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200 papers

A finite element solution coupled with an interior penalty discontinuous Galerkin solution are defined for the approximation of the coupled 3D-1D solute transport problem. Under sufficient regularity for the weak solutions, optimal error…

Numerical Analysis · Mathematics 2026-03-23 Alyssa Taylor-LaPole , Uzochi Gideon , Beatrice Riviere , Duygu Vargun

We investigate soliton collisions in the Manakov model, which is a system of coupled nonlinear Schroedinger equations that is integrable via the inverse scattering method. Computing the asymptotic forms of the general N-soliton solution in…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Takayuki Tsuchida

We study the problem of calculating transport properties of interacting quantum systems, specifically electrical and thermal conductivities, by computing the non-equilibrium steady state (NESS) of the system biased by contacts. Our approach…

Strongly Correlated Electrons · Physics 2016-08-19 Raghu Mahajan , C. Daniel Freeman , Sam Mumford , Norm Tubman , Brian Swingle

We calculate the nonlinear cotunneling conductance through interacting quantum dot systems in the deep Coulomb blockade regime using a rate equation approach based on the T-matrix formalism, which shows in the concerned regions very good…

Mesoscale and Nanoscale Physics · Physics 2011-06-03 Georg Begemann , Sonja Koller , Milena Grifoni , Jens Paaske

The sensitivity of anomalous transport in crowded media to the form of the inter-particle interactions is investigated through computer simulations. We extend the highly simplified Lorentz model towards realistic natural systems by modeling…

Soft Condensed Matter · Physics 2020-06-05 Charlotte F. Petersen , Thomas Franosch

In this paper, the authors study the limit of a sharp interface model for the solvation of charged molecules in an implicit solvent as the number of solute molecules and the size of the surrounding box tend to infinity. The energy is given…

Analysis of PDEs · Mathematics 2018-06-14 Janusz Ginster , Peter Gladbach

We present a cluster-based density-functional approach to model charge transport through molecular and atomic contacts. The electronic structure of the contacts is determined in the framework of density functional theory, and the parameters…

Mesoscale and Nanoscale Physics · Physics 2008-12-04 F. Pauly , J. K. Viljas , U. Huniar , M. Hafner , S. Wohlthat , M. Burkle , J. C. Cuevas , G. Schon

A real-time path integral Monte Carlo approach is developed to study the dynamics in a many-body quantum system until reaching a nonequilibrium stationary state. The approach is based on augmenting an exact reduced equation for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Lothar Mühlbacher , Eran Rabani

Generalizing response theory of open systems far from equilibrium is a central quest of nonequilibrium statistical physics. Using stochastic thermodynamics, we develop an algebraic method to study the response of nonequilibrium steady state…

Statistical Mechanics · Physics 2023-08-09 Timur Aslyamov , Massimiliano Esposito

We propose cotunneling as the microscopic mechanism that makes possible inelastic electron spectroscopy of magnetic atoms in surfaces for a wide range of systems, including single magnetic adatoms, molecules and molecular stacks. We…

Mesoscale and Nanoscale Physics · Physics 2011-08-26 F. Delgado , J. Fernández-Rossier

The relaxation dynamics of correlated electron transport (ET) along molecular chains is studied based on a substantially improved numerically exact path integral Monte Carlo (PIMC) approach. As archetypical model we consider a Hubbard chain…

Statistical Mechanics · Physics 2009-11-11 L. Muehlbacher , J. Ankerhold , A. Komnik

In the study of quantum transport, much has been known for dynamics near thermal equilibrium. However, quantum transport far away from equilibrium is much less well understood--the linear response approximation does not hold for physics…

Quantum Gases · Physics 2022-12-07 Jie Zou , Xiaopeng Li

We discuss recent findings about properties of quantum nonequilibrium steady states. In particular we focus on transport properties. It is shown that the time dependent density matrix renormalization method can be used successfully to find…

Quantum Physics · Physics 2011-11-15 Marko Znidaric

We study dynamic nonequilibrium electron charging phenomena in ballistic molecular devices at room temperature that compromise their response to bias and whose nature is evidently distinguishable from static Schottky-type potential…

Mesoscale and Nanoscale Physics · Physics 2008-05-13 Ioannis Deretzis , Antonino La Magna

In this paper we consider stabilised finite element methods for hyperbolic transport equations without coercivity. Abstract conditions for the convergence of the methods are introduced and these conditions are shown to hold for three…

Numerical Analysis · Mathematics 2014-05-05 Erik Burman

The role of multimode vibrational dynamics in electron transport through single molecule junctions is investigated. The study is based on a generic model, which describes charge transport through a single molecule that is attached to metal…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 R. Härtle , C. Benesch , M. Thoss

We present a first numerical investigation of the accuracy of the recently proposed {\em non-classical transport equation}. This equation contains an extra independent variable (the path-length $s$), and models particle transport taking…

Disordered Systems and Neural Networks · Physics 2018-12-27 Richard Vasques , Kai Krycki

It is shown that the transport in low temperature, collisional, bounded plasma is enhanced by instabilities at high magnetic field. While the magnetic field confines the electrons in a stable plasma, the instability completely destroys the…

Plasma Physics · Physics 2019-09-04 R. Lucken , A. Bourdon , M. Lieberman , P. Chabert

We introduce a unified framework for analyzing Markov dynamics by linking nonequilibrium thermodynamics with information geometry. Using the symmetrized Kullback-Leibler divergence, we reveal an intrinsic Minkowski structure in the…

Statistical Mechanics · Physics 2025-05-08 David Andrieux

A fluid model is developed for multicomponent two-temperature magnetized plasmas in chemical non-equilibrium from the partially- to fully-ionized collisional regimes. We focus on transport phenomena aiming at representing the chromosphere…