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Anomalous diffusion and L\'evy flights, which are characterized by the occurrence of random discrete jumps of all scales, have been observed in a plethora of natural and engineered systems, ranging from the motion of molecules to climate…

Dynamical Systems · Mathematics 2023-09-04 Chunxi Jiao , Georg A. Gottwald

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

Measurements of thermal diffusivity in several insulators have been shown to reach a Planckian bound on thermal transport that can be thought of as the limit of validity of semiclassical phonon scattering. Beyond this regime, the heat…

Materials Science · Physics 2021-05-19 Huan-Kuang Wu , Jay Sau

We investigate resonant acoustic phonon scattering in the magneto-resistivity of an ultra-high mobility two-dimensional electron gas system subject to DC current in the temperature range 10 mK to 3.9 K. For a DC current density of $\sim$1.1…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Z. T. Wang , M. Hilke , N. Fong , D. G. Austing , S. A. Studenikin , K. W. West , L. N. Pfeiffer

Physical properties of an interacting system are governed by collective excitations, but their nature at extreme supercritical conditions is unknown. Here, we present direct evidence for propagating solid-like longitudinal phonon-like…

Statistical Mechanics · Physics 2020-04-13 L. Wang , C. Yang , M. T. Dove , A. V. Mokshin , V. V. Brazhkin , K. Trachenko

Ballistic transport and resonance phenomena are elucidated in the one-dimensional $\alpha$-Fermi-Pasta-Ulam-Tsingou (FPUT) model using an approach of computing thermal response functions. The existence of periodic oscillations in spatially…

Statistical Mechanics · Physics 2022-09-14 Nathaniel Bohm , Patrick K. Schelling

Future of silicon-based microelectronics relies on solving the heat dissipation problem. A solution may lie in a nanoscale phenomenon known as ballistic heat conduction, which implies heat conduction without heating the conductor. But,…

Mesoscale and Nanoscale Physics · Physics 2018-09-27 Roman Anufriev , Sergei Gluchko , Sebastian Volz , Masahiro Nomura

We investigate the anharmonic phonon scattering across a weakly interacting interface by developing a quantum mechanics-based theory. We find that the contribution from anharmonic three-phonon scatterings to interfacial thermal conductance…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Hangbo Zhou , Gang Zhang , Jian-Sheng Wang , Yong-Wei Zhang

Anomalous-diffusion, the departure of the spreading dynamics of diffusing particles from the traditional law of Brownian-motion, is a signature feature of a large number of complex soft-matter and biological systems. Anomalous-diffusion…

This work investigates the impact of device length on thermal conductivity in periodic and aperiodic superlattices (SLs). While it is well known that thermal conductivity in aperiodic SLs exhibits a weaker dependence on device length…

Materials Science · Physics 2024-12-23 Theodore Maranets , Yan Wang

Ultrafast thermal transport in low-dimensional materials challenges traditional diffusive models due to reduced scattering, strong electron-phonon coupling, and pronounced non-equilibrium effects. To address these complexities, we extend…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Houssem Rezgui , Chuang Zhang , Clivia Sotomayor-Torres

Phonon surface scattering has been at the core of heat transport engineering in nanoscale structures and devices. Herein, we demonstrate that this phonon pathway can be the sole mechanism only below a characteristic, size-dependent…

The traditional picture of heat transfer in solids by atomic vibrations, also known as phonons, involves phonons scattering with each other like gas particles and is commonly referred to as the phonon gas model (PGM). This physical picture…

Materials Science · Physics 2021-08-11 Andrew Rohskopf , Ruiyang Li , Tengfei Luo , Asegun Henry

We present an analysis of acoustic phonon propagation through long, free-standing, insulating wires with rough surfaces. Due to a crossover from ballistic propagation of the lowest-frequency phonon mode at $\omega <\omega _{1}=\pi c/W$ to a…

Condensed Matter · Physics 2009-10-31 A. Kambili , G. Fagas , Vladimir I. Fal'ko , C. J. Lambert

We consider nanowires in the field effect transistor device configuration. Modeling each nanowire as a one dimensional lattice with random site potentials, we study the heat exchanges between the nanowire electrons and the substrate…

Mesoscale and Nanoscale Physics · Physics 2015-07-28 Riccardo Bosisio , Cosimo Gorini , Geneviève Fleury , Jean-Louis Pichard

The concept of random walk, in which particles or waves undergo multiple collisions with the microscopic constituents of a surrounding medium, is central to understanding diffusive transport across many research areas. However, this…

In 2D XY ferromagnet the dipole force induces a strong interaction between spin-waves in the long-wavelength limit. The major effect of this interaction is the transformation of a propagating spin-wave into a diffusion mode. We study the…

Condensed Matter · Physics 2009-10-28 Ar. Abanov , A. Kashuba , V. L. Pokrovsky

The anomalous propagation of longitudinal ultrasound with the frequencies of 70 and 150 MHz in the high pure Gallium single crystal at the weak external magnetic field (the magnetic field H perpendicular to the wave vector k) at the low…

Superconductivity · Physics 2012-11-06 Anatoly G. Shepelev , Oleg P. Ledenyov , Genady D. Filimonov

In this paper we explore the transport properties of three-component Fermi gases confined to one spatial dimension, interacting via a three-body interaction, in the high temperature limit. At the classical level, the three-body interaction…

Quantum Gases · Physics 2019-12-11 Jeff Maki , Carlos R. Ordóñez

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