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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 discuss how to detect fluctuating spin currents and derive full counting statistics of electron spin transfers. It is interesting to consider several detectors in series that simultaneously monitor different components of the spins…

Condensed Matter · Physics 2009-11-10 Antonio Di Lorenzo , Yuli V. Nazarov

We derive a universal bound on the large-deviation functions of particle currents in coherent conductors. This bound depends only on the mean value of the relevant current and the total rate of entropy production required to maintain a…

Statistical Mechanics · Physics 2025-10-24 Kay Brandner , Keiji Saito

We report the statistical properties of the fluctuations of the energy flux in an electronic RC circuit driven with a stochastic voltage. The fluctuations of the power injected in the circuit are measured as a function of the damping rate…

Statistical Mechanics · Physics 2009-05-06 Claudio Falcón , Eric Falcon

We reconcile the phenomenon of mesoscopic conductance fluctuations with the single parameter scaling theory of the Anderson transition. We calculate three averages of the conductance distribution: $\exp(<\ln g>)$, $<g>$ and $1/<R>$ where…

Disordered Systems and Neural Networks · Physics 2009-11-07 Keith Slevin , Peter Markoš , Tomi Ohtsuki

It is shown that conductance fluctuations due to phase coherent ballistic transport through a chaotic cavity generically are fractals. The graph of conductance vs. externally changed parameter, e.g. magnetic field, is a fractal with…

Condensed Matter · Physics 2009-10-28 Roland Ketzmerick

Employing a real time effective action formalism we analyze electron transport and current fluctuations in comparatively short coherent conductors in the presence of electron-electron interactions. We demonstrate that, while Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Dmitri S. Golubev , Artem V. Galaktionov , Andrei D. Zaikin

This article gives a rigorous analysis of the fluctuations of the Bose-Einstein condensate for a system of non-interacting bosons in an arbitrary potential, assuming that the system is governed by the canonical ensemble. As a result of the…

Probability · Mathematics 2014-03-05 Sourav Chatterjee , Persi Diaconis

We consider the bilocal conductivity tensor, the two-probe conductance and its fluctuations for a disordered phase-coherent two-dimensional system of non-interacting electrons in the presence of a magnetic field, including correctly the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Shanhui Xiong , N. Read , A. Douglas Stone

The theory of current transport in a narrow superconducting channel accounting for thermal fluctuations is developed. These fluctuations result in the appearance of small but finite dissipation in the sample. The value of corresponding…

Superconductivity · Physics 2009-10-15 Yu. N. Ovchinnikov , A. A. Varlamov

As devices to control spin currents using the spin-orbit interaction are proposed and implemented, it is important to understand the fluctuations that spin-orbit coupling can impose on transmission through a quantum dot. Using random matrix…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Jacob J. Krich

We analyze charge fluctuations in a parasitic state strongly coupled to a superconducting Josephson-junction-based charge detector. The charge dynamics of the state resembles that of electron transport in a quantum dot with two charge…

We explore the distribution of paths followed in fluctuation-induced switching between coexisting stable states. We introduce a quantitative characteristic of the path distribution in phase space that does not require a priori knowledge of…

Statistical Mechanics · Physics 2009-11-13 H. B. Chan , M. I. Dykman , C. Stambaugh

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 report the first measurement of high order cumulants of the current fluctuations in an avalanche diode run through by a stationary dc current. Such a system is archetypic of devices in which transport is governed by a collective…

Statistical Mechanics · Physics 2014-10-08 J. Gabelli , B. Reulet

This article is a mini-review about electrical current flows in networks from the perspective of statistical physics. We briefly discuss analytical methods to solve the conductance of an arbitrary resistor network. We then turn to basic…

Statistical Mechanics · Physics 2007-10-08 S. Redner

It has been predicted that in the presence of a sufficiently high-dissipative environment transport in a small tunnel junction can become extremely regular, giving rise to the phenomenon of single-electron tunneling oscillations. Recent…

Mesoscale and Nanoscale Physics · Physics 2012-03-14 Carlotta Negri , Fabio Pistolesi

Most systems, when pushed out of equilibrium, respond by building up currents of locally-conserved observables. Understanding how microscopic dynamics determines the averages and fluctuations of these currents is one of the main open…

Statistical Mechanics · Physics 2010-09-08 Pablo I. Hurtado , Pedro L. Garrido

Statistical properties of the critical current distribution in superconductor with fractal clusters of a normal phase are considered. It is found that there is the range of fractal dimensions in which the variance and expectation for this…

Superconductivity · Physics 2015-06-24 Yuriy I. Kuzmin

Interacting particles diffusing in single-file is a fundamental model of transport in narrow channels where particles cannot bypass each other. An important result has been obtained by Kollmann [Phys. Rev. Lett. 90, 180602 (2003)] for the…

Statistical Mechanics · Physics 2025-07-24 Théotim Berlioz , Olivier Bénichou , Aurélien Grabsch