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We study the distribution of resistance fluctuations of conducting thin films with different levels of internal disorder. The film is modeled as a resistor network in a steady state determined by the competition between two biased…

Disordered Systems and Neural Networks · Physics 2009-11-10 C. Pennetta , E. Alfinito , L. Reggiani , S. Ruffo

Experimental work has shown that non-equilibrium concentration fluctuations arise during free diffusion in fluids and theoretical analysis has been carried on. The results show that, in usual three-dimensional fluids, the phenomenon is…

Fluid Dynamics · Physics 2016-08-31 Doriano Brogioli , Alberto Vailati

We show, using the macroscopic fluctuation theory of Bertini, De Sole, Gabrielli, Jona-Lasinio, and Landim, that the statistics of the current of the symmetric simple exclusion process (SSEP) connected to two reservoirs are the same on an…

Statistical Mechanics · Physics 2013-06-14 Eric Akkermans , Thierry Bodineau , Bernard Derrida , Ohad Shpielberg

We study the distribution of the time-integrated current in an exactly-solvable toy model of heat conduction, both analytically and numerically. The simplicity of the model allows us to derive the full current large deviation function and…

Statistical Mechanics · Physics 2009-11-13 Pablo I. Hurtado , Pedro L. Garrido

We investigate fluctuations in the average speed or current of a self-interacting diffusion (SID) on a ring, mimicking the non-Markovian behaviour of an agent influenced by its own path. We derive the SID's phase diagram, showing a…

Statistical Mechanics · Physics 2024-12-16 Francesco Coghi

The fluctuation-dissipation relation (FDR) links thermal fluctuations and dissipation at thermal equilibrium through temperature. Extending it beyond equilibrium conditions in pursuit of broadening thermodynamics is often feasible, albeit…

Statistical Mechanics · Physics 2025-02-04 Dima Boriskovsky , Benjamin Lindner , Yael Roichman

We consider fluctuations of the dissipated energy in nonlinear driven diffusive systems subject to bulk dissipation and boundary driving. With this aim, we extend the recently-introduced macroscopic fluctuation theory to nonlinear driven…

Statistical Mechanics · Physics 2013-10-29 P. I. Hurtado , A. Lasanta , A. Prados

Characterizing current fluctuations in a steady state is of fundamental interest and has attracted considerable attention in the recent past. However, the bulk of the studies are limited to systems that either do not exhibit a phase…

Statistical Mechanics · Physics 2024-12-05 Tanmoy Chakraborty , Punyabrata Pradhan , Kavita Jain

We study a large deviation functional of density fluctuation by analyzing stochastic non-linear diffusion equations driven by the difference between the densities fixed at the boundaries. By using a fundamental equality that yields the…

Statistical Mechanics · Physics 2009-11-13 Shin-ichi Sasa

This review article discusses limit distributions and variance bounds for particle current in several dynamical stochastic systems of particles on the one-dimensional integer lattice: independent particles, independent particles in a random…

Probability · Mathematics 2010-07-01 Timo Seppäläinen

Systems of many nanoparticles or volume-discretized bodies exhibit collective radiative properties that could be used for enhanced, guided, or tunable thermal radiation. These are commonly treated as assemblies of point dipoles with…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Eric J. Tervo , Mathieu Francoeur , Baratunde A. Cola , Zhuomin M. Zhang

We study reaction-diffusion systems where diffusion is by jumps whose sizes are distributed exponentially. We first study the Fisher-like problem of propagation of a front into an unstable state, as typified by the A+B $\to$ 2A reaction. We…

Statistical Mechanics · Physics 2009-11-11 Elisheva Cohen , David A. Kessler

We analyze the behavior of the superconducting-fluctuations contribution to diamagnetism and conductivity in a model system having current-current interactions. We show that in proximity to a Mott-insulating phase one recovers an overall…

Superconductivity · Physics 2012-01-10 L. Fanfarillo , L. Benfatto , C. Castellani

The scattering picture of electron transport in mesoscopic conductors shows that fluctuations of the current reveal additional information on the scattering mechanism not available through the conductance alone. The electronic fluctuations…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 Matthias Hübler , Wolfgang Belzig

The distribution of waiting times between successive tunneling events is an already established method to characterize current fluctuations in mesoscopic systems. Here, I investigate mechanisms generating correlations between subsequent…

Mesoscale and Nanoscale Physics · Physics 2017-01-23 Krzysztof Ptaszynski

We have investigated the mechanism at the origin of the infra-red radiation emitted by a biased tunnel junction by detecting photons at frequencies $\nu<eV/h$. To address this regime, the bias voltage $V$ exceeds one volt and the potential…

Mesoscale and Nanoscale Physics · Physics 2017-11-06 Pierre Février , Julien Gabelli

We study the energy current and its fluctuations in quantum gapless 1d systems far from equilibrium modeled by conformal field theory, where two separated halves are prepared at distinct temperatures and glued together at a point contact.…

Strongly Correlated Electrons · Physics 2012-08-29 Denis Bernard , Benjamin Doyon

We consider heat fluctuations and fluctuation theorems for systems driven by multiple reservoirs. We establish a fundamental symmetry obeyed by the joint probability distribution for the heat transfers and system coordinates. The symmetry…

Statistical Mechanics · Physics 2014-10-03 Hans C. Fogedby , Alberto Imparato

Charge noise in semiconducting quantum dots has been observed to have a 1/f spectrum. We propose a model in which a pair of quantum dots are coupled to a 2D bath of fluctuating two level systems (TLS) that have electric dipole moments and…

Mesoscale and Nanoscale Physics · Physics 2024-03-15 D. L. Mickelsen , Herve M. Carruzzo , Clare C. Yu

The response of thermodynamic systems perturbed out of an equilibrium steady-state is described by the reciprocal and the fluctuation-dissipation relations. The so-called fluctuation theorems extended the study of fluctuations far beyond…

Statistical Mechanics · Physics 2020-02-21 Matteo Polettini , Massimiliano Esposito