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In this essay, we first sketch the development of ideas on the extraordinary dynamics of integrable classical nonlinear and quantum many body Hamiltonians. In particular, we comment on the state of mathematical techniques available for…

强关联电子 · 物理学 2007-05-23 X. Zotos

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…

介观与纳米尺度物理 · 物理学 2018-01-24 Ivan Latella , Svend-Age Biehs , Riccardo Messina , Alejandro W. Rodriguez , Philippe Ben-Abdallah

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…

光学 · 物理学 2026-03-18 Jian Dong , Junming Zhao , Philippe Ben-Abdallah , Linhua Liu

Many-body localized (MBL) systems do not approach thermal equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form distinct dynamical phases of matter, separated by a phase transition at which equilibrium…

无序系统与神经网络 · 物理学 2021-05-25 Sarang Gopalakrishnan , S. A. Parameswaran

Nonintegrability plays a crucial role in thermalization and transport processes in many-body Hamiltonian systems, yet its quantitative effects remain unclear. To reveal the connection between the macroscopic relaxation properties and the…

统计力学 · 物理学 2023-10-20 Weicheng Fu , Zhen Wang , Yisen Wang , Yong Zhang , Hong Zhao

Technological and scientific advances have given rise to an era in which coherent quantum-mechanical phenomena can be probed and experimentally-realised over unprecedented timescales in condensed matter physics. In turn, scientific interest…

量子物理 · 物理学 2021-12-23 Marlon Brenes

We investigate, via numerical simulation, heat transport in the nonequilibrium stationary state (NESS) of the 1D classical Toda chain with an additional pinning potential, which destroys momentum conservation. The NESS is produced by…

数学物理 · 物理学 2018-01-23 Joel L. Lebowitz , Jasen A. Scaramazza

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

统计力学 · 物理学 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

A paradigm for isothermal, mechanical rectification of stochastic fluctuations is introduced in this paper. The central idea is to transform energy injected by random perturbations into rigid-body rotational kinetic energy. The prototype…

概率论 · 数学 2007-10-18 Nawaf Bou-Rabee , Houman Owhadi

In this review paper we aim at illustrating recent achievements in anomalous heat diffusion, while highlighting open problems and research perspectives. We briefly recall the main features of the phenomenon for low-dimensional classical…

统计力学 · 物理学 2020-09-18 Giuliano Benenti , Stefano Lepri , Roberto Livi

We study in momentum-conserving systems, how nonintegrable dynamics may affect thermal transport properties. As illustrating examples, two one-dimensional (1D) diatomic chains, representing 1D fluids and lattices, respectively, are…

统计力学 · 物理学 2014-09-26 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti

The dynamics of a many-body system can take many forms, from a purely reversible evolution to fast thermalization. Here we show experimentally and numerically that an assembly of spin 1 atoms all in the same spatial mode allows one to…

量子气体 · 物理学 2021-02-22 Bertrand Evrard , An Qu , Jean Dalibard , Fabrice Gerbier

In this work, we perform a detailed study of heat transport in one dimensional long-ranged anharmonic oscillator systems, such as the long-ranged Fermi-Pasta-Ulam-Tsingou model. For these systems, the long-ranged anharmonic potential decays…

统计力学 · 物理学 2021-12-21 Debarshee Bagchi

We consider 1D integrable systems supporting ballistic propagation of excitations, perturbed by a localised defect that breaks most conservation laws and induces chaotic dynamics. Focusing on classical systems, we study an…

统计力学 · 物理学 2022-03-09 Giuseppe Del Vecchio Del Vecchio , Andrea De Luca , Alvise Bastianello

Using a generalized Langevin equation of motion, quantum ballistic thermal transport is obtained from classical molecular dynamics. This is possible because the heat baths are represented by random noises obeying quantum Bose-Einstein…

统计力学 · 物理学 2007-10-16 Jian-Sheng Wang

A common wisdom posits that transports of conserved quantities across clean nonintegrable quantum systems at high temperatures are diffusive when probed from the emergent hydrodynamic regime. We show that this empirical paradigm may alter…

强关联电子 · 物理学 2024-09-20 Chun Chen , Yan Chen , Xiaoqun Wang

We study thermal transport in a classical one-dimensional Heisenberg model employing a discrete time odd even precessional update scheme. This dynamics equilibrates a spin chain for any arbitrary temperature and finite value of the…

统计力学 · 物理学 2015-03-20 Debarshee Bagchi , P. K. Mohanty

Heat transport in spin-boson systems near the thermal equilibrium is systematically investigated. An asymptotically exact expression for the thermal conductance in a low-temperature regime wherein transport is described via a co-tunneling…

介观与纳米尺度物理 · 物理学 2018-09-14 Tsuyoshi Yamamoto , Masanari Kato , Takeo Kato , Keiji Saito

Quantum tunneling dominates coherent transport at low temperatures in many systems of great interest. In this work we report a many--body tunneling (MBT), by nonperturbatively solving the Anderson multi-impurity model, and identify it a…

介观与纳米尺度物理 · 物理学 2017-01-24 WenJie Hou , YuanDong Wang , JianHua Wei , ZhenGang Zhu , YiJing Yan

In this Letter a N-body theory for the radiative heat exchange in thermally non equilibrated discrete systems of finite size objects is presented. We report strong exaltation effects of heat flux which can be explained only by taking into…

介观与纳米尺度物理 · 物理学 2015-05-28 Philippe Ben-Abdallah , Svend-Age Biehs , Karl Joulain
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