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The intrinsic dynamical complexity of classically chaotic systems enforces a universal description of the transport properties of their wave-mechanical analogues. These universal rules have been established within the framework of linear…

Optics · Physics 2023-01-02 Cheng-Zhen Wang , Rodion Kononchuk , Ulrich Kuhl , Tsampikos Kottos

We obtain and analyze equations determining first-order differential symmetry operators with matrix coefficients for the Dirac equation with an external electromagnetic potential in a $(2+1)$-dimensional Riemann (curved) spacetime.…

Mathematical Physics · Physics 2018-02-01 A. V. Shapovalov , A. I. Breev

This letter investigates dynamical optimal transport of underactuated linear systems over an infinite time horizon. In our previous work, we proposed to integrate model predictive control and the celebrated Sinkhorn algorithm to perform…

Optimization and Control · Mathematics 2023-08-16 Kaito Ito , Kenji Kashima

In this work we exploit the integrability of the two-lead Anderson model to compute transport properties of a quantum dot, in and out of equilibrium. Our method combines the properties of integrable scattering together with a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Robert Konik , Hubert Saleur , Andreas Ludwig

In this paper, we investigate a sequentially decoupled numerical method for solving the fully coupled quasi-static thermo-poroelasticity problems with nonlinear convective transport. The symmetric interior penalty discontinuous Galerkin…

Numerical Analysis · Mathematics 2025-09-09 Fan Chen , Ming Cui , Chenguang Zhou

We study transport in topologically disordered networks that are subjected to an environment that induces classical diffusion. The dynamics is phenomenologically described within the framework of the recently introduced quantum stochastic…

Quantum Physics · Physics 2012-05-22 Petrus Schijven , Johannes Kohlberger , Alexander Blumen , Oliver Muelken

On the basis of the method of iterative summation of path integrals (ISPI), we develop a numerically exact transfer-matrix method to describe the nonequilibrium properties of interacting quantum-dot systems. For this, we map the ISPI scheme…

Mesoscale and Nanoscale Physics · Physics 2022-11-01 Simon Mundinar , Alexander Hahn , Jürgen König , Alfred Hucht

We develop an effective medium model of thermal conductivity that accounts for both percolation and interface scattering. This model accurately explains the measured increase and decrease of thermal conductivity with loading in composites…

Mesoscale and Nanoscale Physics · Physics 2016-10-06 Brian A. Slovick , Srini Krishnamurthy

Topological insulators and semimetals have been shown to possess intriguing thermoelectric properties promising for energy harvesting and cooling applications. However, thermoelectric transport associated with the Fermi arc topological…

We study the Dirac quasiparticles in $d$-dimensional lattice systems of electrons in the presence of domain walls ($d=1$), vortices ($d=2$), or hedgehogs ($d=3$) of superconducting and/or insulating, order parameters, which appear as mass…

Mesoscale and Nanoscale Physics · Physics 2012-02-16 Igor F. Herbut

We perform the asymptotic analysis of parabolic equations with stiff transport terms. This kind of problem occurs, for example, in collisional gyrokinetic theory for tokamak plasmas, where the velocity diffusion of the collision mechanism…

Analysis of PDEs · Mathematics 2015-12-15 Thomas Blanc , Mihai Bostan , Franck Boyer

Neutron and X-ray reflectometry are important methods for studying thin multilayer systems. The Parratt method and the method of characteristic matrices, also referred to as transfer matrices, are used for simulation, evaluation of…

Other Condensed Matter · Physics 2026-03-09 Szilárd Sajti , László Deák

We theoretically study a tunneling effect in a two-dimensional Dirac semimetal with two Dirac points protected by non-symmorphic symmetries. The tunnel barrier can be arranged by a magnetic exchange potential which opens a gap at the Dirac…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Tetsuro Habe

We present a domain decomposition approach for the simulation of charge transport in heterojunction semiconductors. The problem is characterized by a large variation of primary variables across an interface region of a size much smaller…

Computational Physics · Physics 2014-12-30 Timothy Costa , David Foster , Malgorzata Peszynska

In conductor-insulator composites in which the conducting particles are dispersed in an insulating continuous matrix the electrical connectedness is established by interparticle quantum tunneling. A recent formulation of the transport…

Disordered Systems and Neural Networks · Physics 2015-05-20 B. Nigro , G. Ambrosetti , C. Grimaldi , T. Maeder , P. Ryser

This paper investigates a practical partially-connected hybrid beamforming transmitter for integrated sensing and communication (ISAC) with distortion from nonlinear power amplification. For this ISAC system, we formulate a communication…

Signal Processing · Electrical Eng. & Systems 2025-07-21 Zeyuan Zhang , Yue Xiu , Phee Lep Yeoh , Guangyi Liu , Zixing Wu , Ning Wei

Magnetoresistance in many samples of Dirac semimetal and topological insulator displays non-monotonic behaviors over a wide range of magnetic field. Here a formula of magnetoconductivity is presented for massless and massive Dirac fermions…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Bo Fu , Huan-Wen Wang , Shun-Qing Shen

Diffusion of particles through an heterogenous obstacle line is modeled as a two-dimensional diffusion problem with a one--directional nonlinear convective drift and is examined using two-scale asymptotic analysis. At the scale where the…

Analysis of PDEs · Mathematics 2018-04-24 Emilio N. M. Cirillo , Ida de Bonis , Adrian Muntean , Omar Richardson

A symmetric boundary integral formulation for the transient scattering of acoustic waves off homogeneous and isotropic elastic obstacles is analyzed. Both the acoustic scattered field and the elastodynamic excited field are represented…

Numerical Analysis · Mathematics 2025-08-19 Tonatiuh Sánchez-Vizuet

It has been recently established that transport measurements in the nonlinear regime can give direct access to the quantum metric (QM): the real part of the quantum geometric tensor characterizing the geometry of the electronic…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Maria Teresa Mercaldo , Mario Cuoco , Carmine Ortix
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