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We present an approach to steady-state mesoscopic transport based on the maximum entropy principle formulation of nonequilibrium statistical mechanics. This approach is valid in the nonlinear regime of high current, and yields the…

Condensed Matter · Physics 2009-10-22 M. D. Johnson , O. Heinonen

We review various numerical approaches to compute transport coefficients in molecular dynamics. These approaches can be broadly classified into three groups: (i) nonequilibrium methods based on applying an external driving field to the…

We use an adiabatic approximation in terms of instantaneous resonances to study the steady-state and time-dependent transport properties of interacting electrons in biased resonant tunneling heterostructures. This approach leads, in a…

Condensed Matter · Physics 2009-10-28 Carlo Presilla , Johannes Sjöstrand

Correlation functions of quantum systems -- central objects in quantum field theories -- are defined in high-dimensional space-time domains. Their numerical treatment thus suffers from the curse of dimensionality, which hinders the…

Strongly Correlated Electrons · Physics 2023-05-01 Hiroshi Shinaoka , Markus Wallerberger , Yuta Murakami , Kosuke Nogaki , Rihito Sakurai , Philipp Werner , Anna Kauch

For a class of piecewise hyperbolic maps in two dimensions, we propose a combinatorial definition of topological entropy by counting the maximal, open, connected components of the phase space on which iterates of the map are smooth. We…

Dynamical Systems · Mathematics 2020-03-11 Mark F. Demers

A recent paper by Cordero-Erausquin and Klartag provides a characterization of the measures $\mu$ on $\R^d$ which can be expressed as the moment measures of suitable convex functions $u$, i.e. are of the form $(\nabla u)\_\\#e^{- u}$ for…

Functional Analysis · Mathematics 2015-07-16 Filippo Santambrogio

We illustrate how to calculate the finite-temperature linear-response conductance of quantum impurity models from the Matsubara Green function. A continued fraction expansion of the Fermi distribution is employed which was recently…

Strongly Correlated Electrons · Physics 2015-05-19 C. Karrasch , V. Meden , K. Schönhammer

Making statistical predictions requires tackling two problems: one must assign appropriate probability distributions and then one must calculate a variety of expected values. The method of maximum entropy is commonly used to address the…

Statistical Mechanics · Physics 2009-11-07 Chih-Yuan Tseng , Ariel Caticha

The transport coefficients of the Anderson model require knowledge of both the temperature and frequency dependence of the single--particle spectral densities and consequently have proven difficult quantities to calculate. Here we show how…

Strongly Correlated Electrons · Physics 2011-03-14 T. A. Costi , A. C. Hewson

In the present work we compute the enhancement in the long time transport coefficients due to correlated motion of fluid particles at high density. The fully wave vecor dependent extended mode coupling model is studied with the inclusion of…

Statistical Mechanics · Physics 2016-08-31 Sudha Srivastava , Shankar P. Das

The reliable transmission of quantum information remains a central challenge in the presence of environmental noise. In particular, maintaining high teleportation fidelity in open quantum systems is hindered by decoherence, which disrupts…

Stationary reciprocal processes defined on a finite interval of the integer line can be seen as a special class of Markov random fields restricted to one dimension. Non stationary reciprocal processes have been extensively studied in the…

Optimization and Control · Mathematics 2016-11-17 Francesca Carli , Augusto Ferrante , Michele Pavon , Giorgio Picci

In this paper, we consider nonlinear diffusion processes driven by space-time white noises, which have an interpretation in terms of partial differential equations. For a specific choice of coefficients, they correspond to the Landau…

Probability · Mathematics 2007-05-23 Joaquin Fontbona , Helene Guerin , Sylvie Meleard

A spatially-periodic longitudinal wave is considered in relativistic dissipative hydrodynamics. At sufficiently small wave amplitudes, an analytic solution is obtained in the linearised limit of the macroscopic conservation equations within…

Fluid Dynamics · Physics 2018-03-07 Victor E. Ambrus

Analytic continuation is an essential step in extracting information about the dynamical properties of physical systems from quantum Monte Carlo (QMC) simulations. Different methods for analytic continuation have been proposed and are still…

Computational Physics · Physics 2023-02-21 Khaldoon Ghanem , Erik Koch

With the emergence of fluid antenna (FA) in wireless communications, the capability to dynamically adjust port positions offers substantial benefits in spatial diversity and spectrum efficiency, which are particularly valuable for mobile…

Signal Processing · Electrical Eng. & Systems 2025-09-25 Ying Ju , Mingdong Li , Haoyu Wang , Lei Liu , Youyang Qu , Mianxiong Dong , Victor C. M. Leung , Chau Yuen

Transport coefficients are determined by the slope of spectral functions of composite operators at zero frequency. We study the spectral function relevant for the shear viscosity for arbitrary frequencies in weakly-coupled scalar and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gert Aarts , Jose Maria Martinez Resco

During recent decades, there has been a substantial development in optimal mass transport theory and methods. In this work, we consider multi-marginal problems wherein only partial information of each marginal is available, which is a setup…

Signal Processing · Electrical Eng. & Systems 2019-05-13 Filip Elvander , Isabel Haasler , Andreas Jakobsson , Johan Karlsson

We investigate the transport through a few-level quantum system described by a Markovian master equation with temperature- and particle-density dependent chemical potentials. From the corresponding Onsager relations we extract linear…

Quantum Gases · Physics 2014-02-03 Christian Nietner , Gernot Schaller , Tobias Brandes

We review a recently developed formalism for computing thermoelectric coefficients in correlated matter. The usual difficulties of such a calculation are circumvented by a careful generalization the transport formalism to finite…

Strongly Correlated Electrons · Physics 2026-01-14 B Sriram Shastry