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We derive an inequality relating the finite-frequency linear response and fluctuations of an observable in a physical system. The relation holds for arbitrary observables and perturbations in general Markovian dynamics, including over- and…

Statistical Mechanics · Physics 2025-10-20 Andreas Dechant

We discuss various measures of net charge (conserved quantities) fluctuations proposed for the identification of critical phenomena in heavy ion collisions. We show the dynamical component of fluctuations of the net charge can be expressed…

Nuclear Experiment · Physics 2009-11-07 C. Pruneau , S. Gavin , S. Voloshin

The frequency-dependent spectrum of current fluctuations through nano-scale channels is studied using analytical and computational techniques. Using a stochastic Nernst-Planck description and neglecting the interactions between the ions…

Statistical Mechanics · Physics 2018-04-04 Mira Zorkot , Ramin Golestanian

Electron transport in nano-scale structures is strongly influenced by the Coulomb interaction which gives rise to correlations in the stream of charges and leaves clear fingerprints in the fluctuations of the electrical current. A complete…

Mesoscale and Nanoscale Physics · Physics 2012-01-11 Niels Ubbelohde , Christian Fricke , Christian Flindt , Frank Hohls , Rolf J. Haug

We consider frequency fluctuations in self-sustained oscillators based on nonlinear underdamped resonators. An important type of such resonators are nano- and micro-electro-mechanical systems. Various noise sources are considered, with the…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 N. J. Miller , S. W. Shaw , M. I. Dykman

We present a new class of fluctuation relations, to which we will refer as Fluctuation Relations for Current Components (FRCCs). FRCCs can be used to estimate system parameters when complete information about nonequilibrium many-body…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Sriram Ganeshan , N. A. Sinitsyn

We study fluctuations of electric current in a quantum resistor and derive a general quantum-mechanical formula for the distribution of transmitted charge. For that we introduce a scheme of current measurement that involves a spin $1/2$…

Condensed Matter · Physics 2007-05-23 L. S. Levitov , G. B. Lesovik

The regularized vacuum fluctuation related to a conformally coupled massless scalar field defined on a space-time with dynamical horizon is computed with respect a radially moving observer in a generic flat Friedmann-Robertson-Walker…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Giovanni Acquaviva , Luca Bonetti , Luciano Vanzo , Sergio Zerbini

We present the most complete scattering theory for noise in noninteracting case. The exact formula for spectral density of current fluctuations at finite frequency is presented in terms of scattering matrix for a coherent quantum conductor.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. B. Lesovik

The ability to approach a physical phenomenon and grasp its major importance is a remarkable quality of understanding. This paper presents a rather elegant and novel way of looking at the resonance phenomenon, which among others shares a…

Classical Physics · Physics 2022-08-29 Adel Alameh

The fluctuation in electric current in nonequilibrium steady states is investigated by molecular dynamics simulation of macroscopically uniform conductors. At low frequencies, appropriate decomposition of the spectral intensity of current…

Statistical Mechanics · Physics 2015-05-13 Tatsuro Yuge , Akira Shimizu

We consider the current fluctuations in a mesoscopic circuit consisting of nodes connected by arbitrary connectors, in a setup with multiple normal or superconducting terminals. In the limit of weak superconducting proximity effect,…

Superconductivity · Physics 2007-05-23 P. Virtanen , T. T. Heikkila

We evaluate the average and the standard deviation of the supercurrent in superconducting nanobridges, as functions of the temperature and the phase difference, in an equilibrium situation. We also evaluate the autocorrelation of the…

Superconductivity · Physics 2013-05-30 Jorge Berger

Tensor networks are employed to characterize the current fluctuations in one-dimensional diffusion-reaction systems. The representative system under study is a semiconducting material where holes and electrons constitute two types of charge…

Statistical Mechanics · Physics 2025-12-16 Jiayin Gu

We put forward a relation between the static charge fluctuations and the conductance of correlated many-fermion systems at zero temperature, avoiding the use of time-dependent fluctuations as in the fluctuation-dissipation theorem. Static…

Strongly Correlated Electrons · Physics 2022-04-18 Yuchi He , Dante M. Kennes , Volker Meden

Transition to the reflective scattering mode results in the increasing role of the multiplicity fluctuations of quantum origin and its asymptotic dominance. We note here the feasibility to experimentally detect presence of quantum…

High Energy Physics - Phenomenology · Physics 2025-10-14 S. M. Troshin , N. E. Tyurin

We consider arrays of Josephson junctions as well as single junctions in both the classical and quantum-mechanical regimes, and examine the generalized (frequency-dependent) resistance, which describes the dynamic responses of such…

Condensed Matter · Physics 2009-10-31 Mahn-Soo Choi , M. Y. Choi , Sung-Ik Lee

Observing finite regions of a bigger system is a common experience, from microscopy to molecular simulations. In the latter especially, there is ongoing interest in predicting thermodynamic properties from tracking fluctuations in finite…

Soft Condensed Matter · Physics 2023-02-08 Thê Hoang Ngoc Minh , Benjamin Rotenberg , Sophie Marbach

We derive fluctuation-dissipation relations for a tunnel junction driven by a high impedance microwave resonator, displaying strong quantum fluctuations. We find that the fluctuation-dissipation relations derived for classical forces hold,…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 O. Parlavecchio , C. Altimiras , J. -R. Souquet , P. Simon , I. Safi , P. Joyez , D. Vion , P. Roche , D. Esteve , F. Portier

We present measurements of the fourth and fifth cumulants of the distribution of transmitted charge in a tunable quantum dot. We investigate how the measured statistics is influenced by the finite bandwidth of the detector and by the finite…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 S. Gustavsson , R. Leturcq , T. Ihn , K. Ensslin , M. Reinwald , W. Wegscheider