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We combine theoretical and experimental efforts to propose a method for studying energy fluctuations, in particular, to obtain the related bi-stochastic matrix of transition probabilities by means of simple measurements at the end of a…

Quantum Physics · Physics 2021-07-21 Marcela Herrera , John P. S. Peterson , Roberto M. Serra , Irene D'Amico

The influence of dissipation on the fluctuation statistics of the total energy is investigated through both a phenomenological and a stochastic model for dissipative energy-transfer through a cascade of states. In equilibrium the states…

Statistical Mechanics · Physics 2013-06-27 Eric Bertin , Peter C. W. Holdsworth

We consider heat exchange processes between non-equilibrium aging systems (in their activated regime) and the thermal bath in contact. We discuss a scenario where two different heat exchange processes concur in the overall heat dissipation:…

Soft Condensed Matter · Physics 2009-11-10 A. Crisanti , F Ritort

It is shown that if kinetics of quantum transitions takes account of energy uncertainty of intermediate states, then it creates non-decaying correlations and non-averagable (flicker) fluctuations in the energy as well as in rates of…

Statistical Mechanics · Physics 2018-12-21 Yuriy E. Kuzovlev

Time-integrated state observables, which quantify the fraction of time spent by the system in a specific pool of states, are important in many fields, such as chemical sensing or the theory of fluorescence spectroscopy. We derive exact…

Statistical Mechanics · Physics 2026-02-23 Krzysztof Ptaszynski , Timur Aslyamov , Massimiliano Esposito

The existence of power-law distributions is only a first requirement in the validation of the critical behavior of a system. Long-range spatio-temporal correlations are fundamental for the spontaneous neuronal activity to be the expression…

Statistical Mechanics · Physics 2018-11-27 Fabrizio Lombardi , Hans J. Herrmann , L. de Arcangelis

We have recently shown that in non-equilibrium spin systems at criticality the limit $\Xin$ of the fluctuation-dissipation ratio X(t,tw) for t >> tw >> 1 can be measured using observables such as magnetization or energy [Phys. Rev.\ E {\bf…

Statistical Mechanics · Physics 2007-05-23 Peter Mayer , Ludovic Berthier , Juan P. Garrahan , Peter Sollich

Changing some of its parameters over time is a paradigmatic way of driving an otherwise isolated many-body quantum system out of equilibrium, and a vital ingredient for building quantum computers and simulators. Here, we further develop a…

Quantum Physics · Physics 2024-11-06 Lennart Dabelow , Peter Reimann

We provide a link between response theory, pullback measures, and optimal fingerprinting method that paves the way for a) predicting the impact of acting forcings on time-dependent systems and b) attributing observed anomalies to acting…

Statistical Mechanics · Physics 2026-04-10 Valerio Lucarini

Understanding the relationship between complexity and stability in large dynamical systems -- such as ecosystems -- remains a key open question in complexity theory which has inspired a rich body of work developed over more than fifty…

Populations and Evolution · Quantitative Biology 2021-07-14 Yvonne Krumbeck , Qian Yang , George W. A. Constable , Tim Rogers

We study the statistics of the fluctuating electron temperature in a metallic island coupled to reservoirs via resistive contacts and driven out of equilibrium by either a temperature or voltage difference between the reservoirs. The…

Mesoscale and Nanoscale Physics · Physics 2013-04-04 Tero T. Heikkila , Yuli Nazarov

Intermittent transitions, associated with critical dynamics and characterized by power-law distributions, are commonly observed during sleep. These critical behaviors are evident at the microscopic level through neuronal avalanches and at…

Physics and Society · Physics 2025-03-28 Xiyun Zhang , Bojun Wang , Hongjie Bi

We consider the linear response of a system modelled by continuous-time random walks (CTRW) to an external field pulse of rectangular shape. We calculate the corresponding response function explicitely and show that it exhibits aging, i.e.…

Statistical Mechanics · Physics 2009-11-07 I. M. Sokolov , A. Blumen , J. Klafter

Understanding how systems respond to external perturbations is fundamental to statistical physics. For systems far from equilibrium, a general framework for response remains elusive. While progress has been made on the linear response of…

Statistical Mechanics · Physics 2026-03-04 Ruicheng Bao , Shiling Liang

The use of linear response theory for forced dissipative stochastic dynamical systems through the fluctuation dissipation theorem is an attractive way to study climate change systematically among other applications. Here, a mathematically…

Mathematical Physics · Physics 2019-02-26 Martin Hairer , Andrew J Majda

We present a fluctuation relation for heat dissipation in a nonequilibrium system. A nonequilibrium work is known to obey the fluctuation theorem in any time interval $t$. A heat, which differs from a work by an energy change, is shown to…

Statistical Mechanics · Physics 2012-06-19 Jae Dong Noh , Jong-Min Park

Gaussian macroscopic fluctuation theory underpins the understanding of noise in a broad class of nonequilibrium systems. We derive exact fluctuation-response relations linking the power spectral density of stationary fluctuations to the…

Statistical Mechanics · Physics 2026-02-11 Timur Aslyamov , Krzysztof Ptaszyński , Massimiliano Esposito

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…

Statistical Mechanics · Physics 2015-05-13 D. Andrieux , P. Gaspard

Near field radiative heat transfer and dynamic Casimir forces are just two instances of topics of technological and fundamental interest studied via the formalism of fluctuational electrodynamics. From the perspective of experiment and…

Quantum Physics · Physics 2015-06-16 Vladyslav A. Golyk , Matthias Krüger , Mehran Kardar

The relation between spontaneous and stimulated global brain activity is a fundamental problem in the understanding of brain functions. This question is investigated both theoretically and experimentally within the context of nonequilibrium…

Neurons and Cognition · Quantitative Biology 2020-09-07 A. Sarracino , O. Arviv , O. Shriki , L. de Arcangelis