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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…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Robert Alicki

Unbalanced probability circulation, which yields cyclic motions in phase space, is the defining characteristics of a stationary diffusion process without detailed balance. In over-damped soft matter systems, such behavior is a hallmark of…

Mathematical Physics · Physics 2015-09-22 Hong Qian

We study different pointwise recurrence notions for linear dynamical systems from the Ergodic Theory point of view. We show that from any reiteratively recurrent vector $x_0$, for an adjoint operator $T$ on a separable dual Banach space…

Functional Analysis · Mathematics 2022-12-22 Sophie Grivaux , Antoni López-Martínez

We study thermal and charge transport in a three-terminal setup consisting of one superconducting and two ferromagnetic contacts. We predict that the simultaneous presence of spin filtering and of spin- dependent scattering phase shifts at…

Mesoscale and Nanoscale Physics · Physics 2013-01-30 P. Machon , M. Eschrig , W. Belzig

Nonequilibrium interfacial thermodynamics is formulated in the presence of surface reactions for the study of diffusiophoresis in isothermal systems. As a consequence of microreversibility and Onsager-Casimir reciprocal relations,…

Chemical Physics · Physics 2018-12-24 Pierre Gaspard , Raymond Kapral

The dynamics of 2D pancake vortices in Josephson-coupled superconducting/normal - metal multilayers is considered within the time-dependent Ginzburg-Landau theory. For temperatures close to $T_{c}$ a viscous drag force acting on a moving 2D…

Condensed Matter · Physics 2009-10-28 A. S. Mel'nikov

We critically compare thermodynamic and kinetic approaches, that have been recently used to study relations between the spin polarization and fluid vorticity in systems consisting of spin-one-half particles. The thermodynamic approach…

High Energy Physics - Phenomenology · Physics 2018-10-31 Wojciech Florkowski , Avdhesh Kumar , Radoslaw Ryblewski

Thermodynamics of itinerant magnets is studied using a classical model with one parameter characterizing the degree of itinerancy. Monte Carlo simulations for bcc and fcc lattices are compared with the mean-field approximation and with the…

Statistical Mechanics · Physics 2009-11-13 A. L. Wysocki , J. K. Glasbrenner , K. D. Belashchenko

In this paper, we introduce a real symmetric and positive semi-definite matrix, which we call the non-equilibrium conductance matrix, and which generalizes the Onsager response matrix for a system in a non-equilibrium stationary state. We…

Statistical Mechanics · Physics 2018-02-16 Hadrien Vroylandt , David Lacoste , Gatien Verley

Nonreciprocal interactions that violate Newton's law 'actio=reactio' are ubiquitous in nature and are currently intensively investigated in active matter, chemical reaction networks, population dynamics, and many other fields. An…

Statistical Mechanics · Physics 2026-02-24 Atul Tanaji Mohite , Heiko Rieger

We apply the stochastic thermodynamics formalism to describe the dynamics of systems of complex Langevin and Fokker-Planck equations. We provide in particular a simple and general recipe to calculate thermodynamical currents, dissipated and…

Statistical Mechanics · Physics 2019-01-30 Simone Borlenghi , Anna Delin

We develop the stochastic approach to thermodynamics based on the stochastic dynamics, which can be discrete (master equation) continuous (Fokker-Planck equation), and on two assumptions concerning entropy. The first is the definition of…

Statistical Mechanics · Physics 2015-06-11 Tânia Tomé , Mário J. de Oliveira

Local Shannon entropy lies at the heart of modern thermodynamics, with much discussion of trajectory-dependent entropy production. When taken at both boundaries of a process in phase space, it reproduces the second law of thermodynamics…

Statistical Mechanics · Physics 2015-01-20 Lee Jinwoo , Hajime Tanaka

We investigate the Thomson-Onsager relation between the spin-dependent Seebeck and spin-dependent Peltier effect. To maintain identical device and measurement conditions we measure both effects in a single…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 F. K. Dejene , J. Flipse , B. J. van Wees

Approach of mesoscopic state variables to time independent equilibrium sates (zero law of thermodynamics) gives birth to the classical equilibrium thermodynamics. Approach of fluxes and forces to fixed points (equilibrium fluxes and forces)…

Statistical Mechanics · Physics 2023-10-25 Miroslav Grmela

We construct an ensemble of two-dimensional nonintegrable quantum circuits that are chaotic but have a conserved particle current, and thus a finite Drude weight. The long-wavelength hydrodynamics of such systems is given by the…

Statistical Mechanics · Physics 2025-06-11 Hansveer Singh , Ewan McCulloch , Sarang Gopalakrishnan , Romain Vasseur

If a quantum fluid is driven with enough angular momentum, at equilibrium the ground state of the system is given by a lattice of quantised vortices whose density is prescribed by the quantization of circulation. We report on the first…

Nonequilibrium thermodynamics has shown its applicability in a wide variety of different situations pertaining to fields such as physics, chemistry, biology, and engineering. As successful as it is, however, its current formulation…

Condensed Matter · Physics 2009-11-07 J. M. G. Vilar , J. M. Rubi

We present results for the equilibrium statistics and dynamic evolution of moderately large ($n = {\mathcal{O}}(10^2 - 10^3)$) numbers of interacting point vortices on the unit sphere under the constraint of zero mean angular momentum. We…

Fluid Dynamics · Physics 2015-04-28 David G. Dritschel , Marcello Lucia , Andrew C. Poje

A unified thermodynamic framework for characterization of functional materials is developed. This framework encompasses linear reversible and irreversible processes with thermal, electrical, magnetic, and/or mechanical effects coupled. The…

Materials Science · Physics 2016-10-07 Sushma Santapuri
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