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Energy transport in one-dimensional chains of particles with three conservation laws is generically anomalous and belongs to the Kardar-Parisi-Zhang dynamical universality class. Surprisingly, some examples where an apparent normal heat…

Statistical Mechanics · Physics 2020-09-16 Stefano Lepri , Roberto Livi , Antonio Politi

Heat conduction in one-dimensional (1D) systems is studied based on an analytical S-matrix method, which is developed in the mesoscopic electronic transport theory and molecular dynamic (MD) simulations. It is found that heat conduction in…

Statistical Mechanics · Physics 2007-05-23 Xin Zhou , Mitsumasa Iwamoto

Correlations between electrical and thermal conduction in polymer composites are blurred due to the complex contribution of charge and heat carriers at the nanoscale junctions of filler particles. Conflicting reports on the lack or…

Applied Physics · Physics 2022-10-18 Navid Sarikhani , Zohreh S. Arabshahi , Abbas Ali Saberi , Alireza Z. Moshfegh

We consider three one-dimensional continuous-time Markov processes on a lattice, each of which models the conduction of heat: the family of Brownian Energy Processes with parameter $m$, a Generalized Brownian Energy Process, and the…

Mathematical Physics · Physics 2015-06-19 Mark A. Peletier , Frank Redig , Kiamars Vafayi

In a recent paper [Phys. Rev. Lett. 86, 63 (2001)], Li et al have reported that the nonequilibrium heat conducting steady state of a disordered harmonic chain is not unique. In this comment we point out that for a large class of stochastic…

Statistical Mechanics · Physics 2009-11-07 Abhishek Dhar

We investigate heat conduction in a one-dimensional chain of rigid rotors. The rotors are constrained to rotate in a plane about fixed pivot points and coupled by springs, such that in equilibrium, the neighboring rotors lie on opposite…

Statistical Mechanics · Physics 2025-11-19 T. R. Vishnu , Dibyendu Roy

We numerically study the thermal transport in the classical inertial nearest-neighbor XY ferromagnet in $d=1,2,3$, the total number of sites being given by $N=L^d$, where $L$ is the linear size of the system. For the thermal conductance…

Statistical Mechanics · Physics 2023-02-14 Constantino Tsallis , Henrique Santos Lima , Ugur Tirnakli , Deniz Eroglu

Thermal convection in fluid layers heated from below are usually realized experimentally as well as treated theoretically with fixed boundaries on which conditions for the temperature and the velocity field are prescribed. The thermal and…

Fluid Dynamics · Physics 2011-02-08 R. D. Simitev , F. H. Busse

Heat conduction of one-dimensional chain of equivalent rigid particles in the field of external on-site potential is considered. Zero diameters of the particles correspond to exactly integrable case with divergent heat conduction…

Condensed Matter · Physics 2009-11-10 O. V. Gendelman , A. V. Savin

The heat equation, based on Fourier's law, is commonly used for description of heat conduction. However, Fourier's law is valid under the assumption of local thermodynamic equilibrium, which is violated in very small dimensions and short…

Statistical Mechanics · Physics 2024-08-05 S. A. Rukolaine

Efficiently capturing the three-dimensional spatiotemporal distributions of temperature is of great significance for alleviating hotspot issues in 3D FinFETs. However, most previous thermal simulations mainly focused on the steady-state…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Chuang Zhang , Ziyang Xin , Qin Lou , Hong Liang

Constraints are found on the spatial variation of finite-time Lyapunov exponents of two and three-dimensional systems of ordinary differential equations. In a chaotic system, finite-time Lyapunov exponents describe the average rate of…

Chaotic Dynamics · Physics 2009-10-31 Jean-Luc Thiffeault , Allen H. Boozer

Numerical methods are developed to solve the problem of abnormal changes of current (conductivity) in polymer composite films which may be used as current, pressure or temperature sensors. General nonlinear model includes the heat equation,…

Materials Science · Physics 2014-10-31 D. V. Vlasov

This work addresses the simulation of heat flow and electric currents in thin wires. An important application is the use of bond wires in microelectronic chip packaging. The heat distribution is modeled by an electrothermal coupled problem,…

Computational Engineering, Finance, and Science · Computer Science 2020-02-04 Thorben Casper , Ulrich Römer , Sebastian Schöps , Herbert De Gersem

Electron trapping following exposition to ionising radiations and consequent electron release during variation of temperature in solids represent processes happening at the quantum microphysical level. The interesting feature of the…

General Physics · Physics 2008-12-05 Elio Conte , Joseph P. Zbilut

We study the conductance of phase-coherent disordered quantum wires focusing on the case in which the number of conducting channels is imbalanced between two propagating directions. If the number of channels in one direction is by one…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yositake Takane , Shingo Iwasaki , Yuka Yoshioka , Masayuki Yamamoto , Katsunori Wakabayashi

We study heat conduction in a one-dimensional chain of particles with longitudinal as well as transverse motions. The particles are connected by two-dimensional harmonic springs together with bending angle interactions. The problem is…

Statistical Mechanics · Physics 2009-11-10 Jian-Sheng Wang , Baowen Li

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 study heat conduction and diffusion in silicon nanowires (SiNWs) systematically by using non-equilibrium molecular dynamics. It is found that the thermal conductivity of SiNWs diverges with the length, even when the length is up to 1,100…

Materials Science · Physics 2010-02-19 Nuo Yang , Gang Zhang , Baowen Li

Among the many physical properties, the amorphous state manifests itself in the most spectacular way in heat transport. Anomalously low thermal conductivity, its low-temperature dependence as a function of temperature, the presence of a…

Disordered Systems and Neural Networks · Physics 2020-12-01 A. I. Krivchikov , A. Jeżowski