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The Onsager reciprocal relations are established within the phenomenological framework of the thermodynamics of irreversible processes. In order to do so, the dissipated power densities associated to scalar and vectorial processes are…

Statistical Mechanics · Physics 2022-10-11 Sylvain D. Brechet

The Onsager linear relations between macroscopic flows and thermodynamics forces are derived from the point of view of large deviation theory. For a given set of macroscopic variables, we consider the short-time evolution of…

Statistical Mechanics · Physics 2021-04-28 Brian R. La Cour , William C. Schieve

In the linear regime, Onsager's response matrix provides the coupling between heat and charge currents crossing a section of thermoelectric materials of infinitesimal thickness. Integrating this response over the finite thickness of a…

Statistical Mechanics · Physics 2024-12-20 Paul Raux , Christophe Goupil , Gatien Verley

We develop an exact quantum thermodynamic description for a noninteracting nanoscale steady state that couples strongly with multiple reservoirs. It is demonstrated that there exists a steady-state extension of the thermodynamic function…

Mesoscale and Nanoscale Physics · Physics 2018-04-05 Nobuhiko Taniguchi

We study the energy exchange between two bosonic systems that interact via bilinear transformations in the mode operators. The first mode is considered as the thermodynamic system, while the second is regarded as the bath. This work finds…

Quantum Physics · Physics 2020-06-23 Chiara Macchiavello , Alberto Riccardi , Massimiliano F. Sacchi

Using quantum information geometry, I derive quantum generalizations of the Onsager rate equations, which model the dynamics of an open system near a steady state. The generalized equations hold for a flexible definition of the forces as…

Quantum Physics · Physics 2025-10-20 Mankei Tsang

We initially prepare a quantum linear oscillator weakly coupled to a bath in equilibrium at an arbitrary temperature. We disturb this system by varying a Hamiltonian parameter of the coupled oscillator, namely, either its spring constant or…

Statistical Mechanics · Physics 2015-05-27 Ilki Kim

In this letter we clarify the role of heat flux in the hydrodynamic balance equations in 2D quantum wells, facilitating the formulation of an Onsager relation within the framework of this theory. We find that the Onsager relation is…

Condensed Matter · Physics 2009-10-28 M. W. Wu , H. L. Cui , W. Sun , S. Y. Wu

In this paper we clarify the role of heat flux in the hydrodynamic balance equations, facilitating the formulation of an Onsager relation within the framework of this theory. Previously thought to be unobtainable from the present form of…

Condensed Matter · Physics 2009-10-28 M. W. Wu , H. L. Cui , N. J. M. Horing

Onsager's phenomenological equations successfully describe irreversible thermodynamic processes. They assume a symmetric coupling matrix between thermodynamic fluxes and forces. It is easily shown that the antisymmetric part of a coupling…

Chemical Physics · Physics 2020-08-10 Thomas Heimburg

An overview is given of recent advances in the nonequilibrium statistical mechanics of quantum systems and, especially, of time-reversal symmetry relations that have been discovered in this context. The systems considered are driven out of…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Pierre Gaspard

By considering a thermodynamic force as gauge field, we extend constitutive equations of Onsager's non-equilibrium thermodynamics to non-linear equations. In Onsager's non-equilibrium thermodynamics, the thermodynamic force corresponds to a…

Statistical Mechanics · Physics 2018-11-15 So Katagiri

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…

Statistical Mechanics · Physics 2025-06-02 Yu-Jen Chiu , Eric M. Weiner , Ahmad K. Omar

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…

Statistical Mechanics · Physics 2023-05-23 Andrea Plati , Andrea Puglisi , Alessandro Sarracino

We study the thermodynamics of open systems weakly driven out-of-equilibrium by nonconservative and time-dependent forces using the linear regime of stochastic thermodynamics. We make use of conservation laws to identify the potential and…

Statistical Mechanics · Physics 2022-10-13 Danilo Forastiere , Riccardo Rao , Massimiliano Esposito

We extend Onsager's minimum dissipation principle to stationary states that are only subject to local equilibrium constraints, even when the transport coefficients depend on the thermodynamic forces. Crucial to this generalization is a…

Statistical Mechanics · Physics 2023-07-19 Giorgio Sonnino , Jarah Evslin , Alberto Sonnino

In quantum statistical mechanics, equilibrium states have been shown to be the typical states for a system that is entangled with its environment, suggesting a possible identification between thermodynamic and von Neumann entropies. In this…

Quantum Physics · Physics 2017-06-28 Thibaut Josset

The thermodynamic implications for the out-of-equilibrium dynamics of quantum systems are to date largely unexplored, especially for quantum many-body systems. In this paper we investigate the paradigmatic case of an array of…

Modeling of physical systems must be based on their suitability to unavoidable physical laws. In this work, in the context of classical, isothermal, finite-time, and weak drivings, I demonstrate that physical systems, driven simultaneously…

Statistical Mechanics · Physics 2024-06-07 Pierre Nazé

The spontaneous emergence of dynamical order, such as persistent currents, is sometimes argued to require principles beyond the entropy maximization of the second law of thermodynamics. I show that, for linear dissipation in the Onsager…

Optics · Physics 2009-11-11 Eric Smith
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