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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 derive the distribution of particle currents for a system of interacting active Brownian particles in the long time limit using large deviation theory and a weighted many body expansion. We find the distribution is non-Gaussian, except…

Statistical Mechanics · Physics 2018-12-19 Trevor GrandPre , David T. Limmer

Energy transport can be influenced by the presence of other conserved quantities. We consider here diffusive systems where energy and the other conserved quantities evolve macroscopically on the same diffusive space-time scale. In these…

Statistical Mechanics · Physics 2020-01-08 Stefano Olla

We conjecture that the current fluctuations in one-dimensional driven transport systems obey an upper bound determined by the mean current and the driving force. This inequality originates from repulsive interactions between transporting…

Statistical Mechanics · Physics 2025-10-13 Jiayin Gu , Fan Zhang

Current fluctuations can provide additional insight into quantum transport in mesoscopic systems. The present work is carried out for the fluctuation properties of transport through a pair of coupled quantum dots which are connected with…

Mesoscale and Nanoscale Physics · Physics 2009-09-02 JunYan Luo , Xin-Qi Li , YiJing Yan

A recently developed non-linear fluctuating hydrodynamics theory has been quite successful in describing various features of anomalous energy transport. However the diffusion and the noise terms present in this theory are not derived from…

Statistical Mechanics · Physics 2019-01-23 Asaf Miron , Julien Cividini , Anupam Kundu , David Mukamel

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

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

We introduce a model of interacting Random Walk, whose hopping amplitude depends on the number of walkers/particles on the link. The mesoscopic counterpart of such a microscopic dynamics is a diffusing system whose diffusivity depends on…

Statistical Mechanics · Physics 2008-10-01 E. Agliari , M. Casartelli , A. Vezzani

We consider a general class of nonlinear diffusive models with bulk dissipation and boundary driving, and derive its hydrodynamic description in the large size limit. Both the average macroscopic behavior and the fluctuating properties of…

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

Transport phenomena are ubiquitous in nature and known to be important for various scientific domains. Examples can be found in physics, electrochemistry, heterogeneous catalysis, physiology, etc. To obtain new information about diffusive…

Probability · Mathematics 2007-05-23 Denis S. Grebenkov

One of the long-standing goals of quantum transport is to use the noise, rather than the average current, for information processing. However, achieving this requires on-demand control of quantum fluctuations in the electric current. In…

Mesoscale and Nanoscale Physics · Physics 2021-05-12 Nicholas S. Davis , Samuel L. Rudge , Daniel S. Kosov

We demonstrate that the probability distribution of the net number of electrons passing through a quantum system in a junction obeys a steady-state fluctuation theorem (FT) which can be tested experimentally by the full counting statistics…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Massimiliano Esposito , Upendra Harbola , Shaul Mukamel

Spin-polarized electron transport driven by inhomogeneous magnetic dynamics is discussed in the limit of a large exchange coupling. Electron spins rigidly following the time-dependent magnetic profile experience spin-dependent fictitious…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yaroslav Tserkovnyak , Matthew Mecklenburg

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…

Condensed Matter · Physics 2009-10-22 Eugene Kogan , Moshe Kaveh

A novel model of transport is proposed to explain power law current transients and memory phenomena observed in partially ordered arrays of semiconducting nanocrystals. The model describes electron transport by a stationary Levy process of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. S. Novikov , M. Drndic , L. S. Levitov , M. A. Kastner , M. V. Jarosz , M. G. Bawendi

We present a detailed microscopic study of quasi-ballistic transport in deep submicron semiconductor channels. In particular, we study the crossover between the diffusive and ballistic regimes of transport and identify signatures in the…

Materials Science · Physics 2007-05-23 Dan Csontos , Sergio E. Ulloa

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

The linear laws of transport phenomena are central in our description of irreversible processes in systems across the physical sciences. Linear irreversible thermodynamics allows for the identification of the underlying forces driving…

Statistical Mechanics · Physics 2025-06-02 Yu-Jen Chiu , Eric M. Weiner , Ahmad K. Omar

We consider a family of models having an arbitrary positive amount of mass on each site and randomly exchanging an arbitrary amount of mass with nearest neighbor sites. We restrict to the case of diffusive models. We identify a class of…

Statistical Mechanics · Physics 2023-09-29 Monia Capanna , Davide Gabrielli , Dimitrios Tsagkarogiannis