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We study the stability and dynamics of solitons in the Korteweg-de Vries (KdV) equation in the presence of noise and deterministic forcing. The noise is space-dependent and statistically translation-invariant. We show that, for small…

Analysis of PDEs · Mathematics 2025-04-25 Rik W. S. Westdorp , Hermen Jan Hupkes

We investigate electron transport in two quantum circuits with mutual Coulomb interaction. The first circuit is a double quantum dot connected to two electron reservoirs, while the second one is a quantum point contact in the weak tunneling…

Mesoscale and Nanoscale Physics · Physics 2015-10-29 Robert Hussein , Sigmund Kohler

This paper is dedicated to the study of a one-dimensional congestion model, consisting of two different phases. In the congested phase, the pressure is free and the dynamics is incompressible, whereas in the non-congested phase, the fluid…

Analysis of PDEs · Mathematics 2021-11-09 Anne-Laure Dalibard , Charlotte Perrin

In the BCS theory of superconductivity, one assumes that all Cooper pairs have the same center of mass momentum. This is indeed enforced by self consistency, if the pairing interaction is momentum independent. Here, we show that for an…

Superconductivity · Physics 2010-05-18 Florian Loder , Arno P. Kampf , Thilo Kopp

We study nonequilibrium steady states of lattice gases with nearest-neighbor interactions that are driven between two reservoirs. Density profiles in these systems exhibit oscillations close to the reservoirs. We demonstrate that an…

Statistical Mechanics · Physics 2015-05-30 Marcel Dierl , Philipp Maass , Mario Einax

We revisit the standard procedure to match non-perturbative models to perturbative QCD, using experimental data. The strong coupling constant plays a central role in the QCD evolution of parton densities. We will extend this procedure with…

High Energy Physics - Phenomenology · Physics 2015-05-28 A. Courtoy

Many-body quantum-mechanical stationary states that have real valued wavefunctions are shown to satisfy a classical conservation of energy equation with a kinetic energy function. The terms in the equation depend on the probability…

Atomic Physics · Physics 2021-07-23 James P. Finley

We investigate the interplay dynamics of a cavity qed system, where the two-level atoms are trapped in a double-well potential, and the cavity mode, with a frequency largely detuned to the atomic level splitting, is driven by a probe laser.…

Quantum Physics · Physics 2009-11-13 Jiang-Ming Zhang , Wu-Ming Liu , Duan-Lu Zhou

For different models of the electron-phonon interaction, the asymptotic behaviour of the moments of the stationary homogeneous solution of the linear Boltzmann equation is determined in the limit of a high external field. For…

Condensed Matter · Physics 2015-06-25 C. Dalitz

In the present work, we study coherent structures in a one-dimensional discrete nonlinear Schr\"odinger lattice in which the coupling between waveguides is periodically modulated. Numerical experiments with single-site initial conditions…

Pattern Formation and Solitons · Physics 2023-08-23 Ross Parker , Jesús Cuevas-Maraver , P. G. Kevrekidis , Alejandro Aceves

We investigate the time-dependent, coherent, and dissipative dynamics of bound particles in single multilevel quantum dots in the presence of sequential tunnelling transport. We focus on the nonequilibrium regime where several channels are…

Mesoscale and Nanoscale Physics · Physics 2010-02-11 Eduardo Vaz , Jordan Kyriakidis

It is usually assumed that the high-energy evolution of partons in QCD remains local in coordinate space. In particular, fixed impact-parameter scattering is thought to be in the universality class of one-dimensional reaction-diffusion…

High Energy Physics - Phenomenology · Physics 2009-01-09 S. Munier , G. P. Salam , G. Soyez

We study coupled transport in the nonequilibrium stationary state of a model consisting of independent random walkers, moving along a one-dimensional channel, which carry a conserved energy-like quantity, with density and temperature…

Statistical Mechanics · Physics 2009-08-11 Hernán Larralde , David P. Sanders

We present results of molecular dynamics simulations for two-dimensional repulsively interacting colloids driven by a one dimensional asymmetric and commensurate ratchet potential, switching on and off stochastically. This drives a…

Soft Condensed Matter · Physics 2018-05-17 Dipanjan Chakraborty , Debasish Chaudhuri

The potential between infinitely heavy quarks in a color singlet state is of fundamental importance in QCD. While the confining long distance part is inherently non-perturbative, the short-distance (Coulomb-like) regime is accessible…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Melles

In a recent work [Bret, EPL \textbf{135} (2021) 35001], quantum electrodynamic (QED) effects were evaluated for the two-stream instability. It pertains to the growth of perturbations with a wave vector oriented along the flow in a…

Plasma Physics · Physics 2022-01-26 Antoine Bret

The conductivity in quasi two-dimensional systems is calculated using the quantum kinetic equation. Linearizing the Lenard-Balescu collision integral with the extension to include external field dependences allows one to calculate the…

Strongly Correlated Electrons · Physics 2009-11-07 Klaus Morawetz

We investigate dynamics arising after an interaction quench in the quantum sine-Gordon model for a one-dimensional system initially prepared in a spatially inhomogeneous domain wall state. We study the time-evolution of the density, current…

Strongly Correlated Electrons · Physics 2015-05-20 Jarrett Lancaster , Emanuel Gull , Aditi Mitra

We study the quenched dynamics of the momentum distribution of a unitary Bose gas under isotropic harmonic confinement within a time-dependent density functional approach based on our recently calculated Monte Carlo (MC) bulk equation of…

Quantum Gases · Physics 2015-11-10 Francesco Ancilotto , Maurizio Rossi , Luca Salasnich , Flavio Toigo

In the context of fluid flows, the coupled Ostrovsky equations arise when two distinct linear long wave modes have nearly coincident phase speeds in the presence of background rotation. In this paper, nonlinear waves in a stratified fluid…

Pattern Formation and Solitons · Physics 2015-06-22 A. Alias , R. H. J. Grimshaw , K. R. Khusnutdinova