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We theoretically study the electrical, thermal and thermoelectric transport properties of graphene nanoribbons under torsional deformations. The modelling follows a nonequilibrium Green's function approach in the ballistic transport regime,…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Aleandro Antidormi , Miquel Royo , Riccardo Rurali

Spin and charge-current dynamics after ultrafast spin-polarized excitation in a normal metal are studied theoretically using a wave-diffusion theory. It is shown analytically how this macroscopic approach correctly describes the ballistic…

Materials Science · Physics 2011-11-22 Steffen Kaltenborn , Yao-Hui Zhu , Hans Christian Schneider

The response of a model micro-electrochemical system to a time-dependent applied voltage is analyzed. The article begins with a fresh historical review including electrochemistry, colloidal science, and microfluidics. The model problem…

Soft Condensed Matter · Physics 2009-11-10 Martin Z. Bazant , Katsuyo Thornton , Armand Ajdari

We study the coherence of transport of an overdamped Brownian particle in frictional ratchet system in the presence of external Gaussian white noise fluctuations. The analytical expressions for the particle velocity and diffusion…

Statistical Mechanics · Physics 2009-11-11 Raishma Krishnan , Debasis Dan , A. M. Jayannavar

We present a theory of effective electrostatic interactions in polydisperse suspensions of charged macroions, generalizing to mixtures a theory previously developed for monodisperse suspensions. Combining linear response theory with a…

Soft Condensed Matter · Physics 2013-08-20 Jun Kyung Chung , Alan R. Denton

Bandstructure effects in PMOS transport of strongly quantized silicon nanowire field-effect-transistors (FET) in various transport orientations are examined. A 20-band sp3d5s* spin-orbit-coupled (SO) atomistic tight-binding model coupled to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Neophytos Neophytou , Abhijeet Paul , Gerhard Klimeck

Presented here is a nanowire model, consisting of coupled elastic membranes with the purpose of investigating thermal transport in quasi-one-dimensional quantum systems. The vibrations of each elastic membrane are quantized and the flow of…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Julian A Lawn , Daniel S Kosov

We investigate a recombination-drift-diffusion model coupled to Poisson's equation modelling the transport of charge within certain types of semiconductors. In more detail, we study a two-level system for electrons and holes endowed with an…

Analysis of PDEs · Mathematics 2021-11-24 Klemens Fellner , Michael Kniely

A paradigm model is suggested for describing the diffusive limit of trajectories of two Lorentz disks moving in a finite horizon periodic configuration of smooth, strictly convex scatterers and interacting with each other via elastic…

Mathematical Physics · Physics 2010-08-06 Zsolt Pajor-Gyulai , Domokos Szász

Heat transport in nanoscale systems is both hard to measure microscopically, and hard to interpret. Ballistic and diffusive heat flow coexist, adding confusion. This paper looks at a very simple case: a nanoscale crystal repeated…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Philip B. Allen

In this paper, a thermal-dynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted diffusion problem where the flux across the interface…

Numerical Analysis · Mathematics 2022-06-15 Yuzhe Qin , Huaxiong Huang , Yi Zhu , Chun Liu , Shixin Xu

We consider models of quasi-1-d, planar atomic wires consisting of several, laterally coupled rows of atoms, with mutually non-interacting electrons. This electronic wire system is coupled to phonons, corresponding, e.g., to some substrate.…

Mesoscale and Nanoscale Physics · Physics 2011-12-23 Christian Bartsch , Jochen Gemmer

Explicit energy-transport equations for the spinorial carrier transport in ferromagnetic semiconductors are calculated from a general spin energy-transport system that was derived by Ben Abdallah and El Hajj from a spinorial Boltzmann…

Analysis of PDEs · Mathematics 2016-04-20 Ansgar Jüngel , Polina Shpartko , Nicola Zamponi

We present a calculation of the lattice thermal conductivity of Si-Ge nanowires (NWs), based on solving the Boltzmann transport equation by the Monte Carlo method of sampling the phonon mean free paths. We augment the previous work with the…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 M. Upadhyaya , Z. Aksamija

This work presents transport coefficients of electrons (bulk drift velocity, longitudinal diffusion coefficient, and effective ionization frequency) in CO2 measured under time-of-flight conditions over a wide range of the reduced electric…

Plasma Physics · Physics 2017-05-24 M. Vass , I. Korolov , D. Loffhagen , N. Pinhao , Z. Donko

We develop an electron transport theory for the hybrid system of a semiconducting carbon nanotube that encapsulates a one-atom-thick metallic wire. The theory predicts Fano resonances in electron transport through the system, whereby the…

Mesoscale and Nanoscale Physics · Physics 2016-05-10 M. F. Gelin , I. V. Bondarev

We consider a coupled system of Navier-Stokes and Nernst-Planck equations, describing the evolution of the velocity and the concentration fields of dissolved constituents in an electrolyte solution. Motivated by recent applications in the…

Analysis of PDEs · Mathematics 2012-06-12 Dieter Bothe , André Fischer , Jürgen Saal

An approach is presented for the atomistic study of phonon transport in real dielectric nanowires via Green functions. The formalism is applied to investigate the phonon flow through nanowires coated by an amorphous material. Examples for a…

Materials Science · Physics 2007-05-23 N. Mingo , Liu Yang

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Pier A. Mello , Miztli Yépez

From the smallest biological systems to the largest cosmological structures, spatial domains undergo expansion and contraction. Within these growing domains, diffusive transport is a common phenomenon. Mathematical models have been widely…

Populations and Evolution · Quantitative Biology 2023-06-27 Stuart T. Johnston , Matthew J. Simpson