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We show how to apply the macroscopic fluctuation theory (MFT) of Bertini, De Sole, Gabrielli, Jona-Lasinio, and Landim to study the current fluctuations of diffusive systems with a step initial condition. We argue that one has to…

统计力学 · 物理学 2015-05-13 B. Derrida , A. Gerschenfeld

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…

介观与纳米尺度物理 · 物理学 2008-04-12 Yu. Bomze , G. Gershon , D. Shovkun , L. S. Levitov , M. Reznikov

We analyze here in details the probability to find a given number of particles in a finite volume inside a normal or superfluid finite system. This probability, also known as counting statistics, is obtained using projection operator…

核理论 · 物理学 2020-01-22 Denis Lacroix , Sakir Ayik

We show that the fluctuations of the partial current in two dimensional diffusive systems are dominated by vortices leading to a different scaling from the one predicted by the hydrodynamic large deviation theory. This is supported by exact…

统计力学 · 物理学 2009-11-13 T. Bodineau , B. Derrida , J. Lebowitz

We study the fluctuations of the current J(t) of the totally asymmetric exclusion process with open boundaries. Using a density matrix renormalization group approach, we calculate the cumulant generating function of the current. This…

统计力学 · 物理学 2015-05-20 Mieke Gorissen , Carlo Vanderzande

We investigate theoretically the noise and the full counting statistics of electrons that are emitted from a superconductor into two spatially separated quantum dots by the splitting of Cooper pairs and further on collected in two…

介观与纳米尺度物理 · 物理学 2020-05-21 Nicklas Walldorf , Fredrik Brange , Ciprian Padurariu , Christian Flindt

We formulate a general path integral approach which describes statistics of current fluctuations in mesoscopic coherent conductors at arbitrary frequencies and in the presence of interactions. Applying this approach to the non-interacting…

介观与纳米尺度物理 · 物理学 2009-11-10 D. S. Golubev , A. V. Galaktionov , A. D. Zaikin

We introduce and solve a model of fermions hopping between neighbouring sites on a line with random Brownian amplitudes and open boundary conditions driving the system out of equilibrium. The average dynamics reduces to that of the…

统计力学 · 物理学 2019-10-22 Denis Bernard , Tony Jin

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…

凝聚态物理 · 物理学 2009-11-10 Antonio Di Lorenzo , Yuli V. Nazarov

In our previous publication [Kogan et al, Phys. Rev. {\bf 48}, 9404 (1993)] we considered the issue of statistics of radiation diffusively propagating in a disordered medium. The consideration was in the framework of diagrammatic techniques…

凝聚态物理 · 物理学 2009-10-22 Eugene Kogan , Moshe Kaveh

One of the main features of statistical systems out of equilibrium is the currents they exhibit in their stationary state: microscopic currents of probability between configurations, which translate into macroscopic currents of mass,…

统计力学 · 物理学 2016-01-05 Alexandre Lazarescu

The time-integrated current of the TASEP has non-Gaussian fluctuations of order $t^{1/3}$. The recently discovered connection to random matrices and the Painlev\'e II Riemann-Hilbert problem provides a technique through which we obtain the…

统计力学 · 物理学 2007-05-23 M. Praehofer , H. Spohn

We provide a detailed investigation on the fluctuations of the currents in the discrete model of Feynman's ratchet proposed by Jarzynski and Mazonka in 1999. Two macroscopic currents are identified, with the corresponding affinities…

统计力学 · 物理学 2022-08-17 Yu-Xin Wu , Jiayin Gu , H. T. Quan

We consider the weakly asymmetric simple exclusion process on a ring, driven out of equilibrium by tilting the dynamics so as to enforce a macroscopic current of particles on a large time interval. In this current-biased dynamics, the tilt…

概率论 · 数学 2023-10-26 Benoit Dagallier

We study an exclusion process on a ring comprising a free defect particle in a bath of normal particles. The model is one of the few integrable cases in which the bath particles are partially asymmetric. The presence of the free defect…

统计力学 · 物理学 2024-02-26 Ivan Lobaskin , Martin R Evans , Kirone Mallick

We investigate the full counting statistics of charge transport in $U(1)$-symmetric random unitary circuits. We consider an initial mixed state prepared with a chemical potential imbalance between the left and right halves of the system,…

量子物理 · 物理学 2023-12-04 Ewan McCulloch , Jacopo De Nardis , Sarang Gopalakrishnan , Romain Vasseur

Current fluctuations in boundary-driven diffusive systems are, in many cases, studied using hydrodynamic theories. Their predictions are then expected to be valid for currents which scale inversely with the system size. To study this…

统计力学 · 物理学 2016-05-26 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

We give a partly new proof of the fluctuation bounds for the second class particle and current in the stationary asymmetric simple exclusion process. One novelty is a coupling that preserves the ordering of second class particles in two…

概率论 · 数学 2009-11-24 Marton Balazs , Timo Seppalainen

We propose to probe the distribution of current fluctuations by means of the escape probability histogram of a Josephson junction (JJ), obtained using very short bias current pulses in the adiabatic regime, where the low-frequency component…

介观与纳米尺度物理 · 物理学 2008-09-10 Fabio Taddei , Frank W. J. Hekking

We numerically study the large deviation function of the total current, which is the sum of local currents over all bonds, for the symmetric and asymmetric simple exclusion processes with open boundary conditions. We estimate the generating…

统计力学 · 物理学 2015-03-17 Tetsuya Mitsudo , Shinji Takesue