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The divergence of the heat conductivity in the thermodynamic limit is investigated in 2d-lattice models of anharmonic solids with nearest-neighbour interaction from single-well potentials. Two different numerical approaches based on…

chao-dyn · Physics 2007-05-23 A. Lippi , R. Livi

Due to their low density and large specific surface area, metal foams are increasingly used as cellular materials that combine excellent structural and thermal properties. Their cellular structure makes them particularly suitable for use in…

Applied Physics · Physics 2025-08-22 Anna Fehér , Dániel Cseh , Róbert Kovács

It is a long-lasting task to understand heat conduction phenomena beyond Fourier. Besides the low-temperature experiments on extremely pure crystals, it has turned out recently that heterogeneous materials with macro-scale size can also…

A nanowire with its two ends fixed at two different temperatures by external baths is the simplest example of a fermionic system with a temperature inhomogeneity, and could be an easy platform to study thermodynamic and transport properties…

Mesoscale and Nanoscale Physics · Physics 2025-04-07 Yuan Gao , K. A. Muttalib

Nonlinear heat transfer can be exploited to reveal novel transport phenomena and thus enhance peo-ple's ability to manipulate heat flux at will. However, there hasn't been a mature discipline called nonlinear thermotics like its counterpart…

Applied Physics · Physics 2022-10-04 Gaole Dai

We present a first-principles study of heat conduction in a class of models which exhibit a new multi-step local thermalization mechanism which gives rise to Fourier's law. Local thermalization in our models occurs as the result of binary…

Statistical Mechanics · Physics 2008-07-08 Pierre Gaspard , Thomas Gilbert

The accuracy of the classical heat conduction model, known as Fourier's law, is highly questioned, dealing with the micro and nanosystems and biological tissues. In other words, the results obtained from the classical equations deviate from…

We propose a new mechanism that enables heat flow from a colder region to a hotter region without necessitating either particle transport or external work on the conductor, thereby bypassing the compressor part of a classical heat pump…

Statistical Mechanics · Physics 2016-03-29 Puneet Kumar Patra , Baidurya Bhattacharya

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

Linear temperature dependence of transport coefficients in metals is often ascribed to non-Fermi-liquid physics. Here we demonstrate the $T$-linear behavior of nonlocal conductivity in a clean 2D electron fluid, where carrier collisions…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 Serhii Kryhin , Qiantan Hong , Leonid Levitov

We propose a model with a quantized degree of freedom to study the heat transport in quasi-one dimensional system. Our simulations reveal three distinct temperature regimes. In particular, the intermediate regime is characterized by heat…

Disordered Systems and Neural Networks · Physics 2009-11-11 Jun-Wen Mao , You-Quan Li

Thermal conductivities are routinely calculated in molecular dynamics simulations by keeping the boundaries at different temperatures and measuring the slope of the temperature profile in the bulk of the material, explicitly using Fourier's…

Statistical Mechanics · Physics 2021-04-13 Yuanyang Ren , Kai Wu , David Cubero

This work investigates the two-dimensional thermal behavior of a bilayer medium subject to both internal and external heat sources. The model incorporates diffusion, advection, and temperature-dependent volumetric heat generation or…

Fluid Dynamics · Physics 2025-11-12 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

We investigate the heat transport between two nonthermal reservoirs based on a microscopic collision model. We consider a bipartite system consisting of two identical subsystems, and each subsystem interacts with its own local reservoir,…

Quantum Physics · Physics 2018-03-14 Lei Li , Jian Zou , Hai Li , Bao-Ming Xu , Yuan-Mei Wang , Bin Shao

We study transport properties of the helical edge states of two-dimensional integer and fractional topological insulators via double constrictions. Such constrictions couple the upper and lower edges of the sample, and can be made and tuned…

Strongly Correlated Electrons · Physics 2013-09-25 Chia-Wei Huang , Sam T. Carr , Dmitri Gutman , Efrat Shimshoni , Alexander D. Mirlin

We investigate the stationary nonequilibrium states of a quasi one-dimensional system of heavy particles whose interaction is mediated by purely elastic collisions with light particles, in contact at the boundary with two heat baths with…

Statistical Mechanics · Physics 2009-11-10 Christian Gruber , Annick Lesne

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

Heat transport exhibits distinct regimes ranging from ballistic propagation to diffusive relaxation, traditionally described by disparate theoretical frameworks. Here, we introduce a unified first-order operator formulation in which…

Optics · Physics 2026-04-29 Pengfei Zhu

Two classes of 1D nonintegrable systems represented by the Fermi-Pasta-Ulam (FPU) model and the discrete $\phi^4$ model are studied to seek a generic mechanism of energy transport in microscopic level sustaining macroscopic behaviors. The…

Condensed Matter · Physics 2009-10-31 Bambi Hu , Baowen Li , Hong Zhao

Nonreciprocal transport phenomena indicate that the forward and backward flows differ, and are attributed to broken inversion symmetry. In this paper, we study the nonreciprocity of a thermal and thermoelectric transport of electronic…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Ryota Nakai , Naoto Nagaosa