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In this Chapter, we present recent theoretical developments on the finite temperature transport of one dimensional electronic and magnetic quantum systems as described by a variety of prototype models. In particular, we discuss the…

强关联电子 · 物理学 2007-05-23 X. Zotos , P. Prelovsek

In this work we analyze the simultaneous emergence of diffusive energy transport and local thermalization in a nonequilibrium one-dimensional quantum system, as a result of integrability breaking. Specifically, we discuss the local…

统计力学 · 物理学 2016-11-21 J. J. Mendoza-Arenas , S. R. Clark , D. Jaksch

We investigate a class of periodically driven many-body systems that allows us to extend the phenomenon of prethermalization to the vicinity of isolated intermediate-to-low drive frequencies away from the high-frequency limit. We provide…

统计力学 · 物理学 2021-05-05 Christoph Fleckenstein , Marin Bukov

A model calculation is given for the energy relaxation of a non-equilibrium distribution of hot electrons prepared in a metallic sample that has been subjected to homogeneous photo-excitation by a femtosecond laser pulse. The model assumes…

统计力学 · 物理学 2009-11-11 Navinder Singh

We deal with dynamics of the~$\beta$-Fermi-Pasta-Ulam-Tsingou chain with one free end, subjected to the sinusoidal periodic force. We examine evolution of the total energy, supplied at large times. In the harmonic case~($\beta=0$), the…

统计力学 · 物理学 2024-04-11 Sergei D. Liazhkov

Thermostated tethered harmonic lattices provide good illustrations of the phase-space dimensionality loss which occurs in the strange-attractor distributions characterizing stationary nonequilibrium flows. We use time-reversible…

混沌动力学 · 物理学 2007-05-23 Harald A. Posch , William G. Hoover

Thermal transport properties of amorphous carbon has attracted increasing attention due to its extreme thermal properties: It has been reported to have among the highest thermal conductivity for bulk amorphous solids up to $\sim$ 37…

无序系统与神经网络 · 物理学 2024-05-14 Jaeyun Moon , Zhiting Tian

Over the past decade, substantial progress has been made in clarifying a central question of the Fermi-Pasta-Ulam-Tsingou problem: whether weakly nonlinear lattice systems thermalize and, if so, through what mechanisms. The current…

统计力学 · 物理学 2026-03-25 Weicheng Fu , Zhen Wang , Wei Lin , Dahai He , Jiao Wang , Yong Zhang , Hong Zhao

We theoretically investigate transport in a spin incoherent one dimensional electron system, which may be realized in quantum wires at low electron density and finite temperature. Both the pure and disordered cases are considered, both in…

介观与纳米尺度物理 · 物理学 2007-05-23 Gregory A. Fiete , Karyn Le Hur , Leon Balents

The linear response to temperature variations is well characterised for equilibrium systems but a similar theory is not available, for example, for inertial heat conducting systems, whose paradigm is the Fermi-Pasta-Ulam (FPU) model driven…

统计力学 · 物理学 2018-02-09 Federico D'Ambrosio , Marco Baiesi

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

统计力学 · 物理学 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

Isotropic integrable spin chains such as the Heisenberg model feature superdiffusive spin transport belonging to an as-yet-unidentified dynamical universality class closely related to that of Kardar, Parisi, and Zhang (KPZ). To determine…

We consider a linear chain of quantum harmonic oscillators, in which the number of the individual oscillators is given by an arbitrary number N, and each oscillator is coupled at an arbitrary strength kappa to its nearest neighbors…

统计力学 · 物理学 2014-04-04 Ilki Kim

We investigate the steady-state transport characteristics of a quantum dot system consisting of a single energy level embedded between two reservoirs under the influence of both the temperature gradient and bias voltage. Within tailored…

介观与纳米尺度物理 · 物理学 2024-08-16 Yanchao Zhang , Xiaolong Lü

Strongly correlated systems are often associated with an underlying quantum critical point which governs their behavior in the finite temperature phase diagram. Their thermodynamical and transport properties arise from critical fluctuations…

量子气体 · 物理学 2020-06-19 Bernhard Frank , Wilhelm Zwerger , Tilman Enss

Inspired by recent studies on deterministic oscillator models, we introduce a stochastic one-dimensional model for a chain of interacting particles. The model consists of $N$ oscillators performing continuous-time random walks on the…

统计力学 · 物理学 2026-02-04 Emilio N. M. Cirillo , Matteo Colangeli , Claudio Giberti , Lamberto Rondoni

We consider the stationary states of a chain of $n$ anharmonic coupled oscillators, whose deterministic hamiltonian dynamics is perturbed by random independent sign change of the velocities (a random mechanism that conserve energy). The…

统计力学 · 物理学 2015-05-28 Cedric Bernardin , Stefano Olla

Integrable models such as the spin-1/2 Heisenberg chain, the Lieb-Liniger or the one-dimensional Hubbard model are known to avoid thermalization, which was also demonstrated in several quantum-quench experiments. Another dramatic…

强关联电子 · 物理学 2017-02-28 C. Karrasch , T. Prosen , F. Heidrich-Meisner

The Langevin equation is ubiquitously employed to numerically simulate plasmas, colloids and electrolytes. However, the usual assumption of white noise becomes untenable when the system is subject to an external AC electric field. This is…

等离子体物理 · 物理学 2025-01-07 Daniele Gamba , Bingyu Cui , Alessio Zaccone

Quantum simulation methods based on density-functional theory are currently deemed unfit to cope with atomic heat transport within the Green-Kubo formalism, because quantum-mechanical energy densities and currents are inherently ill-defined…

材料科学 · 物理学 2016-01-20 Aris Marcolongo , Paolo Umari , Stefano Baroni
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