in this paper. The central idea is to transform energy injected by random perturbations into rigid-body rotational kinetic energy. The prototype…

Probability · Mathematics 2007-10-18 Nawaf Bou-Rabee , Houman Owhadi

It is known that the ionic conductivity can be obtained by using the diffusion constant and the Einstein relation. We derive it here by extracting it from the steady electric current which we calculate in three ways, using statistics…

Statistical Mechanics · Physics 2016-07-26 Yong-Jun Zhang

Ionic conductors have great potential for interesting tunable physical properties via ionic liquid gating and novel energy storage applications such as all-solid-state lithium batteries. In particular, low migration barriers and high…

Materials Science · Physics 2024-12-12 Xin Chen , Xixiang Zhang , Jie-Xiang Yu , Jiadong Zang

We make use of continuum elasticity theory to investigate the collective modes that propagate along the edge of a two-dimensional electron liquid or crystal in a magnetic field. An exact solution of the equations of motion is obtained with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Irene D'Amico , Giovanni Vignale

We present a scaling description of a metal-insulator transition in two-dimensional electron systems that is driven by a vanishing compressibility rather than a vanishing diffusion coefficient. A small set of basic assumptions leads to a…

Strongly Correlated Electrons · Physics 2016-12-06 D. Belitz , T. R. Kirkpatrick

We generalize, and then use, a recently introduced formalism to study thermal fluctuations of atomic displacements in several two and three dimensional crystals. We study both close packed as well as open crystals with multi atom bases.…

Statistical Mechanics · Physics 2019-09-18 Pankaj Popli , Sayantani Kayal , Peter Sollich , Surajit Sengupta

A transport theory for atomic matter waves in low-dimensional waveguides is outlined. The thermal fluctuation spectrum of magnetic near fields leaking out of metallic microstructures is estimated. The corresponding scattering rate for…

Quantum Physics · Physics 2015-06-26 C. Henkel , S. Potting

We study the dynamics of small fluctuations about the uniform state of a crystal moving through a dissipative medium, e.g. a sedimenting colloidal crystal or a moving flux lattice, using a set of continuum equations for the displacement…

Condensed Matter · Physics 2009-10-28 Rangan Lahiri , Sriram Ramaswamy

We have examined the electrical transport in disordered molecular solids. It has been found that mobility is a function of electric field and temperature due to hopping conduction. Several theoretical models for charge transport in…

Materials Science · Physics 2007-05-23 Ajit Kumar Mahapatro , Subhasis Ghosh

Inhomogeneity of ion correlation widely exists in many physicochemical, soft matter, and biological systems. Here, we apply the modified Gaussian renormalized fluctuation theory to study the classic example of the vapor-liquid interface of…

Soft Condensed Matter · Physics 2022-11-22 Nikhil R. Agrawal , Rui Wang

We study the fluctuation-dissipation theorem for a Brownian particle driven into a nonequilibrium steady state experimentally. We validate two different theoretical variants of a generalized fluctuation-dissipation theorem. Furthermore, we…

Soft Condensed Matter · Physics 2015-05-18 Jakob Mehl , Valentin Blickle , Udo Seifert , Clemens Bechinger

Discrete models of dislocations in cubic crystal lattices having one or two atoms per unit cell are proposed. These models have the standard linear anisotropic elasticity as their continuum limit and their main ingredients are the elastic…

Materials Science · Physics 2009-11-13 L. L. Bonilla , A. Carpio , I. Plans

The characterization of the formation mechanisms of amorphous solids is a large avenue for research, since understanding its non-Arrhenius behavior is challenging to overcome. In this context, we present one path toward modeling the…

The method of molecular dynamics is used to study behavior of a ultracold non-ideal ion-electron Be plasma in a uniform magnetic field. Our simulations yield an estimate for the rate of electron-ion collisions which is…

Plasma Physics · Physics 2018-01-17 I. L. Isaev , A. P. Gavriliuk

This is an early but comprehensive review of the PNP Poisson Nernst Planck theory of ion channels. Extensive reference is made to the earlier literature. The starting place for this theory of open channels is a theory of electrodiffusion…

Biomolecules · Quantitative Biology 2010-09-16 Bob Eisenberg

The phase behaviour and dynamics of molecular ionic liquids are studied using primitive models and extensive computer simulations. The models account for size disparity between cation and anion, charge location on the cation, and…

Soft Condensed Matter · Physics 2012-02-23 G. C. Ganzenmüller , P. J. Camp

This paper reviews some selected approaches to the description of transport properties, mainly electroconductivity, in crystalline and disordered metallic systems. A detailed qualitative theoretical formulation of the electron transport…

Statistical Mechanics · Physics 2011-09-27 A. L. Kuzemsky

Recent progress in approaches to determine the elastic constants of solids starting from the microscopic particle interactions is reviewed. On the theoretical side, density functional theory approaches are discussed and compared to more…

Statistical Mechanics · Physics 2013-01-07 Matthias Fuchs

The design of polycrystalline alloys hinges on a predictive understanding of the interaction between the diffusing solutes and the motion of the constituent crystalline interfaces. Existing frameworks ignore the dynamic multiplicity of and…

Materials Science · Physics 2020-04-07 Changjian Wang , Moneesh Upmanyu

We study the compaction and mobility properties of a dense granular material under weak random vibration. By putting in direct contact millimetric glass beads with piezoelectric transducers we manage to inject energy to the system in a…

Soft Condensed Matter · Physics 2007-05-23 G. Caballero , J. Lanuza , E. Clement