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With the help of a general expression of the entropies in extensive and nonextensive systems, some important relations between thermodynamics and statistical mechanics are revealed through the views of thermodynamics and statistic physics.…

统计力学 · 物理学 2009-11-13 Zhifu Huang , Congjie Ou , A. Le Mehaute , Qiuping A. Wang , Jincan Chen

We investigate experimentally the relation between thermodynamical irreversibility and dissipation on a superconducting Xmon qubit. This relation also implies the second law and the Landauer principle on dissipation in the irreversible…

We derive a thermodynamic uncertainty relation (TUR) for first-passage times (FPTs) on continuous time Markov chains. The TUR utilizes the entropy production coming from bidirectional transitions, and the net flux coming from unidirectional…

统计力学 · 物理学 2021-08-11 Arnab Pal , Shlomi Reuveni , Saar Rahav

A variant of continuous nonequilibrium thermodynamic theory based on the postulate of the scale invariance of the local relation between generalized fluxes and forces has been proposed. This single postulate replaces the assumptions on…

统计力学 · 物理学 2015-06-05 Leonid M. Martyushev , V. D. Seleznev

Continuum-type constitutive relations of odd matter need to be formulated according to the second law of thermodynamics. Based on the primitive thermodynamics of Edelen, a procedure admitting most general relations, is outlined for…

软凝聚态物质 · 物理学 2024-10-31 Martin Ostoja-Starzewski

The Seebeck effect consists in the induction of a voltage drop due to the temperature difference in a conductor. In the middle of XIXth century, Lord Kelvin has proposed a relation between the Seebeck coefficient and the derivative of the…

介观与纳米尺度物理 · 物理学 2024-05-20 A. V. Kavokin , S. V. Kavokina , A. A. Varlamov , Yuriy Yerin

The principles of the thermoelectric phenomenon, including Seebeck effect, Peltier effect, and Thomson effect are discussed. The dependence of the thermoelectric devices on the figure of merit, Seebeck coefficient, electrical conductivity,…

材料科学 · 物理学 2017-06-29 Ibrahim M Abdel-Motaleb , Syed M. Qadri

In recent years, nonlinear transport phenomena have garnered significant interest in both theoretical explorations and experiments. In this work, we utilize the semi-classical wave packet theory to calculate disorder-induced second-order…

介观与纳米尺度物理 · 物理学 2026-01-29 Ying-Fei Zhang , Zhi-Fan Zhang , Hua Jiang , Zhen-Gang Zhu , Gang Su

The variational approach usually used in phase field models (PFVA) is applied here to analyse complex irreversible processes such as thermoelectric (TE) effects and thermally driven mass transport (TDMT). Complex irreversible processes…

统计力学 · 物理学 2015-01-05 Peng Zhou

We consider viscous, heat conducting mixtures of molecularly miscible chemical species forming a fluid in which the constituents can undergo chemical reactions. Assuming a common temperature for all components, we derive a closed system of…

流体动力学 · 物理学 2016-04-01 Dieter Bothe , Wolfgang Dreyer

In a companion article it was shown in a certain precise sense that, for any thermodynamical theory that respects the Kelvin-Planck Second Law, the Hahn-Banach Theorem immediately ensures the existence of a pair of continuous functions of…

数学物理 · 物理学 2023-08-22 Martin Feinberg , Richard B. Lavine

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…

广义相对论与量子宇宙学 · 物理学 2023-08-24 Serena Giardino , Andrea Giusti

We propose experimental protocols to reveal thermoelectric and thermal effects in the transport properties of ultracold fermionic atoms, using the two-terminal setup recently realized at ETH. We show in particular that, for two reservoirs…

量子气体 · 物理学 2013-11-12 Charles Grenier , Corinna Kollath , Antoine Georges

The principle of microscopic reversibility says that, in equilibrium, two-time cross-correlations are symmetric under the exchange of observables. Thus, the asymmetry of cross-correlations is a fundamental, measurable, and often-used…

统计力学 · 物理学 2023-08-24 Naruo Ohga , Sosuke Ito , Artemy Kolchinsky

In this paper we revisit the thermocouple model, as a linear irreversible thermodynamic energy converter. As is well known, the linear model of the thermocuple is one of the classics in this branch. In this model we note two types of…

统计力学 · 物理学 2020-02-10 S. Gonzalez-Hernandez , L. A. Arias-Hernandez

Many thermodynamic relations involve inequalities, with equality if a process does not involve dissipation. In this article we provide equalities in which the dissipative contribution is shown to involve the relative entropy (a.k.a.…

统计力学 · 物理学 2015-06-18 B. Gaveau , L. Granger , M. Moreau , L. S. Schulman

A new Thermodynamic Uncertainty Relation (TUR) is derived for systems described by linearly coupled Langevin equations in the presence of non-linear frictional forces. In our scheme, the main variable represents the velocity of a particle,…

统计力学 · 物理学 2024-05-09 A. Plati , A. Puglisi , A. Sarracino

Keller's theorem relates the components of the macroscopic dielectric response of a binary two-dimensional composite system with those of the reciprocal system obtained by interchanging its components. We present a derivation of the theorem…

光学 · 物理学 2019-09-24 Guillermo P. Ortiz , W. Luis Mochán

We study coupled irreversible processes. For linear or linearized kinetics with microreversibility, $\dot{x}=Kx$, the kinetic operator $K$ is symmetric in the entropic inner product. This form of Onsager's reciprocal relations implies that…

统计力学 · 物理学 2011-02-11 G. S. Yablonsky , A. N. Gorban , D. Constales , V. Galvita , G. B. Marin

Studies of mesoscopic structures have now become a leading and rapidly evolving research field ranging from physics, chemistry, and mineralogy to life sciences. The increasing miniaturization of devices with length scales of a few…

介观与纳米尺度物理 · 物理学 2023-10-25 Giorgio Sonnino