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In this contribution we summarize recent results on the transport properties of strongly correlated dilute Fermi gases. We discuss the hydrodynamic equations in the normal phase and present new results on the structure of second order terms…

Nuclear Theory · Physics 2015-05-30 Thomas Schaefer

Numerical studies of some unidimensional systems suggest that Fourier law is satisfied, where theory predicts a divergence of heat conductivity with the system size. Here, I revisit some such models, finding that in all cases a divergence…

Statistical Mechanics · Physics 2026-01-29 Antonio Politi

Recent theoretical advances, based on a combination of concepts from Thouless' topological theory of adiabatic charge transport and a newly introduced gauge-invariance principle for transport coefficients, have permitted to connect (and…

Materials Science · Physics 2023-09-08 Paolo Pegolo , Stefano Baroni , Federico Grasselli

*First-principles derivation of the entropy production in erectric static conduction. *The second-order (symmetric) density matrix contributes to the entropy production. *New schemes of steady states formulated using a relaxation-type von…

Statistical Mechanics · Physics 2011-03-31 Masuo Suzuki

Variational principles play a fundamental role in deriving evolution equations of physics. They are working well in case of nondissipative evolution but for dissipative systems they are not unique, not predictive and not constructive. With…

Statistical Mechanics · Physics 2020-09-02 Péter Ván , Róbert Kovács

In recent years, research and development in nanoscale science and technology have grown significantly, with electrical transport playing a key role. A natural challenge for its description is to shed light on anomalous behaviours observed…

Populations and Evolution · Quantitative Biology 2025-04-10 Sara Bernardi , Paolo Begnamino , Marco Pizzi , Lamberto Rondoni

A recently developed non-linear fluctuating hydrodynamics theory has been quite successful in describing various features of anomalous energy transport. However the diffusion and the noise terms present in this theory are not derived from…

Statistical Mechanics · Physics 2019-01-23 Asaf Miron , Julien Cividini , Anupam Kundu , David Mukamel

We study high temperature spin transport in a disordered Heisenberg chain in the ergodic regime when bulk dephasing is present. We find that while dephasing always renders the transport diffusive, there is nonetheless a remnant of the…

Disordered Systems and Neural Networks · Physics 2017-07-19 Marko Žnidarič , Juan Jose Mendoza-Arenas , Stephen R. Clark , John Goold

It has been suggested that the laws of thermodynamics are violated by what we have called a convection-dominated accretion flow (or a 1/2-law accretion flow) -- an accretion flow characterized by a constant outflow of energy. We show that…

Astrophysics · Physics 2007-05-23 Andrei Gruzinov

We present a new derivation of relativistic second-order dissipative hydrodynamics for quantum systems using Zubarev's non-equilibrium statistical-operator formalism. This is achieved by a systematic expansion of the energy-momentum tensor…

Nuclear Theory · Physics 2022-02-02 Arus Harutyunyan , Armen Sedrakian , Dirk H. Rischke

We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads. Using the tools of adiabatic expansion, we develop a self-contained thermodynamic description of this model…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Daniele Nello , Alessandro Silva

This work is focused on the dissipative system describing the dynamics of an extensible thermoelastic beam, where the dissipation is entirely contributed by the second equation ruling the evolution of the temperature. Under natural boundary…

Dynamical Systems · Mathematics 2009-01-28 C. Giorgi , M. G. Naso , V. Pata , M. Potomkin

We introduce new classes of hydrodynamic theories inspired by the recently discovered fracton phases of quantum matter. Fracton phases are characterized by elementary excitations (fractons) with restricted mobility. The hydrodynamic…

Strongly Correlated Electrons · Physics 2020-07-29 Andrey Gromov , Andrew Lucas , Rahul M. Nandkishore

The total entropy production of a trajectory can be split into an adiabatic and a non-adiabatic contribution, deriving respectively from the breaking of detailed balance via nonequilibrium boundary conditions or by external driving. We show…

Statistical Mechanics · Physics 2015-05-14 Massimiliano Esposito , Christian Van den Broeck

Equilibrium molecular dynamics simulation and the Green-Kubo formalism were used to calculate self-diffusion coefficient, shear viscosity, and thermal conductivity for 38 different dipolar two-center Lennard-Jones fluids along the bubble…

Chemical Physics · Physics 2009-06-18 G. A. Fernandez , J. Vrabec , H. Hasse

Life is a planetary feature that depends on its environment, but it has also strongly shaped the physical conditions on Earth, having created conditions highly suitable for a productive biosphere. Clearly, the second law of thermodynamics…

Geophysics · Physics 2024-10-23 Axel Kleidon

We develop a hydrodynamic description of the resistivity and magnetoresistance of an electron liquid in a smooth disorder potential. This approach is valid when the electron-electron scattering length is sufficiently short. In a broad range…

Mesoscale and Nanoscale Physics · Physics 2011-09-12 A. V. Andreev , Steven A. Kivelson , B. Spivak

We extend the derivation of second-order relativistic viscous hydrodynamics to incorporate the effects of baryon current, a non-vanishing chemical potential, and a realistic equation of state. Starting from a microscopic quantum theory, we…

High Energy Physics - Phenomenology · Physics 2024-12-10 Asaad Daher , Leonardo Tinti , Amaresh Jaiswal , Radoslaw Ryblewski

From Hamilton's principle of stationary action, we derive governing equations of two-fluid mixtures and extend the model to the dissipative case without chemical reactions. For both conservative and dissipative cases, an algebraic identity…

Mathematical Physics · Physics 2008-01-16 Henri Gouin , Sergey Gavrilyuk

A scheme for treating the Second Law of thermodynamics as a constraint and accounting for the approximate nature of constitutive assumptions in continuum thermomechanics is discussed. An unconstrained, concave, variational principle is…

Classical Physics · Physics 2024-12-31 Amit Acharya