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On the basis of the linear response transport theory, the general expressions for the thermoelectric transport coefficients, such as thermoelectric power (S), Nernst coefficient (\nu), and thermal conductivity (\kappa), are derived by using…

Strongly Correlated Electrons · Physics 2009-11-07 Hiroshi Kontani

The thermodynamics and covariant kinetic theory have been elaborately investigated in a non-extensive environment considering the non-extensive generalization of Bose-Einstein (BE) and Fermi-Dirac (FD) statistics. Starting with Tsallis'…

Nuclear Theory · Physics 2018-02-08 Sukanya Mitra

Many challenges faced in today's semiconductor devices are related to self-heating phenomena. The optimization of device designs can be assisted by numerical simulations using the non-isothermal drift-diffusion system, where the magnitude…

Applied Physics · Physics 2020-08-21 Markus Kantner

Non-equilibrium thermodynamics with internal variables introduces a natural hierarchical arrangement of evolution equations. Three examples are shown: a hierarchy of linear constitutive equations in thermodynamic rhelogy with a single…

Statistical Mechanics · Physics 2016-05-20 P. Ván , R. Kovács , T. Fülöp

We present a generic, compact formula for the current flowing in interacting and non-interacting systems which are driven out-of-equilibrium by biased reservoirs described by Lindblad jump operators. We show that, in the limit of high…

Quantum Physics · Physics 2020-12-18 Tony Jin , Michele Filippone , Thierry Giamarchi

We consider a general compressible viscous and heat conducting fluid confined between two parallel plates and heated from the bottom. The time evolution of the fluid is described by the Navier--Stokes--Fourier system considered in the…

Analysis of PDEs · Mathematics 2023-11-21 Peter Bella , Eduard Feireisl , Florian Oschmann

We discuss thermal rectification and thermoelectric energy conversion from the perspective of nonequilibrium statistical mechanics and dynamical systems theory. After preliminary considerations on the dynamical foundations of the…

Statistical Mechanics · Physics 2016-05-11 Giuliano Benenti , Giulio Casati , Carlos Mejia-Monasterio , Michel Peyrard

Results of heat pulse experiments in various artificial and natural materials are reported in the paper. The experiments are performed at room temperature with macroscopic samples. It is shown that temperature evolution does not follow the…

Statistical Mechanics · Physics 2018-05-08 P. Ván , A. Berezovski , T. Fülöp , Gy. Gróf , R. Kovács , Á. Lovas , J. Verhás

We reconsider the fundamental problem of coarse-graining infinite-dimensional Hamiltonian dynamics to obtain a macroscopic system which includes dissipative mechanisms. In particular, we study the thermodynamical implications concerning…

Mathematical Physics · Physics 2025-06-06 Alexander Mielke , Mark A. Peletier , Johannes Zimmer

Nanoconfinement induces many intriguing non-Fourier heat conduction phenomena that have been extensively studied in recent years, such as the nonlinear temperature profile inside the devices, the temperature jumps near the contacts, and the…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 Yue Hu , Xiaokun Gu , Tianli Feng , Zheyong Fan , Hua Bao

We calculate electronic energy transport in inhomogeneous superconductors using a fully self-consistent non-equilibrium quasiclassical Keldysh approach. We develop a general theory and apply it a superconductor with an order parameter that…

Superconductivity · Physics 2016-08-10 Caroline Richard , Anton B. Vorontsov

We consider thermal conduction across a general nonlinear phononic junction. Based on two-time observation protocol and the field theoretical/algebraic method, the cumulants of the heat transferred in both transient and steady-state regimes…

Statistical Mechanics · Physics 2016-09-09 Huanan Li , Bijay Kumar Agarwalla , Baowen Li , Jian-Sheng Wang

Thermodynamics is continuously spreading in the engineering practice, which is especially true for non-equilibrium models in continuum problems. Although there are concepts and approaches beyond the classical knowledge, which are known for…

Statistical Mechanics · Physics 2020-07-31 Mátyás Szücs , Róbert Kovács , Srboljub Simić

The paper addresses a two-temperature model for simulating compressible two-phase flow taking into account diffusion processes related to the heat conduction and viscosity of the phases. This model is reduced from the two-phase…

Numerical Analysis · Mathematics 2022-07-27 Chao Zhang , Igor Menshov , Lifeng Wang , Zhijun Shen

We present a generalization of AEMD approach, routinely applied to estimate thermal conductivity, to the more general case in which Soret and Dufour effects determine a coupled heat-mass transfer. We show that, by starting from…

Materials Science · Physics 2023-08-31 Antonio Cappai , Luciano Colombo , Claudio Melis

Momentum-conserving one-dimensional models are known to exhibit anomalous Fourier's law, with a thermal conductivity varying as a power law of the system size. Here we measure, by numerical simulations, several cumulants of the heat flux of…

Statistical Mechanics · Physics 2015-05-18 E. Brunet , B. Derrida , A. Gerschenfeld

A general formulation is developed to study heat conduction in disordered harmonic chains with arbitrary heat baths that satisfy the fluctuation-dissipation theorem. A simple formal expression for the heat current J is obtained, from which…

Statistical Mechanics · Physics 2009-11-07 Abhishek Dhar

We report heat pulse experiments at room temperature that cannot be described by Fourier's law. The experimental data is modelled properly by the Guyer--Krumhansl equation, in its over-diffusion regime. The phenomenon is due to conduction…

Statistical Mechanics · Physics 2016-05-20 S. Both , B. Czél , T. Fülöp , Gy. Gróf , Á. Gyenis , R. Kovács , P. Ván , J. Verhás

We study heat transport in a class of stochastic energy exchange systems that characterize the interactions of networks of locally trapped hard spheres under the assumption that neighbouring particles undergo rare binary collisions. Our…

Statistical Mechanics · Physics 2009-08-28 Pierre Gaspard , Thomas Gilbert

We consider the problem of heat transport by vibrational modes (conduction) between Langevin thermostats connected by a central device. The latter is anharmonic and can be subject to large temperature differences and thus be out of…

Materials Science · Physics 2021-12-15 Keivan Esfarjani