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We present a general theoretical formulation, based on nonequilibrium Green's functions, for nonlinear DC transport in multi-probe mesoscopic conductors. The theory is gauge invariant and is useful for the predictions of current-voltage…

Condensed Matter · Physics 2009-10-31 Baigeng Wang , Jian Wang , Hong Guo

We model electronic transport through a double quantum wire in an external homogeneous perpendicular magnetic field using a scattering formalism built on the Lippmann-Schwinger equation. In the scattering region a window is opened between…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vidar Gudmundsson , Chi-Shung Tang

We present the most complete scattering theory for noise in noninteracting case. The exact formula for spectral density of current fluctuations at finite frequency is presented in terms of scattering matrix for a coherent quantum conductor.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. B. Lesovik

We present a theory for Coulomb drag between two mesoscopic systems which expresses the drag in terms of scattering matrices and wave functions. The formalism can be applied to both ballistic and disordered systems and the consequences can…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels Asger Mortensen , Karsten Flensberg , Antti-Pekka Jauho

A general law for electromagnetic induction phenomena is derived from Lorentz force and Maxwell equation connecting electric field and time variation of magnetic field. The derivation provides with a unified mathematical treatment the…

Classical Physics · Physics 2007-05-23 Giuseppe Giuliani

We extend the Landauer-B\"uttiker probe formalism for conductances to the high bias regime, and study the effects of environmentally-induced elastic and inelastic scattering on charge current in single molecule junctions, focusing on…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Michael Kilgour , Dvira Segal

Spin-motive force, i.e., the electric current induced by magnetization dynamics, is theoretically studied beyond the Thouless-pump paradigm. In contrast to the linear-response regime, where the induced current is purely AC, we show that…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 Tomonari Meguro , Hiroaki Ishizuka , Kentaro Nomura

Cosmic magnetic structures have in common that they are anchored in a dynamo, that an external driver converts kinetic energy into internal magnetic energy, that this magnetic energy is transported as Poynting flux across the magnetically…

High Energy Astrophysical Phenomena · Physics 2014-03-05 Jan Kuijpers , Harald U. Frey , Lyndsay Fletcher

Condensed ionic systems are described in the framework of a combined approach that takes into account both long-range and short-range interactions. Short-range interaction is expressed in terms of mean potentials and long-range interaction…

Statistical Mechanics · Physics 2019-10-03 G. Bokun , I. Kravtsiv , M. Holovko , V. Vikhrenko , D. di Caprio

We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt

I derive a general set of boundary conditions for quasiclassical transport theory of metals and superconductors that is valid for equilibrium and non-equilibrium situations and includes multi-band systems, weakly and strongly spin-polarized…

Superconductivity · Physics 2011-09-22 Matthias Eschrig

Superexponential systems are characterized by a potential where dynamical degrees of freedom appear in both the base and the exponent of a power law. We explore the scattering dynamics of many-body systems governed by superexponential…

Classical Physics · Physics 2021-05-25 Peter Schmelcher

A general proof of the optical theorem (also known as the optical cross-section theorem) is presented that reveals the intimate connection between the forward scattering amplitude and the absorption-plus-scattering of the incident wave…

Classical Physics · Physics 2012-05-28 Masud Mansuripur

A model to study two-proton emission processes induced by electron scattering is developed. The process is induced by one-body electromagnetic operators acting together with short-range correlations, and by two-body $\Delta$ currents. The…

Nuclear Theory · Physics 2008-11-26 Marta Anguiano , Giampaolo Co' , Antonio M. Lallena

We present a theoretical framework for electromagnetic scattering by particles with a permittivity that is periodically varying in time, based on a perturbative approach. Within this framework, we derive explicit expressions for the…

The implications of the Lorentz reciprocity theorem for a scatterer connected to waveguides with arbitrary modes, including degenerate, evanescent, and complex modes, are discussed. In general it turns out that a matrix $CS$ is symmetric,…

Optics · Physics 2015-06-12 Guro K. Svendsen , Magnus W. Haakestad , Johannes Skaar

We formulate a quasiclassical theory ($\omega_c\tau \lesssim 1$ with $\omega_c$ as the cyclotron frequency and $\tau$ as the relaxation time) to study the influence of magnetic field on electron-impurity scattering process in the…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 Jingjing Feng , Cong Xiao , Yang Gao , Qian Niu

We consider the classical ballistic dynamics of massless electrons on the conducting surface of a three-dimensional topological insulator, influenced by random variations of the surface height. By solving the geodesic equation and the…

Mesoscale and Nanoscale Physics · Physics 2010-08-18 J. P. Dahlhaus , C. -Y. Hou , A. R. Akhmerov , C. W. J. Beenakker

We consider the scattering theory for the defocusing energy subcritical wave equations with an inverse square potential. By employing the energy flux method we establish energy flux estimates on the light cone. Then by the characteristic…

Analysis of PDEs · Mathematics 2024-04-23 Changxing Miao , Ruipeng Shen , Tengfei Zhao

We consider a classical problem about dynamic instability that leads to the Langmuir circulation. The problem statement assumes that there is initially a wind-driven shear flow and a plane surface wave propagating in the direction of the…

Fluid Dynamics · Physics 2024-04-26 S. S. Vergeles , I. A. Vointsev