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We analytically compute the full counting statistics of charge transfer in a classical automaton of interacting charged particles. Deriving a closed-form expression for the moment generating function with respect to a stationary equilibrium…

Statistical Mechanics · Physics 2024-02-06 Žiga Krajnik , Johannes Schmidt , Vincent Pasquier , Enej Ilievski , Tomaž Prosen

We consider an electron-phonon system in two and three dimensions on square, hexagonal and cubic lattices. The model is a modification of the standard Holstein model where the optical branch is appropriately curved in order to have a…

Statistical Mechanics · Physics 2009-10-31 N. Macris , C. -A. Piguet

We investigate charge regulation of nanoparticles in concentrated suspensions, focusing on the effect of different statistical ensembles. We find that the choice of ensemble does not affect the mean charge of nanoparticles, but…

Soft Condensed Matter · Physics 2023-09-25 Amin Bakhshandeh , Yan Levin

To improve the understanding of the relation between electrode curvature and energy storage mechanisms, a systematic investigation of the correlation between convex and concave electrode surfaces and the differential capacitance of an…

Computational Physics · Physics 2020-03-04 Jannes Seebeck , Peter Schiffels , Sabine Schweizer , Jörg-Rüdiger Hill , Robert Horst Meißner

An approximate analytical solution to the fluctuation potential problem in the modified Poisson-Boltzmann theory of electrolyte solutions in the restricted primitive model is presented. The solution is valid for all inter-ionic distances,…

Statistical Mechanics · Physics 2017-12-15 E. O. Ulloa-Dávila , L. B. Bhuiyan

We study the emission of individual quantum dots in CdTe/ZnTe samples doped with a low concentration of Cr. In addition to dots with a photoluminescence (PL) split by the exchange interaction with a magnetic Cr atom, we observe another type…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 L. Besombes , H. Boukari , V. Tiwari , A. Lafuente-Sampietro , M. Sunaga , K. Makita , S. Kuroda

Employing a large-N scheme of the layered t-J model with the long-range Coulomb interaction, which captures fine details of the charge excitation spectra recently observed in cuprate superconductors, we explore the role of the charge…

Strongly Correlated Electrons · Physics 2021-08-02 Hiroyuki Yamase , Matías Bejas , Andrés Greco

We study the fluctuations of an energy level as a function of the number of electrons $m$ added to a Coulomb-blockade quantum dot. A microscopic calculation in the limit of Koopmans' theorem predicts that the standard deviation of these…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Alhassid , Yuval Gefen

Quantum vacuum fluctuations of the electromagnetic field in empty space seem not to produce observable effects over the motion of a charged test particle. However, when a change in the background vacuum state is implemented, as for instance…

High Energy Physics - Theory · Physics 2020-02-11 V. A. De Lorenci , C. C. H. Ribeiro

A brief overview is presented of recent work which investigates the time-dependent relaxation of charge and its spontaneous fluctuations on mesoscopic conductors in the proximity of gates. The leading terms of the low frequency conductance…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 M. Buttiker

Our previously introduced QTPIE (charge transfer with polarization current equilibration) model (J. Chen and T. J. Martinez, Chem. Phys. Lett. 438, 315 (2007)) is a fluctuating-charge model with correct asymptotic behavior. Unlike most…

Chemical Physics · Physics 2010-04-02 Jiahao Chen , Todd J. Martínez

We consider the admittance of a chaotic quantum dot, capacitively coupled to a gate and connected to two electron reservoirs by multichannel ballistic point contacts. For a dot in the regime of weak-localization and universal conductance…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 P. W. Brouwer , M. Buttiker

Coupled systems in mesoscopic regime are of interest as charge fluctuation between the sub-systems will depend on electron-electron interactions and will play a dominant role in determining their thermodynamic properties. We study some…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 P. Singha Deo , P. Koskinen , M. Manninen

Statistically studied are the equilibrium characteristics of a subsystem of mobile charges of one sort, taking into account the subsystem of fixed charges of the opposite sign creating a compensating electric background. The distribution of…

Other Condensed Matter · Physics 2019-02-07 H. S. Bokun , D. di Caprio

Using a simple quantum master equation approach, we calculate the Full Counting Statistics of a single electron transistor strongly coupled to vibrations. The Full Counting Statistics contains both the statistics of integrated particle and…

Statistical Mechanics · Physics 2013-03-25 Gernot Schaller , Thilo Krause , Tobias Brandes , Massimiliano Esposito

We discuss various measures of net charge (conserved quantities) fluctuations proposed for the identification of critical phenomena in heavy ion collisions. We show the dynamical component of fluctuations of the net charge can be expressed…

Nuclear Experiment · Physics 2009-11-07 C. Pruneau , S. Gavin , S. Voloshin

Molecular dynamics simulations at a constant electric potential are an essential tool to study electrochemical processes, providing microscopic information on the structural, thermodynamic, and dynamical properties. Despite the numerous…

In 1909, Millikan showed that the charge of electrically isolated systems is quantized in units of the elementary electron charge e. Today, the persistence of charge quantization in small, weakly connected conductors allows for circuits…

We consider the injection of a controlled charge from a normal metal into an edge state of the fractional quantum Hall effect, with a time-dependent voltage $V(t)$. Using perturbative calculations in the tunneling limit, and a chiral…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thibaut Jonckheere , Marjorie Creux , Thierry Martin

We study the connection between the charging power of quantum batteries and the fluctuations of the extractable work. We prove that in order to have a non-zero rate of change of the extractable work, the state $\rho_\mathcal{W}$ of the…

Quantum Physics · Physics 2021-07-12 Luis Pedro García-Pintos , Alioscia Hamma , Adolfo del Campo