A New Estimate on the Two-Dimensional Indirect Coulomb Energy

On the classical two-dimensional one-component Coulomb plasma

A new method for solving two-dimensional fuzzy Fredholm integral equations of the second kind

In this work, we introduce a novel method for solving two-dimensional fuzzy Fredholm integral equations of the second kind (2D-FFIE-2). We use new representation of parametric form of fuzzy numbers and convert a two-dimensional fuzzy Fredholm integral equation to system of two-dimensional Fredholm integral equations of the second kind in crisp case. We can use Adomian decomposition method for n...

Minimum energy state of the one-dimensional Coulomb chain

One-dimensional chains of laser-cooled ions have recently been confined in the fields of electromagnetic traps. This paper considers the minimum energy states of this one-dimensional ~1D! form of condensed matter. Molecular dynamics simulations of the minimum energy states are compared to a density functional theory of the inhomogeneous crystal. Unlike 2D and 3D inhomogeneous Coulombic systems,...

The screening phase transitions in the two-dimensional Coulomb gas

The Mayer series of a Coulomb gas with fixed ultraviolet cutoff is studied in two dimensions. In particular, we show the existence of infinitely many thresholds T n = (e2/8~k)(11/2n) 1, k =Boltzmann's constant, e=electr ic charge, n = 1, 2,..., which are conjectured to reflect a sequence of transitions from pure multipole phase (the Kosterlitz Thouless region) to a plasma phase (the Debye scree...

Coulomb scattering lifetime of a two-dimensional electron gas.

Motivated by a recent tunneling experiment in a double quantum-well system, which reports an anomalously enhanced electronic scattering rate in a clean two-dimensional electron gas, we calculate the inelastic quasiparticle lifetime due to electron-electron interaction in a single loop dynamically screened Coulomb interaction within the random-phase-approximation. We obtain excellent quantitativ...