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As a fundamental measure of stability in nonequilibrium thermodynamics, fluctuations provide critical insight into the performance and reliability of heat engines. In this work, we establish universal fluctuation-dissipation bounds that…

统计力学 · 物理学 2026-01-13 Ousi Pan , Zhiqiang Fan , Shunjie Zhang , Jie Li , Jincan Chen , Shanhe Su

The weak noise limit of dissipative dynamical systems is often the most fascinating one. In such a case fluctuations can interact with a rich complexity frequently hidden in deterministic systems to give rise of completely new phenomena…

统计力学 · 物理学 2021-09-15 Jakub Spiechowicz , Jerzy Łuczka

We consider the effect of noise on the dynamics generated by volume-preserving maps on a d-dimensional torus. The quantity we use to measure the irreversibility of the dynamics is the dissipation time. We focus on the asymptotic behaviour…

动力系统 · 数学 2009-11-10 A. Fannjiang , S. Nonnenmacher , L. Wolowski

We here present the complete analysis of experiments on driven Brownian motion and electric noise in a $RC$ circuit, showing that thermodynamic entropy production can be related to the breaking of time-reversal symmetry in the statistical…

We discuss the emergence of non-stationarity in open quantum many-body systems. This leads us to the definition of dissipative time crystals which display experimentally observable, persistent, time-periodic oscillations induced by noisy…

量子物理 · 物理学 2022-11-28 Cameron Booker , Berislav Buča , Dieter Jaksch

We consider a chain of $n$ coupled oscillators placed on a one-dimensional lattice with periodic boundary conditions. The interaction between particles is determined by a weakly anharmonic potential $V_n = r^2/2 + \sigma_nU(r)$, where $U$…

概率论 · 数学 2020-07-21 Lu Xu

We study the effect of intrinsic noise on the thermodynamic balance of complex chemical networks subtending cellular metabolism and gene regulation. A topological network property called deficiency, known to determine the possibility of…

分子网络 · 定量生物学 2015-11-12 Matteo Polettini , Artur Wachtel , Massimiliano Esposito

We study numerically the damping of quantum oscillations and the increase of entropy with time in model spin systems decohered by a spin bath. In some experimentally relevant cases, the oscillations of considerable amplitude can persist…

量子物理 · 物理学 2007-05-23 V. V. Dobrovitski , H. A. De Raedt , M. I. Katsnelson , B. N. Harmon

The assumption that quantum systems relax to a stationary state in the long-time limit underpins statistical physics and much of our intuitive understanding of scientific phenomena. For isolated systems this follows from the eigenstate…

量子物理 · 物理学 2019-04-16 Berislav Buca , Joseph Tindall , Dieter Jaksch

Inspired by the observation of a distributed time delay in the nonlinear response of an optical resonator, we investigate the effects of a similar delay on a noise-driven mechanical oscillator. For a delay time that is commensurate with the…

光学 · 物理学 2022-02-16 K. J. H. Peters , S. R. K. Rodriguez

The fluctuation-dissipation relation is usually formulated for a system interacting with a heat bath at finite temperature in the context of linear response theory, where only small deviations from the mean are considered. We show that for…

量子物理 · 物理学 2013-07-11 C. H. Fleming , B. L. Hu , Albert Roura

The quantum dynamics of two weakly coupled nonlinear oscillators is analytically and numerically investigated in the context of nonlinear dissipation. The latter facilitates the creation and preservation of non-classical steady states.…

量子物理 · 物理学 2013-08-09 Aurora Voje , Andreas Isacsson , Alexander Croy

We study the dynamics of fronts when both inertial effects and external fluctuations are taken into account. Stochastic fluctuations are introduced as multiplicative noise arising from a control parameter of the system. Contrary to the…

统计力学 · 物理学 2009-10-31 Jose M. Sancho , Angel Sanchez

We give a proof of transient fluctuation relations for the entropy production (dissipation function) in nonequilibrium systems, which is valid for most time reversible dynamics. We then consider the conditions under which a transient…

统计力学 · 物理学 2009-11-13 Debra J. Searles , Lamberto Rondoni , Denis J. Evans

Biological and engineered systems operate by coupling function to the transfer of heat and/or particles down a thermal or chemical gradient. In idealized \textit{deterministically} driven systems, thermodynamic control can be exerted…

统计力学 · 物理学 2016-01-06 Benjamin B. Machta

In order to respond to environmental signals, cells often use small molecular circuits to transmit information about their surroundings. Recently, motivated by concrete examples in signaling and gene regulation, a body of work has focused…

分子网络 · 定量生物学 2020-01-08 P. Szymańska-Rożek , D. Villamaina , J. Miȩkisz , A. M. Walczak

We study the dynamics of a class of Hamiltonian systems with dissipation, coupled to noise, in a singular (small mass) limit. We derive the homogenized equation for the position degrees of freedom in the limit, including the presence of a…

数学物理 · 物理学 2017-09-19 Jeremiah Birrell , Jan Wehr

In this paper, we present a novel framework for quantifying a lower bound on resilience in continuous-time (non)linear systems subject to external disturbances while ensuring satisfaction of signal temporal logic specifications. Unlike…

系统与控制 · 电气工程与系统科学 2026-04-17 Ratnangshu Das , Negar Monir , Youssef Ait Si , Adnane Saoud , Sadegh Soudjani , Pushpak Jagtap

All clocks, in some form or another, use the evolution of nature towards higher entropy states to quantify the passage of time. Due to the statistical nature of the second law and corresponding entropy flows, fluctuations fundamentally…

介观与纳米尺度物理 · 物理学 2021-05-12 A. N. Pearson , Y. Guryanova , P. Erker , E. A. Laird , G. A. D. Briggs , M. Huber , N. Ares

The connection between dissipation and symmetry breaking is a long-standing enigma in statistical physics. It is intimately connected to the quest of a non-equilibrium functional whose minimization gives the non-equilibrium steady state…

统计力学 · 物理学 2023-02-03 Matteo Sireci , Daniel Maria Busiello