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Motivated by recent experiments on the conductance fluctuations in mesoscopic integr quantum Hall systems, we consider a model in which the Coulomb interactions are incorporated into the picture of edge-state transport through a single…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. -M. Ho

We develop a stochastic model for the charge fluctuations on a microscopic dust particle resting on a surface exposed to plasma. We find in steady state that the fluctuations are normally distributed with a standard deviation that is…

Plasma Physics · Physics 2015-05-27 T. E. Sheridan , A. Hayes

The one-component plasma (OCP) represents the simplest statistical mechanical model of a Coulomb system. For this reason, it has been extensively studied over the last forty years. The advent of the integral equations has resulted in a…

Soft Condensed Matter · Physics 2015-06-25 M. N. Tamashiro , Yan Levin , Marcia C. Barbosa

Molecular dynamics simulations of a Lennard-Jones binary mixture confined in a disordered array of soft spheres are presented. The single particle dynamical behavior of the glass former is examined upon supercooling. Predictions of mode…

Statistical Mechanics · Physics 2009-11-07 P. Gallo , R. Pellarin , M. Rovere

We describe the potential produced by a point electric charge placed into a constant magnetic field, so strong that the electron Larmour length is much shorter than its Compton length. The standard Coulomb law is modified due to the vacuum…

Astrophysics · Physics 2007-05-23 A. E. Shabad , V. V. Usov

Dust particles immersed within a plasma environment, such as those in protostellar clouds, planetary rings or cometary environments, will acquire an electric charge. If the ratio of the inter-particle potential energy to the average kinetic…

Space Physics · Physics 2009-11-10 B. Smith , J. Vasut , T. Hyde , L. Matthews , J. Reay , M. Cook , J. Schmoke

Motivated by a number of realizations of long-range interacting systems, including ultra-cold atomic and molecular gases, we study a neutral plasma with power-law interactions longer-ranged than Coulombic. We find that beyond a crossover…

Statistical Mechanics · Physics 2024-09-26 Leo Radzihovsky , John Toner

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

The f-sum rule is introduced and its applications to electronic and vibrational modes are discussed. A related integral over the intra-band part of sigma(omega) which is also valid for correlated electrons, becomes just the kinetic energy…

Strongly Correlated Electrons · Physics 2007-05-23 D. van der Marel

The average charge Q on a quantum wire, modeled as a single-channel Luttinger liquid, connected to metallic leads and coupled to a gate is studied theoretically. We find that the behavior of the charge as the gate voltage V_G varies depends…

Strongly Correlated Electrons · Physics 2009-11-10 Jason Alicea , Leon Balents , Cristina Bena , Matthew P. A. Fisher

We study equilibrium statistical mechanics of classical point counter-ions, formulated on 2D Euclidean space with logarithmic Coulomb interactions (infinite number of particles) or on the cylinder surface (finite particle numbers), in the…

Soft Condensed Matter · Physics 2011-03-08 L. Samaj , E. Trizac

We consider $N$ classical particles interacting via the Coulomb potential in spatial dimension $d$ and in the presence of an external trap, at equilibrium at inverse temperature $\beta$. In the large $N$ limit, the particles are confined…

Mathematical Physics · Physics 2024-04-04 Benjamin De Bruyne , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

We consider scattering state contributions to the partition function of a two-dimensional (2D) plasma in addition to the bound-state sum. A partition function continuity requirement is used to provide a statistical mechanical heuristic…

Statistical Mechanics · Physics 2009-10-31 M. E. Portnoi , I. Galbraith

It can be seen by Dynamic Electrical Analysis that the electrical properties of polyetherimide at temperatures above the glass transition are strongly influenced by space charge. We have studied space charge relaxation in two commercial…

Materials Science · Physics 2021-04-01 M. Mudarra , J. Sellares , J. C. Canadas , J. A. Diego

We study the electrical susceptibility of a hydrogen gas at equilibrium, partially ionized by thermal excitations. The gas is described as a quantum plasma of point protons and electrons, interacting via the Coulomb potential. Using the…

Statistical Mechanics · Physics 2009-11-10 V. Ballenegger , Ph. A. Martin

Charged clusters in liquid helium in an external electric field form a two-dimensional system below the helium surface. This 2D system undergoes a phase transition from a liquid to a Wigner crystal at rather high temperatures. Contrary to…

Statistical Mechanics · Physics 2015-06-24 A. M. Dyugaev , P. D. Grigoriev , P. Wyder

Any interface boundary in an equilibrium system of Coulomb particles is accompanied by the existence of a finite difference in the average electrostatic potential through this boundary. This interface potential drop is a thermodynamic…

Plasma Physics · Physics 2011-04-15 Igor Iosilevskiy , Alexander Chigvintsev

Excitons, Coulomb-driven bound states of electrons and holes, are typically composed of integer charges. However, in bilayer systems influenced by charge fractionalization, a more exotic form of interlayer exciton can emerge, where pairing…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Naiyuan J. Zhang , Ron Q. Nguyen , Navketan Batra , Xiaoxue Liu , Kenji Watanabe , Takashi Taniguchi , D. E. Feldman , J. I. A. Li

It is emphasized that the collapse postulate of standard quantum theory can violate conservation of energy-momentum and there is no indication from where the energy-momentum comes or to where it goes. Likewise, in the Continuous Spontaneous…

Quantum Physics · Physics 2022-10-12 Philip Pearle

We consider two-dimensional Coulomb gases on the Riemann sphere with determinantal or Pfaffian structures, under external potentials that are invariant under rotations around the axis connecting the north and south poles, and with…

Mathematical Physics · Physics 2025-01-14 Sung-Soo Byun , Nam-Gyu Kang , Seong-Mi Seo , Meng Yang