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Related papers: Onsager-Casimir reciprocal relations

200 papers

It is shown that the "chaoticity hypothesis", analogous to Ruelle's principle for turbulence and recently introduced in statistical mechanics, implies the Onsager reciprocity and the fluctuation dissipation theorem in various models for…

chao-dyn · Physics 2008-02-26 Giovanni Gallavotti

Time-reversal symmetry plays an essential role in the thermodynamic uncertainty relations, which bound the fluctuations of observables in terms of the associated dissipation. In fact, thermodynamic uncertainty relations are typically…

Statistical Mechanics · Physics 2026-05-28 Tetta Indo , Yoshihiko Hasegawa

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

Using the near-detailed-balance distribution function obtained in our recent work, we present a set of covariant gravito-thermal transport equations for neutral relativistic gases in a generic stationary spacetime. All relevant tensorial…

Statistical Mechanics · Physics 2024-03-01 Xin Hao , Song Liu , Liu Zhao

Traditionally it is assumed that the Casimir vacuum pressure does not depend on the ultraviolet cut-off. There are, however, some arguments that the effect actually depends on the regularization procedure and thus on the trans-Planckian…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. E. Volovik

In a four terminal sample microscopic time-reversibility leads to symmetry relations between resistance measurements where the role of current and voltage leads are exchanged. These reciprocity relations are a manifestation of general…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. D. Chepelianskii , H. Bouchiat

We derive self-reciprocity properties for a number of polyomino generating functions, including several families of column-convex polygons, three-choice polygons and staircase polygons with a staircase hole. In so doing, we establish a…

Combinatorics · Mathematics 2025-09-26 M. Bousquet-Melou , A. J. Guttmann , W. P. Orrick , A. Rechnitzer

The polarization tensor of graphene derived in the framework of the Dirac model using the methods of thermal quantum field theory in (2+1) dimensions is recast in a mathematically equivalent but more compact and convenient in computations…

Quantum Physics · Physics 2025-02-20 G. L. Klimchitskaya , C. C. Korikov , V. M. Mostepanenko

Casimir forces are a manifestation of the change in the zero-point energy of the vacuum caused by the insertion of boundaries. We show how the Casimir force can be computed by consideration of the vacuum fluctuations that are suppressed by…

Statistical Mechanics · Physics 2007-12-13 Eugene B. Kolomeisky , Joseph P. Straley

The exact critical Casimir force between periodically deformed boundaries of a 2D semi-infinite strip is obtained for conformally invariant classical systems. Only two parameters (conformal charge and scaling dimension of a boundary…

Statistical Mechanics · Physics 2015-03-03 G. Bimonte , T. Emig , M. Kardar

The first-order thermodynamics of scalar-tensor theory is a novel approach that exploits the intriguing relationship between gravity and thermodynamics to better understand the space of gravity theories. It is based on using Eckart's…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Serena Giardino , Andrea Giusti

We investigate the three dimensional lattice XY model with nearest neighbor interaction. The vector order parameter of this system lies on the vertices of a cubic lattice, which is embedded in a system with a film geometry. The orientations…

Statistical Mechanics · Physics 2011-10-28 Jonathan Bergknoff , Daniel Dantchev , Joseph Rudnick

Nonreciprocity, a hallmark of nonequilibrium systems, can generate dynamics not possible near thermodynamic equilibrium, including oscillatory and rotating patterns. The onset of temporal oscillations is often evident in linearized…

Statistical Mechanics · Physics 2026-04-21 Daniel Evans , Yizhi Shen , Ahmad K. Omar

Based on the theory of macroscopic quantum electrodynamics, we generalize the expression of the Casimir force for nonreciprocal media. The essential ingredient of this result is the Green's tensor between two nonreciprocal semi-infinite…

The general isotropic constitutive equations of heat conduction with second sound and ballistic propagation in isotropic materials is given using Non-Equilibrium Thermodynamics with Internal Variables (NET-IV). The consequences of Onsager…

Statistical Mechanics · Physics 2022-04-26 A. Famà , L. Restuccia , P. Ván

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 present the derivation of the hydrodynamic limit under Eulerian scaling for a general class of one-dimensional interacting particle systems with two or more conservation laws. Following Yau's relative entropy method it turns out that in…

Probability · Mathematics 2007-05-23 Balint Toth , Benedek Valko

The trace of a function of a Schrodinger operator minus the same for the Laplacian can be expressed in terms of the determinant of its scattering matrix. The naive formula for this determinant is divergent. Using a dispersion relation, we…

Quantum Physics · Physics 2011-07-13 S. G. Rajeev

The objective of this work is to determine the nonlinear flux-force relations for systems out of Onsager's region that respect the existing thermodynamic theorems for systems far from equilibrium. To this aim, a thermodynamic theory for…

Plasma Physics · Physics 2022-12-07 Giorgio Sonnino

In this letter we consider the fluctuation induced force exerted between two plates separated by a distance $L$ in a fluid with a temperature gradient. We predict that, for a range of distances $L$, this non-equilibrium force is anomalously…

Statistical Mechanics · Physics 2013-06-13 T. R. Kirkpatrick , J. M. Ortiz de Zárate , J. V. Sengers