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We consider a measurement of finite-frequency current fluctuations, using a resonance circuit as a model for the detector. We arrive at an expression for the measurable response in terms of the current-current correlators which differs from…

Mesoscale and Nanoscale Physics · Physics 2008-03-04 G. B. Lesovik , R. Loosen

Continuously measured quantum systems are characterized by an output current, in the form of a stochastic and correlated time series which conveys crucial information about the underlying quantum system. The many tools used to describe…

Quantum Physics · Physics 2025-12-19 Gabriel T. Landi , Michael J. Kewming , Mark T. Mitchison , Patrick P. Potts

The ground state of a phase-coherent mesoscopic system is sensitive to its environment. We investigate the persistent current of a ring with a quantum dot which is capacitively coupled to an external circuit with a dissipative impedance. At…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Pascal Cedraschi , Vadim V. Ponomarenko , Markus Buttiker

In order to illuminate the properties of current fluctuations in more than one dimension, we use a lattice-based Markov process driven into a non-equilibrium steady state. Specifically, we perform a detailed study of the particle current…

Statistical Mechanics · Physics 2016-03-21 Rodrigo Villavicencio-Sanchez , Rosemary J. Harris

Phase transitions not allowed in equilibrium steady states may happen however at the fluctuating level. We observe for the first time this striking and general phenomenon measuring current fluctuations in an isolated diffusive system. While…

Statistical Mechanics · Physics 2011-10-31 Pablo I. Hurtado , Pedro L. Garrido

Measurement of odd moments of current fluctuations is difficult due to strict requirements for band-pass filtering. We propose how these requirements can be overcome using cyclostationary driving of the measured signal and indicate how the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tero T. Heikkila , Leif Roschier

Electric current in semiconductors is considered as a function of time. Nonequilibrium fluctuations of the current are studied for strongly nonuniform samples. It is demonstrated that at special conditions the total electric current through…

Condensed Matter · Physics 2009-10-31 V. I. Yukalov , E. P. Yukalova

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 calculate the fluctuations in the current and energy densities for the case of a quantized, minimally coupled, massless, complex scalar field around a straight and infinitesimally thin cosmic string carrying magnetic flux. At zero…

General Relativity and Quantum Cosmology · Physics 2009-10-31 L. Sriramkumar

This paper reports a relation between ionic conductivity and electric current fluctuations. The relation was derived using statistical analysis and entropy approach. The relation can be used to calculate ionic conductivity.

Statistical Mechanics · Physics 2016-07-26 Yong-Jun Zhang

We present measurements of the time-dependent fluctuations in electrical current in a voltage-biased tunnel junction. We were able to simultaneously extract the first three moments of the tunnel current counting statistics. Detailed…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 Yu. Bomze , G. Gershon , D. Shovkun , L. S. Levitov , M. Reznikov

Measurements of any property of a microscopic system are bound to show significant deviations from the average, due to thermal fluctuations. For time-integrated currents such as heat, work or entropy production in a steady state, it is in…

Statistical Mechanics · Physics 2022-08-22 Sreekanth K Manikandan , Biswajit Das , Raunak Dey , Avijit Kundu , Ayan Banerjee , Supriya Krishnamurthy

The very notion of a current fluctuation is problematic in the quantum context. We study that problem in the context of nonequilibrium statistical mechanics, both in a microscopic setup and in a Markovian model. Our answer is based on a…

Statistical Mechanics · Physics 2015-05-14 Jan Derezinski , Wojciech De Roeck , Christian Maes

We show that current fluctuations in a stochastic pump can be robustly mapped to fluctuations in a corresponding time-independent nonequilibrium steady state. We thus refine a recently proposed mapping so that it ensures equivalence of not…

Statistical Mechanics · Physics 2017-03-22 Grant M. Rotskoff

We present a stochastic approach for ion transport at the mesoscopic level. The description takes into account the self-consistent electric field generated by the fixed and mobile charges as well as the discrete nature of these latter. As…

Statistical Mechanics · Physics 2015-03-17 David Andrieux , Pierre Gaspard

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

The Landauer-B\"uttiker formalism provides a simple and insightful way for investigating many phenomena in mesoscopic physics. By this approach we derive general formulas for the energy properties and apply them to the basic setups. Of…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Danilo Sergi

A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady state, by using Schnakenberg network theory. The theorem can be applied, in particular, in reaction systems where the affinities or…

Statistical Mechanics · Physics 2015-06-25 David Andrieux , Pierre Gaspard

The feasibility of measuring high-order current correlators by means of a linear detector is analyzed. Two different types of measurements are considered: measurement of fluctuation power spectrum and measurement of unequal-time current…

Mesoscale and Nanoscale Physics · Physics 2009-06-03 K. V. Bayandin , A. V. Lebedev , G. B. Lesovik

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
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