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Related papers: Heat conduction in 2d nonlinear lattices

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Heat-transport mechanism mediated by near-field interactions in plasmonic nanostructures networks is shown to be analogous to a generalized random-walk process. Existence of superdiffusive regimes is demonstrated both in linear ordered…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Philippe Ben-Abdallah , Riccardo Messina , Svend-Age Biehs , Maria Tschikin , Karl Joulain , Carsten Henkel

Based on accurate X-ray structure analysis of GdB6 over the temperature range 85-300 K it has been shown that anomalously strong charge carrier scattering in the quantum diffusion regime of charge transport in this compound arises due to…

Compared to other formulations of the second law of thermodynamics, the Clausius statement that heat does not spontaneously flow from cold to hot concerns a system in non-equilibrium states, and in that respect is more ambitious but also…

Statistical Mechanics · Physics 2020-12-18 Alex V. Plyukhin

We study the dynamics of non interacting thermal atoms embedded in structured optical lattices with non trivial geometry. The lattice would be generated by two counter propagating modes with parabolic cylindrical symmetry and we concentrate…

Quantum Physics · Physics 2011-01-24 R. Pérez-Pascual , B. M. Rodríguez-Lara , R. Jáuregui

Heat management is crucial in the design of nanoscale devices as the operating temperature determines their efficiency and lifetime. Past experimental and theoretical works exploring nanoscale heat transport in semiconductors addressed…

Calorimetry for equilibrium systems aims to determine the available microscopic occupation and distribution of energy levels by measuring thermal response. Nonequilibrium versions are expected to add information on the dynamical…

Statistical Mechanics · Physics 2023-11-27 Pritha Dolai , Christian Maes

Consider anomalous energy spread in solid phases, i.e., $MSD= \int (x -{< x >}_E)^2 \rho_E(x,t)dx \propto t^{\beta}$, as induced by a small initial excess energy perturbation distribution $\rho_{E}(x,t=0)$ away from equilibrium. The…

Statistical Mechanics · Physics 2015-06-16 Sha Liu , Peter Hänggi , Nianbei Li , Jie Ren , Baowen Li

We explore layered strongly correlated materials as a platform to identify and control unconventional heat transfer phenomena. We demonstrate that these systems can be tailored to sustain a wide spectrum of heat transport regimes, ranging…

Strongly Correlated Electrons · Physics 2021-11-29 Giacomo Mazza , Marco Gandolfi , Massimo Capone , Francesco Banfi , Claudio Giannetti

We study dissipation in inhomogeneous two-dimensional electron systems. We predict a relatively strong current-induced spatial asymmetry in the heating of the electron and phonon systems -- even if the inhomogeneity responsible for the…

Mesoscale and Nanoscale Physics · Physics 2019-12-04 K. S. Tikhonov , I. V. Gornyi , V. Yu. Kachorovskii , A. D. Mirlin

As a paradigm for heat conduction in 1 dimension, we propose a class of models represented by chains of identical cells, each one of which containing an energy storage device called a "tank". Energy exchange among tanks is mediated by…

Chaotic Dynamics · Physics 2009-11-11 Jean-Pierre Eckmann , Lai-Sang Young

Dual phase lag equation for heat conduction is analyzed from the point of view of non-equilibrium thermodynamics. Its first order Taylor series expansion is consistent with the second law as long as the two relaxation times are not…

Statistical Mechanics · Physics 2019-06-11 Róbert Kovács , Péter Ván

Kinetic constraints are generally expected to slow down dynamics in many-body systems, obstructing or even completely suppressing transport of conserved charges. Here, we show how gauge theories can defy this wisdom by yielding constrained…

We introduce a class of interacting fermionic quantum models in $d$ dimensions with nodal interactions that exhibit superdiffusive transport. We establish non-perturbatively that the nodal structure of the interactions gives rise to…

Statistical Mechanics · Physics 2025-10-27 Yu-Peng Wang , Jie Ren , Sarang Gopalakrishnan , Romain Vasseur

We consider unsteady ballistic heat transport in a semi-infinite Hooke chain with free end and arbitrary initial temperature profile. An analytical description of the evolution of the kinetic temperature is proposed in both discrete (exact)…

Statistical Mechanics · Physics 2023-02-15 Sergei D. Liazhkov

We study correlated electron states in frustrated geometry of a triangular lattice. The interplay of long range interactions and finite residual entropy of a classical system gives rise to unusual effects in equilibrium ordering as well as…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. S. Novikov , B. Kozinsky , L. S. Levitov

The atomic-level control achievable in artificially-structured oxide superlattices provides a unique opportunity to explore interface phases of matter including high-density 2D electron gases. Electronic-structure calculations show that the…

Materials Science · Physics 2007-05-23 D. R. Hamann , D. A. Muller , H. Y. Hwang

A recently developed Shastry's formalism for energy transport is used to analyze the temporal and spatial behaviors of the energy and heat transport in metals under delta function excitation at the surface. Comparison with Cattaneo's model…

Mesoscale and Nanoscale Physics · Physics 2010-10-14 Younes Ezzahri , Karl Joulain , Ali Shakouri

We review recent rigorous mathematical results about the macroscopic behaviour of harmonic chains with the dynamics perturbed by a random exchange of velocities between nearest neighbor particles. The random exchange models the effects of…

Statistical Mechanics · Physics 2015-12-24 Giada Basile , Cédric Bernardin , Milton Jara , Tomasz Komorowski , Stefano Olla

We consider the problem of optimizing heat transport through an incompressible fluid layer. Modeling passive scalar transport by advection-diffusion, we maximize the mean rate of total transport by a divergence-free velocity field. Subject…

Analysis of PDEs · Mathematics 2019-09-18 Charles R. Doering , Ian Tobasco

It can be seen by Dynamic Electrical Analysis that the electrical properties of polyetherimide at temperatures above the glass transition are strongly influenced by space charge. We have studied space charge relaxation in two commercial…

Materials Science · Physics 2021-04-01 M. Mudarra , J. Sellares , J. C. Canadas , J. A. Diego