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This work addresses the mean-field limit of inertial particle systems with singular interactions in a perturbative regime around Gibbs equilibrium. We prove that small fluctuations around equilibrium are asymptotically governed by the…

Analysis of PDEs · Mathematics 2026-05-29 Mitia Duerinckx , Pierre-Emmanuel Jabin

The theoretical description of strongly correlated quantum systems out of equilibrium presents several challenges and a number of open questions persist. In this paper we focus on nonlinear electronic transport through a quantum dot…

Strongly Correlated Electrons · Physics 2012-11-27 Prasenjit Dutt , Jens Koch , J. E. Han , Karyn Le Hur

The interaction between electronic and vibrational degrees of freedom is an important mechanism in nonequilibrium charge transport through molecular nanojunctions. While adiabatic polaron-type coupling has been studied in great detail, new…

Mesoscale and Nanoscale Physics · Physics 2022-06-10 Christoph Kaspar , André Erpenbeck , Jakob Bätge , Christian Schinabeck , Michael Thoss

A common wisdom posits that transports of conserved quantities across clean nonintegrable quantum systems at high temperatures are diffusive when probed from the emergent hydrodynamic regime. We show that this empirical paradigm may alter…

Strongly Correlated Electrons · Physics 2024-09-20 Chun Chen , Yan Chen , Xiaoqun Wang

This paper deals with a one--dimensional model for granular materials, which boils down to an inelastic version of the Kac kinetic equation, with inelasticity parameter $p>0$. In particular, the paper provides bounds for certain distances…

Mathematical Physics · Physics 2009-11-13 Federico Bassetti , Lucia Ladelli , Eugenio Regazzini

We apply the recently proposed quasi-classical approach for a second quantized many-electron Hamiltonian in Cartesian coordinates [J. Chem. Phys. 137, 154107 (2012)] to correlated nonequilibrium quantum transport. The approach provides…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Bin Li , Tal J. Levy , David W. H. Swenson , Eran Rabani , William H. Miller

We study three classes of continuous time Markov processes (inclusion process, exclusion process, independent walkers) and a family of interacting diffusions (Brownian energy process). For each model we define a boundary driven process…

Mathematical Physics · Physics 2015-06-12 Gioia Carinci , Cristian Giardina' , Claudio Giberti , Frank Redig

We study non-equilibrium transport through a single-orbital Anderson model in a magnetic field with spin-dependent hopping amplitudes. In the cotunneling regime it is described by an effective spin-1/2 dot with a…

Strongly Correlated Electrons · Physics 2013-01-14 Mikhail Pletyukhov , Dirk Schuricht

Transport process in molecular chain in nonequilibrium stationary state is theoretically investigated. The molecule is interacting at its both ends with thermal baths which has different temperatures, while no dissipation mechanism is…

Statistical Mechanics · Physics 2015-05-20 Satoshi Tanaka , Kazuki Kanki , Tomio Petrosky

We formulate and apply a nonperturbative numerical approach to the nonequilibrium current, $I(V)$, through a voltage-biased molecular conductor. We focus on a single electronic level coupled to an unequilibrated vibration mode…

Mesoscale and Nanoscale Physics · Physics 2012-03-20 R. Hützen , S. Weiss , M. Thorwart , R. Egger

We study the nonlinear cotunneling current through a spinful quantum dot contacted by two superconducting leads. Applying a general nonequilibrium Green function formalism to an effective Kondo model, we study the rich variation in the…

Mesoscale and Nanoscale Physics · Physics 2012-10-12 B. M. Andersen , K. Flensberg , V. Koerting , J. Paaske

We discuss a numerical method to study electron transport in mesoscopic devices out of equilibrium. The method is based on the solution of operator equations of motion, using efficient Chebyshev time propagation techniques. Its peculiar…

Mesoscale and Nanoscale Physics · Physics 2010-02-20 A. Alvermann , H. Fehske

A fourth-order Schr\"{o}dinger equation for the description of charge transport in semiconductors in the ballistic regime is proposed with the inclusion of non-parabolic effects in the dispersion relation in order to go beyond the simple…

Mathematical Physics · Physics 2025-07-15 Giulia Elena Aliffi , Giovanni Nastasi , Vittorio Romano

Techniques for simulating molecules whose conformations satisfy constraints are presented. A method for selecting appropriate moves in Monte Carlo simulations is given. The resulting moves not only obey the constraints but also maintain…

Computational Physics · Physics 2007-05-23 Charles F. F. Karney , Jason E. Ferrara

A general density-matrix formulation of quantum-transport phenomena in semiconductor nanostructures is presented. More specifically, contrary to the conventional single-particle correlation expansion, we shall investigate separately the…

Materials Science · Physics 2009-11-11 Rita Claudia Iotti , Emanuele Ciancio , Fausto Rossi

We develop a general theory for thermal transport in anharmonic systems under the weak system-bath coupling approximation similar to the quantum master equation formalism. A current operator is derived, which is valid not only in the steady…

Mesoscale and Nanoscale Physics · Physics 2012-05-28 Juzar Thingna , J. L. García-Palacios , Jian-Sheng Wang

State-of-the-art approaches to extract transport coefficients of many-body quantum systems broadly fall into two categories: (i) they target the linear-response regime in terms of equilibrium correlation functions of the closed system; or…

The conductance through a serial double dot structure for which the inter-dot tunneling is stronger than the tunneling to the leads is studied using the numerical density matrix renormalization group method and analytic arguments. When the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Richard Berkovits , Boris Altshuler

We report the implementation of 4-component spinor relativistic equation-of-motion coupledcluster method within the single- and double- excitation approximation to calculate ionization potential (EOM-CCSD) of molecules. We have applied this…

Chemical Physics · Physics 2015-02-25 Himadri Pathak , Sudip Sasmal , Malaya K. Nayak , Nayana Vaval , Sourav Pal

Our goal in this paper is twofold. First, we characterize the class of pairwise interactions for which the Seidl conjecture on the structure of optimal plans for the symmetric multimarginal optimal transport problem with one-dimensional…

Mathematical Physics · Physics 2026-04-14 Thiago Carvalho Corso
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