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Ballistic transport, realized when the system size is smaller than the mean free path of energy carriers, is traditionally regarded as the ultimate limit for energy transfer. Here, we predict a superballistic radiative heat transport regime…

Optics · Physics 2026-03-18 Jian Dong , Junming Zhao , Philippe Ben-Abdallah , Linhua Liu

We report a numerical investigation on the heat transfer through one dimensional arrays of metallic nanoparticles closely spaced in a host material. Our simulations show that the multipolar interactions play a crucial role in the heat…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Philippe Ben-Abdallah , Karl Joulain , Jérémie Drevillon , Clément Le Goff

Previous studies have suggested a crossover from superdiffusive to normal heat transport in one-dimensional (1D) anharmonic oscillator systems with a double-well type interatomic interaction like $V(\xi)=-\xi^2/2+\xi^4/4$, when the system…

Statistical Mechanics · Physics 2016-04-22 Daxing Xiong

Radiative heat-transport mediated by near-field interactions is known to be superdiffusive in dilute, many-body systems. In this Letter we use a generalized Landauer theory of radiative heat transfer in many-body planar systems to…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Ivan Latella , Svend-Age Biehs , Riccardo Messina , Alejandro W. Rodriguez , Philippe Ben-Abdallah

Along with device miniaturization, severe heat accumulation at unexpected nanoscale hotspots attracts wide attentions and urges efficient thermal management. Heat convection is one of the important heat dissipating paths but its mechanism…

Applied Physics · Physics 2022-08-22 Yanru Xu , Shen Xu , Jingchao Zhang , Jianshu Gao , Shugang Deng , Wenxiang Liu , Xinwei Wang , Xin Zhang , Yanan Yue

Superdiffusion is an anomalous transport behavior. Recently, a new mechanism, termed the ``nodal mechanism," has been proposed to induce superdiffusion in quantum models. However, existing realizations of the nodal mechanism have so far…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 Shaofeng Huang , Yu-Peng Wang , Jie Ren , Chen Fang

It is known that one-dimensional anomalous heat propagation is usually characterized by a L\'{e}vy walk superdiffusive spreading function with two side peaks located on the fronts due to the finite velocity of acoustic phonons, and in the…

Statistical Mechanics · Physics 2018-07-25 Daxing Xiong , Yong Zhang

There has been much interest in semiconductor superlattices because of showing very low thermal conductivities. This makes them especially suitable for applications in a variety of devices for thermoelectric generation of energy, heat…

Statistical Mechanics · Physics 2020-02-06 Federico Vázquez , Péter Ván , Róbert Kovács

Investigating the behavior of noninteracting fermions subjected to local dephasing, we reveal that quasi-particle dephasing can induce superdiffusive transport. This superdiffusion arises from nodal points within the momentum distribution…

Statistical Mechanics · Physics 2023-12-18 Yu-Peng Wang , Chen Fang , Jie Ren

Continuous-time random walks combining diffusive scattering and ballistic propagation on lattices model a class of L\'evy walks. The assumption that transitions in the scattering phase occur with exponentially-distributed waiting times…

Statistical Mechanics · Physics 2015-06-11 Giampaolo Cristadoro , Thomas Gilbert , Marco Lenci , David P. Sanders

A normal-diffusion theory for heat transfer in many-body systems via carriers of thermal photons is developed. The thermal conductivity tensor is rigorously derived from fluctuational electrodynamics as a coefficient of diffusion term for…

Applied Physics · Physics 2022-11-04 Minggang Luo , Junming Zhao , Linhua Liu

In the Heliosphere, power-law particle distributions are observed e.g. upstream of interplanetary shocks, which can result from superdiffusive transport. This non-Gaussian transport regime may result from intermittent magnetic field…

High Energy Astrophysical Phenomena · Physics 2024-12-25 Sophie Aerdker , Lukas Merten , Frederic Effenberger , Horst Fichtner , Julia Becker Tjus

We study specific properties of particles transport by exploring an exact solvable model, a so-called comb structure, where diffusive transport of particles leads to subdiffusion. A performance of L\'evy -- like process enriches this…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Baskin , A. Iomin

Here, we outline a theory of radiative heat transfer based on an equivalent electrical network representation for the hot material slabs in an arbitrary multilayered environment with arbitrary distribution of temperatures and…

Transport and diffusion of heat in one dimensional (1D) nonlinear systems which {\it conserve momentum} is typically thought to proceed anomalously. Notable exceptions, however, exist of which the rotator model is a prominent case.…

Statistical Mechanics · Physics 2015-05-05 Yunyun Li , Sha Liu , Nianbei Li , Peter Hanggi , Baowen Li

L\'evy walks (LWs) are spatiotemporally coupled random-walk processes describing superdiffusive heat conduction in solids, propagation of light in disordered optical materials, motion of molecular motors in living cells, or motion of…

Statistical Mechanics · Physics 2020-07-01 Pengbo Xu , Tian Zhou , Ralf Metzler , Weihua Deng

We study heat transport in a one-dimensional chain of a finite number $N$ of identical cells, coupled at its boundaries to stochastic particle reservoirs. At the center of each cell, tracer particles collide with fixed scatterers,…

Statistical Mechanics · Physics 2022-04-10 Pierre Collet , Jean-Pierre Eckmann , Carlos Mejia-Monasterio

It is recognised now that a variety of real-life phenomena ranging from diffuson of cold atoms to motion of humans exhibit dispersal faster than normal diffusion. L\'evy walks is a model that excelled in describing such superdiffusive…

Statistical Mechanics · Physics 2017-01-03 V. Zaburdaev , I. Fouxon , S. Denisov , E. Barkai

Here, we develop a theory of radiative heat transfer based on an equivalent electrical network representation for the hot material slabs in an arbitrary multilayered environment with arbitrary distribution of temperatures and…

Anomalous diffusion processes, in particular superdiffusive ones, are known to be efficient strategies for searching and navigation by animals and also in human mobility. One way to create such regimes are L\'evy flights, where the walkers…

Physics and Society · Physics 2017-02-22 Sarah de Nigris , Timoteo Carletti , Renaud Lambiotte
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