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We show that simple diffusive systems, such as the Lorentz gas and multibaker maps are perfectly compatible with the laws of irreversible thermodynamics, despite the fact that the moving particles, or their equivalents, in these models do…

混沌动力学 · 物理学 2013-07-15 P. Gaspard , G. Nicolis , J. R. Dorfman

The linear laws of transport phenomena are central in our description of irreversible processes in systems across the physical sciences. Linear irreversible thermodynamics allows for the identification of the underlying forces driving…

统计力学 · 物理学 2025-06-02 Yu-Jen Chiu , Eric M. Weiner , Ahmad K. Omar

We present a detailed study of the first simple mechanical system that shows fully realistic transport behavior while still being exactly solvable at the level of equilibrium statistical mechanics. The system under consideration is a…

统计力学 · 物理学 2009-09-29 H. Larralde , F. Leyvraz , C. Mejia-Monasterio

It is shown that the lesser and greater self energies and Green functions calculated in a recent work on universal noequilibrium transport in interacting quantum dots [E. Mu\~noz, C. J. Bolech, and S. Kirchner, Phys. Rev. Lett. 110, 016601…

强关联电子 · 物理学 2013-08-26 A. A. Aligia

The Lorentz gas is one of the simplest, most widely used models to study the transport properties of rarified gases in matter. It describes the dynamics of a cloud of non-interacting point particles in an infinite array of fixed spherical…

动力系统 · 数学 2015-09-03 Jens Marklof

In this paper, we will critically discuss recent theoretical and experimental developments on the transport of one dimensional quantum systems. In particular, we will focus on open issues and controversial results related to the finite…

强关联电子 · 物理学 2007-05-23 X. Zotos

An ab initio based theoretical approach to describe nonequilibrium many-body effects in molecular transport is developed. We introduce a basis of localized molecular orbitals and formulate the many-body model in this basis. In particular,…

介观与纳米尺度物理 · 物理学 2013-12-12 Dmitry A. Ryndyk , Andrea Donarini , Milena Grifoni , Klaus Richter

A consistent description of simultaneous heat and particle transport, including cross effects, and the associated entropy balance is given in the framework of a deterministic dynamical system. This is achieved by a multibaker map where,…

chao-dyn · 物理学 2009-10-31 Laszlo Matyas , Tamas Tel , Jurgen Vollmer

Thermodynamics and transport are investigated in a holographic QCD model that extends the Einstein--Maxwell--Dilaton framework by incorporating Gauss--Bonnet corrections. Model parameters are fixed using state-of-the-art lattice QCD…

高能物理 - 理论 · 物理学 2026-05-25 ChenWei Tong , Jie Zhou , YuanXu Wang , Rong-Gen Cai , Song He , Li Li

Theoretical and experimental values to date for the resistances of single molecules commonly disagree by orders of magnitude. By reformulating the transport problem using boundary conditions suitable for correlated many-electron systems, we…

凝聚态物理 · 物理学 2007-05-23 P. Delaney , J. C. Greer

Two deterministic models for Brownian motion are investigated by means of numerical simulations and kinetic theory arguments. The first model consists of a heavy hard disk immersed in a rarefied gas of smaller and lighter hard disks acting…

混沌动力学 · 物理学 2009-11-13 Fabio Cecconi , Massimo Cencini , Angelo Vulpiani

The unification of relativity and thermodynamics has been a subject of considerable debate over the last 100 years. The reasons for this are twofold: (i) Thermodynamic variables are nonlocal quantities and, thus, single out a preferred…

统计力学 · 物理学 2009-12-18 Jörn Dunkel , Peter Hänggi , Stefan Hilbert

On a Riemannian manifold, lower Ricci curvature bounds are known to be characterized by geodesic convexity properties of various entropies with respect to the Kantorovich-Rubinstein-Wasserstein square distance from optimal transportation.…

数学物理 · 物理学 2023-09-26 Robert J McCann

The theory of transport phenomena in multicomponent electrolyte solutions is presented here through the integration of continuum mechanics, electromagnetism, and non-equilibrium thermodynamics. The governing equations of irreversible…

统计力学 · 物理学 2020-11-02 Kara D. Fong , Helen K. Bergstrom , Bryan D. McCloskey , Kranthi K. Mandadapu

Quantum dots are versatile systems for exploring quantum transport, electron correlations, and many-body phenomena such as the Kondo effect. While equilibrium properties are well understood through methods like the numerical renormalization…

强关联电子 · 物理学 2026-01-06 Gustavo Diniz , Silvio Quintino , Vivian V. França

We introduce the first simple mechanical system that shows fully realistic transport behavior while still being exactly solvable at the level of equilibrium statistical mechanics. The system under consideration is a Lorentz gas with fixed…

统计力学 · 物理学 2009-10-31 C. Mejia-Monasterio , H. Larralde , F. Leyvraz

Theoretical foundations of electron transport in mesoscopic systems, based on Landauer theory, Master equations or Onsager linear thermodynamics, are revisited to show that the noniteracting electrons model is insufficient to describe…

介观与纳米尺度物理 · 物理学 2025-07-29 Robert Alicki

The nonlinear transport properties of the Mott insulator are discussed with focus on the many-body Landau-Zener mechanism. After reviewing basic concepts such as the non-adiabatic geometric phase and the Schwinger mechanism, we study the…

强关联电子 · 物理学 2012-02-01 Takashi Oka , Hideo Aoki

G\"oran Lindblad in 1983 published a monograph on non-equilibrium thermodynamics. We here summarize the contents of this book, and provide a perspective on its relation to later developments in statistical physics and quantum physics. We…

量子物理 · 物理学 2023-07-26 Erik Aurell , Ryoichi Kawai

Relativistic transport phenomena are important from both theoretical and practical point of view. Accordingly, hydrodynamics of relativistic gas has been extensively studied theoretically. Here, we introduce a three-dimensional canonical…

统计力学 · 物理学 2015-06-15 Malihe Ghodrat , Afshin Montakhab
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