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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

We study thermal fluctuation corrections to charge and heat conductivity in systems with locally conserved energy and charge, but without locally conserved momentum. Thermal fluctuations may naturally lead to a lower bound on diffusion…

统计力学 · 物理学 2015-07-22 Pavel Kovtun

The clearing up of a wave nature of the energy and mass transfer phenomena in classical expressions of the molecular-kinetic theory has allowed to find a quantitative measure of intensity of processes of a thermal conductivity, viscosity…

流体动力学 · 物理学 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik

We study the contribution of advection by thermal velocity fluctuations to the effective diffusion coefficient in a mixture of two identical fluids. The steady-state diffusive flux in a finite system subject to a concentration gradient is…

介观与纳米尺度物理 · 物理学 2015-05-27 A. Donev , A. de la Fuente , J. B. Bell , A. L. Garcia

Ballistic transportation introduces new challenges in the thermodynamic properties of a gas of particles. For example, violation of mixing, ergodicity and of the fluctuation-dissipation theorem may occur, since all these processes are…

无序系统与神经网络 · 物理学 2009-11-13 L. C. Lapas , I. V. L. Costa , M. H. Vainstein , F. A. Oliveira

We discuss contributions to the thermopower in an electron fluid. A simple argument based on Newton's second law with the pressure gradient as the force suggests that the thermopower is given by a thermodynamic derivative, viz., the entropy…

统计力学 · 物理学 2024-01-22 J. Amarel , D. Belitz , T. R. Kirkpatrick

The use of hydrodynamic transport theory seems to indicate that the charge diffusion constant D of the one-dimensional (1D) half-filled Hubbard model, whose Drude weight vanishes, diverges for temperature T>0, which would imply anomalous…

强关联电子 · 物理学 2024-11-19 J. M. P. Carmelo , P. D. Sacramento

We derive a Thermodynamic Uncertainty Relation bounding the mean squared displacement of a Gaussian process with memory, driven out of equilibrium by unbalanced thermal baths and/or by external forces. Our bound is tighter with respect to…

统计力学 · 物理学 2023-05-23 Andrea Plati , Andrea Puglisi , Alessandro Sarracino

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 consider a situation commonly encountered in microfluidics: two streams of miscible liquids are brought at a junction to flow side by side within a microchannel, allowing solutes to diffuse from one stream to the other and possibly…

软凝聚态物质 · 物理学 2007-05-23 Jean-Baptiste Salmon , Armand Ajdari

We study the contribution of advection by thermal velocity fluctuations to the effective diffusion coefficient in a mixture of two indistinguishable fluids. The enhancement of the diffusive transport depends on the system size L and grows…

介观与纳米尺度物理 · 物理学 2015-05-27 A. Donev , A. de la Fuente , J. B. Bell , A. L. Garcia

We use the dynamic length and time scale separation in suspensions to formulate a general description of colloidal thermophoresis. Our approach allows an unambiguous definition of separate contributions to the colloidal flux and clarifies…

软凝聚态物质 · 物理学 2017-12-19 Jerome Burelbach , Daan Frenkel , Ignacio Pagonabarraga , Erika Eiser

We establish global-in-time existence results for thermodynamically consistent reaction-(cross-)diffusion systems coupled to an equation describing heat transfer. Our main interest is to model species-dependent diffusivities, while at the…

偏微分方程分析 · 数学 2022-02-11 Julian Fischer , Katharina Hopf , Michael Kniely , Alexander Mielke

A unified view on macroscopic thermodynamics and quantum transport is presented. Thermodynamic processes with an exchange of energy between two systems necessarily involve the flow of other balanceable quantities. These flows are first…

介观与纳米尺度物理 · 物理学 2012-10-02 C. Strunk

Thermodiffusion in aqueous electrolyte solutions exhibits complex dependencies on temperature, concentration, and salt composition, yet its microscopic origins remain incompletely understood. Here, we employ non-equilibrium molecular…

软凝聚态物质 · 物理学 2026-04-21 Guansen Zhao , Fernando Bresme

The convective transport in a multicomponent isothermal compressible fluid subject to the mass continuity equations is considered. The velocity is proportional to the negative pressure gradient, according to Darcy's law, and the pressure is…

偏微分方程分析 · 数学 2019-11-25 Pierre-Etienne Druet , Ansgar Jüngel

A theoretical approach to describing transport of an entire ensemble of clusters with different sizes as a single species in gas has been developed. The major assumption is an existence of local partial chemical equilibrium between the…

化学物理 · 物理学 2026-05-01 Eugene V. Stepanov , Alexander F. Gutsol

Thermal conduction is an important energy transfer and damping mechanism in astrophysical flows. Fourier's law - the heat flux is proportional to the negative temperature gradient, leading to temperature diffusion - is a well-known…

太阳与恒星天体物理 · 物理学 2015-06-23 Daniel Lecoanet , Benjamin P. Brown , Ellen G. Zweibel , Keaton J. Burns , Jeffrey S. Oishi , Geoffrey M. Vasil

We consider a liquid bearing gas bubbles in a porous medium. When gas bubbles are immovably trapped in a porous matrix by surface-tension forces, the dominant mechanism of transfer of gas mass becomes the diffusion of gas molecules through…

统计力学 · 物理学 2015-03-17 Denis S. Goldobin , Nikolai V. Brilliantov

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
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