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The single-particle Green's function (GF) of mesoscopic structures plays a central role in mesoscopic quantum transport. The recursive GF technique is a standard tool to compute this quantity numerically, but it lacks physical transparency…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Shu-Hui Zhang , Wen Yang , Kai Chang

We analyze the friction force exerted on a small probe particle sliding over an atomic-scale surface by means of a Green-Kubo relation and classical Molecular Dynamics simulations. We find that, on the atomic scale, the friction tensor can…

Statistical Mechanics · Physics 2020-06-17 Miru Lee , Richard L. C. Vink , Matthias Krüger

Thermal fluctuations of the Josephson current $I$ induced by the magnetic flux through a ring of $N$ superconducting grains are studied. When a half-fluxon is threading the ring, $I$ exhibits incoherent transitions between the two…

Superconductivity · Physics 2017-02-01 D. A. Garanin , E. M. Chudnovsky

Fluxon dynamics in the dc-biased array of asymmetric three-junction superconducting quantum interference devices (SQUIDs) is investigated. The array of SQUIDs is described by the discrete double sine-Gordon equation. It appears that this…

Pattern Formation and Solitons · Physics 2014-11-24 Yaroslav Zolotaryuk , Ivan O. Starodub

We develop an approach of Grad-Shafranov (GS) reconstruction for toroidal structures in space plasmas, based on in-situ spacecraft measurements. The underlying theory is the GS equation that describes two-dimensional magnetohydrostatic…

Solar and Stellar Astrophysics · Physics 2017-08-30 Qiang Hu

We present a new computational approach to simulate linear sweep and cyclic voltammetry experiments that does not require a discretized grid in space to quantify diffusion. By using a Green's function solution coupled to a standard implicit…

Chemical Physics · Physics 2021-05-05 Alec J. Coffman , Jianfeng Lu , Joseph E. Subotnik

We develop in detail a new formalism [as a sequel to the work of T. Champel and S. Florens, Phys. Rev. B 75, 245326 (2007)] that is well-suited for treating quantum problems involving slowly-varying potentials at high magnetic fields in…

Mesoscale and Nanoscale Physics · Physics 2008-09-08 Thierry Champel , Serge Florens , Léonie Canet

We address recent momentum resolved radio frequency (RF) experiments on ultracold trapped Fermi gases of $^{40}$K. We show that momentum resolved RF probes provide measurements of the centrally important fermionic spectral function. They…

Strongly Correlated Electrons · Physics 2011-09-13 Qijin Chen , K. Levin

In this article, we derive the exact closed-form solution for the displacement in the interior of an elastic half-space due to a buried point force with Heaviside step function time history. It is referred to as the tensor Green's function…

Geophysics · Physics 2025-05-13 Xi Feng , Haiming Zhang

In this work, the first initial-boundary value problem for a sub-diffusion equation involving the regularized Prabhakar fractional derivative is studied. The problem is solved by reducing it to two initial-boundary value problems using the…

Analysis of PDEs · Mathematics 2026-05-22 Erkinjon Karimov , Doniyor Usmonov , Maftuna Mirzaeva

The boundary effects affecting the Hamiltonian for the nanocone with curvatureinduced spin orbit coupling were considered and the corresponding electronic structure was calculated. These boundary effects include the spin orbit coupling, the…

Mesoscale and Nanoscale Physics · Physics 2017-05-15 J. Smotlacha , R. Pincak

Charge and spin transport in a junction involving two triplet superconductors and a ferromagnetic barrier are studied. We use Bogoliubov-de Gennes wavefunctions to construct the Green's function, from which we obtain the Josephson currents…

Superconductivity · Physics 2012-01-12 Bogusz Bujnowski , Carsten Timm , P. M. R. Brydon

Understanding hydrogen-grain boundary (GB) interactions is critical to the analysis of hydrogen embrittlement in metals. This work presents a mesoscale fully kinetic model to investigate the effect of GB misorientation on hydrogen diffusion…

Materials Science · Physics 2024-12-31 Abdelrahman Hussein , Byungki Kim , Kim Verbeken , Tom Depover

We study the propagation of electrons in a circular quantum dot of gapped graphene subject to the magnetic flux $\phi$. We present analytical expressions for the eigenstates, scattering coefficients, scattering efficiency and radial…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 Bouchaib Lemaalem , Abdelhadi Belouad , Miloud Mekkaoui , Ahmed Jellal

We propose the physical implementation of a Grover-like search problem by means of Frenkel exciton trapping at a shallow isotopic impurity against a background of competing mechanisms. The search culminating at the impurity molecule,…

Quantum Physics · Physics 2015-05-18 A. Thilagam

We consider a linear array of trapped ions subjected to local parametric modulation of the trapping potential and continuous laser cooling. In our model, the phase of the parametric modulation varies linearly along the array, breaking…

Quantum Physics · Physics 2025-02-12 Miguel Clavero-Rubio , Tomas Ramos , Diego Porras

The power spectrum of displacement fluctuation of beads in the air-fluidized granular system is measured by a novel NMR technique of modulated gradient spin-echo. The results of measurement together with the related spectrum of the velocity…

Fluid Dynamics · Physics 2010-10-07 Janez Stepisnik , Samo Lasic , Igor Sersa , Ales Mohoric , Gorazd Planinsic

The trapped magnetic field is examined in bulk high-temperature superconductors that are artificially drilled along their c-axis. The influence of the hole pattern on the magnetization is studied and compared by means of numerical models…

Superconductivity · Physics 2015-05-19 Gregory P. Lousberg , J. -F. Fagnard , M. Ausloos , Ph. Vanderbemden , B. Vanderheyden

We study the single-particle Green function for a two-dimensional superconductor in a regime of strong classical phase fluctuations. Although the developed approach is valid for any symmetry, we concentrate on d-wave superconductors. We…

Superconductivity · Physics 2010-04-09 M. Khodas , A. M. Tsvelik

Gravitomagnetic effects originates from the rotation of the source of the gravitational field and from the rotational features of the observers' frame. In recent years, gravitomagnetism has been tested by means of its impact on the…

General Relativity and Quantum Cosmology · Physics 2013-12-06 Matteo Luca Ruggiero