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Although a system is described by a well-known set of equations leading to a deterministic behavior, in the real world the value of a measurand obtained by an experiment will mostly scatter. Accordingly, an uncertainty is associated with…

Data Analysis, Statistics and Probability · Physics 2019-06-24 Markus Schiebl

We investigate in this work the effects of interaction on the fluctuation of empirical measures. The systems with positive definite interaction potentials tend to exhibit smaller fluctuation compared to the fluctuation in standard Monte…

Probability · Mathematics 2022-04-19 Lei Li , Jiaheng Chen

We argue that the results presented by M. Semeraro et al. [Phys. Rev. Lett. 131, 158302 (2023)] for the work fluctuations of an active Ornstein-Uhlenbeck particle trapped in a harmonic potential are incomplete and partly inexact due to the…

Statistical Mechanics · Physics 2024-02-13 M. L. Rosinberg , G. Tarjus , T. Munakata

This is a comment on arXiv:1402.6767 (2014) by Y. Imura, T. Okubo, S. Morita, and K. Okunishi.

Statistical Mechanics · Physics 2016-07-19 Hiroaki Matsueda , Ching Hua Lee , Yoichiro Hashizume

We propose an Ansatz for Universal conductance fluctuations in continuous dimensions from 0 up to 4. The Ansatz agrees with known formulas for integer dimensions 1, 2 and 3, both for hard wall and periodic boundary conditions. The method is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Igor Travenec

This is a comment on Phys. Rev. A 67, 022104(2003).

Atomic Physics · Physics 2007-05-23 Guowu Meng

A simple class of chaotic systems in a random environment is considered and the fluctuation theorem is extended under the assumption of reversibility.

Chaotic Dynamics · Physics 2008-02-01 F. Bonetto , G. Gallavotti , G. Gentile

We present a short survey on fluctuation-enhanced gas sensing. We compare some of its main characteristics with those of classical sensing. We address the problem of linear response, information channel capacity, missed alarms and false…

General Physics · Physics 2009-11-13 L. B. Kish , G. Schmera , Ch. Kwan , J. Smulko , P. Heszler , C. -G. Granqvist

Reply to the Comment on "Unified Formulism of Andreev Reflection at a Ferromagnetic/Superconductor Interface" by Eschrig et al

Superconductivity · Physics 2013-02-12 T. Y. Chen , C. L. Chien

In this lecture we clarify the basic difference between the correlation properties for systems characterized by small or large fluctuations. The concepts of correlation length, homogeneity scale, scale invariance and criticality are…

Astrophysics · Physics 2007-05-23 Francesco Sylos Labini , Andrea Gabrielli

Order parameter fluctuations for the two dimensional Ising model in the region of the critical temperature are presented. A locus of temperatures T*(L) and of magnetic fields B*(L) are identified, for which the probability density function…

Statistical Mechanics · Physics 2009-11-10 Maxime Clusel , Jean-Yves Fortin , Peter C. W. Holdsworth

Fluctuation theorems are fundamental results in non-equilibrium thermodynamics. Considering the fluctuation theorem with respect to the entropy production and an observable, we derive a new thermodynamic uncertainty relation which also…

Statistical Mechanics · Physics 2022-02-02 Gianluca Francica

This is an overview article on finite type invariants, written for the Encyclopedia of Mathematical Physics

Geometric Topology · Mathematics 2007-05-23 Dror Bar-Natan

We derive a general scheme to obtain quantum fluctuation relations for dynamical observables in open quantum systems. For concreteness we consider Markovian non-unitary dynamics that is unraveled in terms of quantum jump trajectories, and…

Quantum Physics · Physics 2021-07-14 Stefano Marcantoni , Carlos Pérez-Espigares , Juan P. Garrahan

We describe how the effect of charge noise on a pair of spins coupled via the exchange interaction can be calculated by modelling charge fluctuations as a random telegraph noise process using probability density functions. We develop…

Quantum Physics · Physics 2013-05-29 M. J. Testolin , J. H. Cole , L. C. L. Hollenberg

In their recent paper [Phys. Rev. Lett. 98, 094101 (2007)], A. Porporato et al. studied the irreversibility and fluctuation theorem for stationary time series. In this comment, we point out that the fluctuation theorem is in fact the…

Statistical Mechanics · Physics 2007-05-23 C. Van den Broeck , B. Cleuren

This special issue collects contributions from the participants of the "Information in Dynamical Systems and Complex Systems" workshop, which cover a wide range of important problems and new approaches that lie in the intersection of…

Chaotic Dynamics · Physics 2015-05-19 Erik M. Bollt , Jie Sun

A fluctuation relation for aging systems is introduced, and verified by extensive numerical simulations. It is based on the hypothesis of partial equilibration over phase space regions in a scenario of entropy-driven relaxation. The…

Statistical Mechanics · Physics 2013-04-18 A. Crisanti , M. Picco , F. Ritort

In this study, we rederive the fluctuation theorems in presence of feedback, by assuming the known Jarzynski equality and detailed fluctuation theorems. We first reproduce the already known work theorems for a classical system, and then…

Statistical Mechanics · Physics 2015-05-30 Sourabh Lahiri , Shubhashis Rana , A. M. Jayannavar

The article is devoted to mathematical methods of experimental detection of interactive phenomena in complex systems and their analysis.

General Mathematics · Mathematics 2007-05-23 Denis V. Juriev
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