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The evolution of many stochastic systems is accurately described by random walks on graphs. We here explore the close connection between local steady-state fluctuations of random walks and the global structure of the underlying graph.…

统计力学 · 物理学 2022-10-25 M. Bruderer

Of indisputable relevance for non-equilibrium thermodynamics, fluctuations theorems have been generalized to the framework of quantum thermodynamics, with the notion of work playing a key role in such contexts. The typical approach consists…

量子物理 · 物理学 2023-06-28 Thales Augusto Barbosa Pinto Silva , Renato Moreira Angelo

Results are presented for the quench dynamics of a clean and interacting electron system, where the quench involves varying the strength of the attractive interaction along arbitrary quench trajectories. The initial state before the quench…

超导电性 · 物理学 2019-09-04 Yonah Lemonik , Aditi Mitra

We analytically evaluate the large deviation function in a simple model of classical particle transfer between two reservoirs. We illustrate how the asymptotic large time regime is reached starting from a special propagating initial…

统计力学 · 物理学 2015-06-16 Upendra Harbola , Christian Van den Broeck , Katja Lindenberg

Almost a century ago, Johnson and Nyquist presented evidence of fluctuating electrical current and the governing fluctuation dissipation theorem (FDT). Whether, likewise, temperature T can fluctuate is a controversial topic and has led to…

介观与纳米尺度物理 · 物理学 2019-04-11 Bayan Karimi , Fredrik Brange , Peter Samuelsson , Jukka P. Pekola

In thermodynamics, entropy production and work quantify irreversibility and the consumption of useful energy, respectively, when a system is driven out of equilibrium. For quantum systems, these quantities can be identified at the…

We study stochastic thermodynamics of a Brownian particle which is subjected to a temperature gradient and is confined by an external potential. We first formulate an over-damped Ito-Langevin theory in terms of local temperature, friction…

统计力学 · 物理学 2024-02-22 Mingnan Ding , Jun Wu , Xiangjun Xing

We numerically analyse quantum survival probability fluctuations in an open, classically chaotic system. In a quasi-classical regime, and in the presence of classical mixed phase space, such fluctuations are believed to exhibit a fractal…

凝聚态物理 · 物理学 2009-11-07 Giuliano Benenti , Giulio Casati , Italo Guarneri , Marcello Terraneo

We consider an electron interacting locally with two-level systems (TLSs) as an archetypal model for charge transport in the presence of inelastic scatterers. To assess the importance of quantum effects in the optical and d.c. conductivity…

强关联电子 · 物理学 2025-09-25 Hadi Rammal , Sergio Ciuchi , Simone Fratini

Fluctuation theorem is one of the major achievements in the field of nonequilibrium statistical mechanics during the past two decades. Steady-state fluctuation theorem of sample entropy production rate in terms of large deviation principle…

概率论 · 数学 2016-08-24 Yong Chen , Hao Ge , Jie Xiong , Lihu Xu

We discuss the fluctuation properties of equilibrium chaotic systems with constraints such as iso-kinetic and Nos\'e-Hoover thermostats. Although the dynamics of these systems does not typically preserve phase-space volumes, the average…

统计力学 · 物理学 2009-08-29 T. Gilbert , J. R. Dorfman

We present a stochastic approach for charge transport in transistors. In this approach, the electron and hole densities are governed by diffusion-reaction stochastic differential equations satisfying local detailed balance and the electric…

统计力学 · 物理学 2021-02-08 Jiayin Gu , Pierre Gaspard

We present a fluctuation theorem for Floquet quantum master equations. This is a detailed version of the famous Gallavotti-Cohen theorem. In contrast to the latter theorem, which involves the probability distribution of the total heat…

统计力学 · 物理学 2020-08-26 Fei Liu

The exchange fluctuation theorem for heat exchanged between two systems at different temperatures, when kept in direct contact, has been investigated by C. Jarzynski and D. K. W\'ojcik, in Phys. Rev. Lett. {\bf 92}, 230602 (2004). We extend…

统计力学 · 物理学 2016-01-07 Sourabh Lahiri , A. M. Jayannavar

The fluctuation theorem is a pivotal result of statistical physics. It quantifies the probability of observing fluctuations which are in violation of the second law of thermodynamics. More specifically, it quantifies the ratio of the…

统计力学 · 物理学 2011-08-26 M. Belushkin , R. Livi , G. Foffi

We propose a general framework that unifies the point of view of counting statistics of transmitted (fermionic) charges as it is commonly used in the quantum transport community to the point of view of counting statics of phonons (bosons)…

介观与纳米尺度物理 · 物理学 2015-05-19 R. Avriller

We study electronic transport through a strongly interacting quantum dot by using the finite temperature extension of Wilson's numerical renormalization group (NRG) method. This allows the linear conductance to be calculated at all…

强关联电子 · 物理学 2007-05-23 T. A. Costi

A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady state, by using Schnakenberg network theory. The theorem can be applied, in particular, in reaction systems where the affinities or…

统计力学 · 物理学 2015-06-25 David Andrieux , Pierre Gaspard

We present a derivation of the integral fluctuation theorem (IFT) for isolated quantum systems based on some natural assumptions on transition probabilities. Under these assumptions of "stiffness" and "smoothness" the IFT immediately…

统计力学 · 物理学 2022-08-26 Robin Heveling , Jiaozi Wang , Jochen Gemmer

Non-equilibrium bosonization technique is used to study current fluctuations of interacting electrons in a single-channel quantum wire representing a Luttinger liquid (LL) conductor. An exact expression for the full counting statistics of…

强关联电子 · 物理学 2010-12-14 D. B. Gutman , Yuval Gefen , A. D. Mirlin