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The Kubo fluctuation-dissipation theorem relates the current fluctuations of a system in an equilibrium state with the linear AC-conductance. This theorem holds also out of equilibrium provided that the system is in a stationary state and…

介观与纳米尺度物理 · 物理学 2009-11-10 U. Gavish , Y. Imry , B. Yurke

Fluctuation dissipation theorems connect the linear response of a physical system to a perturbation to the steady-state correlation functions. Until now, most of these theorems have been derived for finite-dimensional systems. However, many…

统计力学 · 物理学 2019-08-22 Mohammad Mehboudi , Juan. M. R. Parrondo , Antonio Acin

We study the response of a quantum system induced by a collision with a quantum particle, using the time-independent framework of scattering theory. After deriving the dynamical map for the quantum system, we show that it encodes a…

量子物理 · 物理学 2025-09-18 Samuel L. Jacob , John Goold

We develop a very general perturbative theory of time-dependent transport in a weak tunneling junction which is independent of experimental details and on many-body correlated states in the coupled conductors. These can be similar or…

介观与纳米尺度物理 · 物理学 2014-01-24 Ines Safi

The analysis of the response to driving in the case of weakly chaotic or weakly interacting systems should go beyond linear response theory. Due to the "sparsity" of the perturbation matrix, a resistor network picture of transitions between…

量子物理 · 物理学 2013-01-22 Doron Cohen

Linear response theory plays a prominent role in various fields of physics and provides us with extensive information about the thermodynamics and dynamics of quantum and classical systems. Here we develop a general theory for the linear…

量子气体 · 物理学 2022-01-10 Doru Sticlet , Balázs Dóra , Cătălin Paşcu Moca

Understanding how systems respond to external perturbations is a fundamental challenge in physics, particularly for non-equilibrium and non-stationary processes. The fluctuation-dissipation theorem provides a complete framework for…

统计力学 · 物理学 2026-05-06 Jiming Zheng , Zhiyue Lu

Fluctuation theorem is derived for a quantum current system around a nonequilibrium steady state. It is demonstrated that the fluctuation theorem can be a part of the generalized Green-Kubo formula or a nonlinear response theory of an…

统计力学 · 物理学 2011-03-30 Hisao Hayakawa

The fluctuation-dissipation theorem (FDT) is a central result in statistical physics, both for classical and quantum systems. It establishes a relationship between the linear response of a system under a time-dependent perturbation and time…

量子物理 · 物理学 2018-05-28 Mohammad Mehboudi , Anna Sanpera , Juan M. R. Parrondo

Nonlinear electrical response permits a unique window into effects of band structure geometry. It can be calculated either starting from a Boltzmann approach for small frequencies, or using Kubo's formula for resonances at finite frequency.…

介观与纳米尺度物理 · 物理学 2023-04-26 Daniel Kaplan , Tobias Holder , Binghai Yan

The inference of causal relationships among observed variables is a pivotal, longstanding problem in the scientific community. An intuitive method for quantifying these causal links involves examining the response of one variable to…

统计力学 · 物理学 2025-03-27 Gabriele Di Antonio , Gianni Valerio Vinci

We present a physically inspired generalization of equilibrium response formulae, the fluctuation-dissipation theorem, to Markov jump processes possibly describing interacting particle systems out-of-equilibrium. Here, the time-dependent…

数学物理 · 物理学 2015-05-05 Christian Maes , Bram Wynants

An overview is given of recent advances in the nonequilibrium statistical mechanics of quantum systems and, especially, of time-reversal symmetry relations that have been discovered in this context. The systems considered are driven out of…

介观与纳米尺度物理 · 物理学 2015-06-04 Pierre Gaspard

The effect of a change of noise amplitudes in overdamped diffusive systems is linked to their unperturbed behavior by means of a nonequilibrium fluctuation-response relation. This formula holds also for systems with state-independent…

The fluctuation-dissipation theorem is a hallmark of equilibrium system that stem from their time-reversal symmetry. In many non-equilibrium systems, in particular active ones, extensions and explicit violations of this theorem are used to…

统计力学 · 物理学 2026-04-06 Mathias Casiulis , Leticia F. Cugliandolo

We have considered the nonlinear response of mesoscopic systems of non-interacting electrons to the time-dependent external field. In this consideration the inelastic processes have been neglected and the electron thermalization occurs due…

介观与纳米尺度物理 · 物理学 2009-10-31 V. I. Yudson , E. Kanzieper , V. E. Kravtsov

We use a recently proved fluctuation theorem for the currents to develop the response theory of nonequilibrium phenomena. In this framework, expressions for the response coefficients of the currents at arbitrary orders in the thermodynamic…

统计力学 · 物理学 2015-05-13 D. Andrieux , P. Gaspard

We show that an appropriately defined fluctuation-dissipation theorem, connecting generalized susceptibilities and time correlation functions, is valid for times shorter than the nucleation time of the metastable state of Markovian systems…

统计力学 · 物理学 2009-11-10 G. Baez , H. Larralde , F. Leyvraz , R. A. Mendez-Sanchez

It has recently been pointed out that Hamiltonian particle systems in constant magnetic fields satisfy generalized time-reversal symmetries that enable to prove useful statistical relationships based on equilibrium phase-space probability…

统计力学 · 物理学 2021-02-24 Alessandro Coretti , Lamberto Rondoni , Sara Bonella

Semi-linear response theory determines the absorption coefficient of a driven system using a resistor network calculation: Each unperturbed energy level of a particle in a vibrating trap, or of an electron in a mesoscopic ring, is regarded…

介观与纳米尺度物理 · 物理学 2010-11-18 Alexander Stotland , Tsampikos Kottos , Doron Cohen
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