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The fluctuation dissipation theorem (FDT) is the basis for a microscopic description of the interaction between electromagnetic radiation and matter.By assuming the electromagnetic radiation in thermal equilibrium and the interaction in the…

Statistical Mechanics · Physics 2018-05-22 Lino Reggiani , Eleonora Alfinito

The famous Johnson-Nyquist formula relating noise current to conductance has a microscopic generalization relating noise current density to microscopic conductivity, with corollary relations governing noise in the components of the…

Computational Physics · Physics 2013-08-27 M. T. Homer Reid , Alejandro W. Rodriguez , Steven G. Johnson

In linear transport, the fluctuation-dissipation theorem relates equilibrium current correlations to the linear conductance coefficient. Theory and experiment have shown that in small electrical conductors the non-linear I-V-characteristic…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Heidi Forster , Markus Buttiker

Though electrical noise and conduction current are assigned to corpuscle-like electrons drifting in solid matter, this model hardly fits in the Fluctuation-Dissipation framework. However, fluctuations of energy due to displacements of…

Other Condensed Matter · Physics 2025-07-17 Jose-Ignacio Izpura

We analyze high-field current fluctuations in degenerate conductors by mapping the electronic Fermi-liquid correlations at equilibrium to their semiclassical non-equilibrium form. Our resulting Boltzmann description is applicable to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Frederick Green , Mukunda P Das

We present fluctuation relations that connect spin-polarized current and noise in mesoscopic conductors. In linear response, these relations are equivalent to the fluctuation-dissipation theorem that relates equilibrium current--current…

Mesoscale and Nanoscale Physics · Physics 2014-01-14 Jong Soo Lim , David Sanchez , Rosa Lopez

We experimentally demonstrate the validity of non-equilibrium fluctuation relations by using a quantum coherent conductor. In equilibrium the fluctuation-dissipation relation leads to the correlation between current and current noise at the…

We consider stochastic motion of a particle on a cyclic graph with arbitrarily periodic time dependent kinetic rates. We demonstrate duality relations for statistics of currents in this model and in its continuous version of a diffusion in…

Statistical Mechanics · Physics 2015-03-19 Jie Ren , V. Y. Chernyak , N. A. Sinitsyn

In linear transport, the fluctuation-dissipation theorem relates equilibrium current correlations to the linear conductance coefficient. For nonlinear transport, there exist fluctuation relations that rely on Onsager's principle of…

Mesoscale and Nanoscale Physics · Physics 2008-10-29 H. Forster , M. Buttiker

We study the statistical properties of currents in two particular systems of capacitively coupled parallel transport channels. In the first system, each transport channel contains a single quantum dot in contact with two electron…

Mesoscale and Nanoscale Physics · Physics 2013-10-03 Gregory Bulnes Cuetara

We analyze the noise in a multi-terminal multi-channel conductor under arbitrary time-dependent driving and subject to -- possibly large -- static potential and temperature biases. We show that the full out-of-equilibrium zero-frequency…

Mesoscale and Nanoscale Physics · Physics 2025-09-10 Ludovico Tesser , José Balduque , Janine Splettstoesser

The counting statistics of electron transport is theoretically studied in a system with two capacitively coupled parallel transport channels. Each channel is composed of a quantum dot connected by tunneling to two reservoirs. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Gregory Bulnes Cuetara , Massimiliano Esposito , Pierre Gaspard

We have analyzed the spectral density of fluctuations of the energy flux through a mesoscopic constriction between two equilibrium reservoirs. It is shown that at finite frequencies, the fluctuating energy flux is not related to the thermal…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Dmitri V. Averin , Jukka P. Pekola

We calculate the radiation noise level associated with the spontaneous emission of a coherently driven medium. The significant field-induced modification of relation between the noise power and damping constant in a thermal reservoir is…

Quantum Physics · Physics 2016-04-13 Maria Erukhimova , Mikhail Tokman

The charge fluctuations of two nearby mesoscopic conductors coupled only via the long range Coulomb force are discussed and used to find the dephasing rate which one conductor exerts on the other. The discussion is based on a formulation of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Markus Buttiker

Electron transport in a self-consistent potential along a ballistic two-terminal conductor has been investigated. We have derived general formulas which describe the nonlinear current-voltage characteristics, differential conductance, and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 O. M. Bulashenko , J. M. Rubi

We consider a superconducting loop with two weak links that encloses a magnetic flux. The weak links are unequal and are treated as Josephson junctions with non-sinusoidal phase dependence. We devise a model that takes into account the…

Superconductivity · Physics 2007-05-23 Jorge Berger

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 use a recently proved fluctuation theorem for the currents to develop the response theory of nonequilibrium phenomena. In this framework, expressions for the response coefficients of the currents at arbitrary orders in the thermodynamic…

Statistical Mechanics · Physics 2015-05-13 D. Andrieux , P. Gaspard

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
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