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We describe how to treat the interaction of travelling electrons with localised vibrational modes in nanojunctions. We present a multichannel scattering technique which can be applied to calculate the transport properties for realistic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Ness , A. J. Fisher

We present a stochastic approach for ion transport at the mesoscopic level. The description takes into account the self-consistent electric field generated by the fixed and mobile charges as well as the discrete nature of these latter. As…

Statistical Mechanics · Physics 2015-03-17 David Andrieux , Pierre Gaspard

This paper studies the nonlinear one-dimensional stochastic heat equation driven by a Gaussian noise which is white in time and which has the covariance of a fractional Brownian motion with Hurst parameter 1/4\textless{}H\textless{}1/2 in…

Probability · Mathematics 2015-05-20 Yaozhong Hu , Jingyu Huang , Khoa Lê , David Nualart , Samy Tindel

A multiscale analysis of 1D stochastic bistable reaction-diffusion equations with additive noise is carried out w.r.t. travelling waves within the variational approach to stochastic partial differential equations. It is shown with explicit…

Probability · Mathematics 2019-02-11 Jennifer Krüger , Wilhelm Stannat

Studies about the constructive aspects of noise and fluctuations in different non-linear systems have shown that the addition of external noise to systems with an intrinsic noise may result in a less noisy response. Recently, the…

Materials Science · Physics 2009-11-13 D. Persano Adorno , N. Pizzolato , B. Spagnolo

We study theoretically dynamics in a Josephson junction coupled to a mechanical resonator looking at the signatures of the resonance in d.c. electrical response of the junction. Such a system can be realized experimentally as a suspended…

Mesoscale and Nanoscale Physics · Physics 2012-12-07 C. Padurariu , C. J. H. Keijzers , Yu. V. Nazarov

We consider a damped $\beta$-Fermi-Pasta-Ulam chain, driven at one boundary subjected to stochastic noise. It is shown that, for a fixed driving amplitude and frequency, increasing the noise intensity, the system's energy resonantly…

Pattern Formation and Solitons · Physics 2009-11-13 George Miloshevich , Ramaz Khomeriki , Stefano Ruffo

In this work we study by numerical methods the phase dynamics in ballistic graphene-based short Josephson junctions. The supercurrent through a graphene junction shows a non-sinusoidal phase-dependence, unlike a conventional junction ruled…

Superconductivity · Physics 2015-12-09 Claudio Guarcello , Davide Valenti , Bernardo Spagnolo

The far-from-equilibrium dynamics of two crystalline two-dimensional monolayers driven past each other is studied using Brownian dynamics simulations. While at very high and low driving rates the layers slide past one another retaining…

Soft Condensed Matter · Physics 2007-05-23 Moumita Das , G. Ananthakrishna , Sriram Ramaswamy

We study the zero-bias conductance through the system of two quantum dots, one of which is embedded directly between the source and drain electrodes, while the second dot is side-coupled to the first one through a tunneling junction.…

Mesoscale and Nanoscale Physics · Physics 2010-08-10 Rok Zitko

We report on dynamical quantum transport simulations for realistic molecular devices based on an approximate formulation of time-dependent Density Functional Theory with open boundary conditions. The method allows for the computation of…

Mesoscale and Nanoscale Physics · Physics 2013-09-16 Christian Oppenländer , Björn Korff , Thomas A. Niehaus

The energetic properties of electron transport in mesoscopic and nanoscale conductors is of large current interest. Here we theoretically investigate the possibility of probing fluctuations of charge and heat currents as well as their mixed…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Nastaran Dashti , Maciej Misiorny , Peter Samuelsson , Janine Splettstoesser

The theory of time-dependent quantum transport addresses the question: How do electrons flow through a junction under the influence of an external perturbation as time goes by? In this paper, we invert this question and search for a…

Mesoscale and Nanoscale Physics · Physics 2014-07-10 K. J. Pototzky , E. K. U. Gross

A dynamical method for inelastic transport simulations in nanostructures is compared with a steady-state method based on non-equilibrium Green's functions. A simplified form of the dynamical method produces, in the steady state in the…

Mesoscale and Nanoscale Physics · Physics 2008-08-19 Eunan J. McEniry , Thomas Frederiksen , Tchavdar N. Todorov , Daniel Dundas , Andrew P. Horsfield

We study the transport properties for a walker on a ratchet potential. The walker consists of two particles coupled by a bistable potential that allow the interchange of the order of the particles while moving through a one-dimensional…

Adaptation and Self-Organizing Systems · Physics 2012-01-24 José L. Mateos , Fernando R. Alatriste

Artificial defects embedded in periodic structures are important foundation for creating localized states with vast range of applications in condensed matter physics, photonics and acoustics. In photonics, localized states are extensively…

Optics · Physics 2018-02-14 Hamidreza Ramezani , Pankaj Jha , Yuan Wang , Xiang Zhang

Charge transport through molecular junctions is often described either as a purely coherent or a purely classical phenomenon, and described using the Landauer-B\"uttiker formalism or Marcus theory, respectively. Using a generalised quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-23 Jakub K. Sowa , Jan A. Mol , G. Andrew D. Briggs , Erik M. Gauger

We present a theoretical study of time-dependent quantum transport in a resonant tunnel junction coupled to a nanomechanical oscillator within the non-equilibrium Green's function technique. An arbitrary voltage is applied to the tunnel…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. Tahir , A. MacKinnon

We present non-perturbative solutions for multi-level quantum dot structures coupled to interacting one-dimensional electrodes out of equilibrium. At a special correlation strength the Hamiltonian can be mapped to the Kondo problem which…

Strongly Correlated Electrons · Physics 2009-11-10 A. Komnik , A. O. Gogolin

Because of their small decay rates, nanomechanical modes enable studying strongly nonlinear phenomena for a moderately strong resonant driving. Here we study the response of a driven resonator to an additional probe field. We experimentally…

Mesoscale and Nanoscale Physics · Physics 2021-01-11 J. S. Ochs , M. Seitner , M. I. Dykman , E. M. Weig
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