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We derive the fluctuation theorem for quantum-state statistics that can be obtained when we initially measure the total energy of a quantum system at thermal equilibrium, let the system evolve unitarily, and record the quantum-state data…

Statistical Mechanics · Physics 2018-08-01 Naoto Tsuji , Masahito Ueda

We establish the fluctuation theorem in the presence of information exchange between a nonequilibrium system and other degrees of freedom such as an observer and a feedback controller, where the amount of information exchange is added to…

Statistical Mechanics · Physics 2015-06-05 Takahiro Sagawa , Masahito Ueda

Thermal fluctuations affect the dynamics of systems near critical points, the evolution of the early universe, and two-particle correlations in heavy-ion collisions. For the latter, numerical simulations of nearly-ideal, relativistic fluids…

Nuclear Theory · Physics 2015-06-16 Clint Young

Three different definitions of effective temperature -- $\mathcal{T}_{\rm k}$, $\mathcal{T}_{\rm i}$ and $\mathcal{T}_{\rm r}$ related to kinetic theory, system entropy and response theory, respectively -- are applied in the description of…

Statistical Mechanics · Physics 2021-06-14 João R. Medeiros , Sílvio M. Duarte Queirós

We calculate current-current correlation functions and find an expression for the zero-frequency noise of multiterminal systems driven by harmonically time-dependent voltages within the Keldysh non-equilibrium Green's functions formalism.…

Mesoscale and Nanoscale Physics · Physics 2012-08-02 Alvaro Caso , Liliana Arrachea , Gustavo S. Lozano

Indirect measurement can be used to read out the outcome of a quantum system without resorting to a straightforward approach, and it is the foundation of the measurement uncertainty relations that explain the incompatibility of conjugate…

Quantum Physics · Physics 2022-08-09 Ryo Mihashi , Yoshihiko Hasegawa

We investigate the temperature uncertainty relation in nonequilibrium probe-based temperature estimation process. We demonstrate that it is the fluctuation of heat that fundamentally determines temperature precision through the…

Quantum Physics · Physics 2024-08-13 Ning Zhang , Si-Yuan Bai , Chong Chen

The measurement of thermal fluctuations provides information about the microscopic state of a thermodynamic system and can be used in order to extract work from a single heat bath in a suitable cyclic process. We present a minimal framework…

Statistical Mechanics · Physics 2015-06-03 Léo Granger , Holger Kantz

As CMOS technology scales down, thermal fluctuations increasingly impact circuit behavior, posing challenges to conventional circuit design. However, the inherent stochasticity introduced by thermal noise is now being explored as a…

Biologically driven non-equilibrium fluctuations are often characterized by their non-Gaussianity or by an "effective temperature", which is frequency dependent and higher than the ambient temperature. We address these two measures…

Biological Physics · Physics 2011-06-16 Eyal Ben-Isaac , YongKeun Park , Gabriel Popescu , Frank L. H. Brown , Nir S. Gov , Yair Shokef

We discuss an extension of the fluctuation theorem to stochastic models that, in the limit of zero external drive, are not able to equilibrate with their environment, extending results presented by Sellitto (cond-mat/9809186). We show that…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. Zamponi , F. Bonetto , L. F. Cugliandolo , J. Kurchan

We study a granular gas heated by a stochastic thermostat in the dilute limit. Starting from the kinetic equations governing the evolution of the correlation functions, a Boltzmann-Langevin equation is constructed. The spectrum of the…

Statistical Mechanics · Physics 2010-06-11 P. Maynar , M. I. Garcia de Soria , E. Trizac

We review the general aspects of the concept of temperature in equilibrium and non-equilibrium statistical mechanics. Although temperature is an old and well-established notion, it still presents controversial facets. After a short…

Statistical Mechanics · Physics 2017-11-13 A. Puglisi , A. Sarracino , A. Vulpiani

We investigate the dynamics of single microparticles immersed in water that are driven out of equilibrium in the presence of an additional external colored noise. As a case study, we trap a single polystyrene particle in water with optical…

Statistical Mechanics · Physics 2014-09-17 Pau Mestres , Ignacio A. Martinez , Antonio Ortiz-Ambriz , Raul A. Rica , Edgar Roldan

Thermal energy agitates all matter and its competition with ordering tendencies is one of the most fundamental organizing principles in the physical world. Thus, it is natural to enquire if an effective temperature could result when…

Statistical Mechanics · Physics 2018-09-10 Ming Han , Jing Yan , Steve Granick , Erik Luijten

We describe some interesting effects observed during the evolution of nonequilibrium systems, using domain growth and glassy systems as examples. We breafly discuss the analytical tools that have been recently used to study the dynamics of…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo

We present a complete framework of stochastic thermodynamics for a single-mode linear optical cavity driven on resonance. We first show that the steady-state intra-cavity field follows the equilibrium Boltzmann distribution. The effective…

We analyze the validity of the fluctuation-dissipation theorem for slow relaxation systems in the context of mesoscopic nonequilibrium thermodynamics. We demonstrate that the violation arises as a natural consequence of the elimination of…

Statistical Mechanics · Physics 2009-11-07 A. Perez-Madrid , D. Reguera , J. M. Rubi

The Jarzynski equality allows the calculation of free-energy differences using values of work measured from nonequilibrium trajectories. The number of trajectories required to accurately estimate free-energy differences in this way grows…

Statistical Mechanics · Physics 2025-05-13 Stephen Whitelam

When modelling time series, it is common to decompose observed variation into a "signal" process, the process of interest, and "noise", representing nuisance factors that obfuscate the signal. To separate signal from noise, assumptions must…

Methodology · Statistics 2020-11-11 Richard Creswell , Ben Lambert , Chon Lok Lei , Martin Robinson , David Gavaghan