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Thermal transport coefficients are independent of the specific microscopic expression for the energy density and current from which they can be derived through the Green-Kubo formula. We discuss this independence in terms of a kind of gauge…

统计力学 · 物理学 2017-06-09 Loris Ercole , Aris Marcolongo , Paolo Umari , Stefano Baroni

We present generalized Green-Kubo expressions for thermal transport coefficients $\mu$ in non-conservative fluid-type systems, of the generic form, $\mu$ $= \mu_\infty$ $+\int^\infty_0 dt V^{-1} \av{I_\epsilon \exp(t {\cal L}) I}_0$ where…

统计力学 · 物理学 2007-05-23 M. H. Ernst , R. Brito

We study the macroscopic profiles of temperature and angular momentum in the stationary state of chains of rotors under a thermo-mechanical forcing applied at the boundaries. These profiles are solutions of a system of diffusive partial…

统计力学 · 物理学 2021-07-07 Alessandra Iacobucci , Stefano Olla , Gabriel Stoltz

We investigate the low-temperature electrical and thermal transport properties in atomically precise metallic heterostructures involving strongly-correlated electron systems. The model of the Mott-insulator/ band-insulator superlattice was…

强关联电子 · 物理学 2008-06-19 Andreas Ruegg , Sebastian Pilgram , Manfred Sigrist

Determining the transport properties of Quark-Gluon Plasma is one of the most important aspects of relativistic heavy ion collision studies. Field-theoretical calculations of the transport coefficients such as the shear and bulk viscosities…

高能物理 - 唯象学 · 物理学 2026-05-07 Sangyong Jeon , Alina Czajka , Juhee Hong

The Green-Kubo-Nakano formula should be modified in relativistic hydrodynamics because of the problem of acausality and the breaking of sum rules. In this work, we propose a formula to calculate the transport coefficients of causal…

核理论 · 物理学 2008-11-26 T. Koide

The leading jet transport coefficients $\hat{q}$ or $\hat{e}_{2}$ encode transverse or longitudinal momentum broadening of a hard parton traversing a hot medium. Understanding their temperature dependence is key to appreciating the observed…

高能物理 - 格点 · 物理学 2023-07-19 Amit Kumar , Abhijit Majumder , Ismail Soudi , Johannes H. Weber

The effective transport coefficients and figure of merit ZT for anisotropic systems are derived from a macroscopic formalism. The full tensorial structure of the transport coefficients and the effect of the sample boundaries are included.…

材料科学 · 物理学 2007-05-23 W. E. Bies , R. J. Radtke , H. Ehrenreich

We explore the charge transport mechanism in organic semiconductors based on a model that accounts for the thermal intermolecular disorder at work in pure crystalline compounds, as well as extrinsic sources of disorder that are present in…

材料科学 · 物理学 2012-12-10 S. Ciuchi , S. Fratini

We demonstrate the coherent transport of thermal energy in superlattices by introducing a microscopic definition of the phonon coherence length. We demonstrate how to distinguish a coherent transport regime from diffuse interface scattering…

介观与纳米尺度物理 · 物理学 2014-09-09 Benoit Latour , Sebastian Volz , Yann Chalopin

We provide an analytical derivation of the thermo-electric transport coefficients of the simplest momentum-dissipating model in gauge/gravity where the lack of momentum conservation is realized by means of explicit graviton mass in the…

高能物理 - 理论 · 物理学 2015-01-09 Andrea Amoretti , Alessandro Braggio , Nicola Maggiore , Nicodemo Magnoli , Daniele Musso

We display an interesting sum rule for the dynamical thermal conductivity for many standard models of condensed matter in terms of the expectation of a thermal operator. We present the thermal operator for several model systems of current…

强关联电子 · 物理学 2009-11-11 B Sriram Shastry

Local kinetic equilibration is a prerequisite for hydrodynamics to be valid. Here it is described through a nonlinear diffusion equation for finite systems of fermions and bosons. The model is solved exactly for constant transport…

量子气体 · 物理学 2019-04-16 Georg Wolschin

Close to equilibrium, the exchange of particles and heat between macroscopic systems at different temperatures and different chemical potentials is known to be governed by a matrix of transport coefficients which is positive and symmetric.…

统计力学 · 物理学 2017-10-11 Euijin Jeon , Peter Talkner , Juyeon Yi , Yong Woon Kim

I will discuss, from a dynamical systems point of view, some recent attempts to rigorously derive the macroscopic laws of transport (e.g. the heat equation) from deterministic microscopic dynamics.

数学物理 · 物理学 2018-05-03 Carlangelo Liverani

Exploring the transport properties of different materials brings new avenue for basic understanding of emergent phenomena and practical applications in many different fields. Here, we report a program named as TRACK (TRAnsport properties…

强关联电子 · 物理学 2021-10-15 Antik Sihi , Sudhir K. Pandey

We first review the problem of a rigorous justification of Kubo's formula for transport coefficients in gapped extended Hamiltonian quantum systems at zero temperature. In particular, the theoretical understanding of the quantum Hall effect…

数学物理 · 物理学 2023-12-21 Joscha Henheik , Stefan Teufel

Using the micro-canonical picture of transport -- a framework ideally suited to describe the dynamics of closed quantum systems such as ultra-cold atom experiments -- we show that the exact dynamics of non-interacting fermions and bosons…

量子气体 · 物理学 2012-04-11 Chih-Chun Chien , Michael Zwolak , Massimiliano Di Ventra

We review some recent results from the mathematical theory of transport of charge and spin in gapped crystalline quantum systems. The emphasis will be in transport coefficients like conductivities and conductances. As for the former, those…

数学物理 · 物理学 2023-02-06 Giovanna Marcelli , Domenico Monaco

We review the current methods and results of lattice simulations of quantum chromodynamics at nonzero temperatures and densities. The review is intended to introduce the subject to interested nonspecialists and beginners. It includes a…

高能物理 - 格点 · 物理学 2009-07-24 C. E. DeTar , U. M. Heller