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Using group theoretical and numerical methods we have calculated the exact energy spectrum of the two-dimensional Hubbard model on square lattices with four electrons for a wide range of the interaction strength. All known symmetries, i.e.\…

Condensed Matter · Physics 2009-10-28 Henrik Bruus , Jean-Christian Angles d'Auriac

We study quasi-one-dimensional scattering of one and two particles with short-range interactions on a discrete lattice model in two dimensions. One of the directions is tightly confined by an arbitrary trapping potential. We obtain the…

Quantum Physics · Physics 2015-05-28 Manuel Valiente , Klaus Molmer

With the significant advancements in parallel computing techniques, the particle-particle (PP) model has been effectively utilized in various plasma-related applications. However, PP has been limited for solving only electrostatic problems…

Plasma Physics · Physics 2025-05-26 Yanan Zhang , Xiaochun Ma , Hui Liu , Yinjian Zhao

In this work we (i) extend previous 1D studies of electromagnetic (EM) wave propagation in an over-dense plasma-metamaterial composite into two spatial dimensions and (ii) study blocking of EM waves by the composite 2D structures…

Plasma Physics · Physics 2025-08-18 D. Tsiklauri , I. Morrison

An optical injection scheme into the laser wakefield accelerator by preceding injection pulse is investigated by means of 3D numerical particle-in-cell simulations. Quasimonoenergetic hundred-pC electron bunches as short as 6 fs can be…

Plasma Physics · Physics 2020-03-06 Vojtěch Horný , Ondřej Klimo , Miroslav Krůs

We obtain exact upper and lower bounds on the steady state drift velocity, and kinetic energy of electrons, driven by an external field in a weakly ionized plasma (swarm approximation). The scattering is assumed to be elastic with…

Plasma Physics · Physics 2009-10-31 A. Rokhlenko , J. L. Lebowitz

In the present paper we consider the nonlinear interaction of high frequency intense electromagnetic (EM) beam with degenerate electron plasmas. In a slowly varying envelop approximation the beam dynamics is described by the couple of…

Plasma Physics · Physics 2021-05-19 V. I. Berezhiani , Z. N. Osmanov , S. M. Mahajan , S. V. Mikeladze

We investigate the static and the dynamic properties of an binary, equimolar, size-symmetric mixture of ultrasoft particles in the vicinity of the critical point of the system. Based on the generalized exponential potential (GEM) of order…

Soft Condensed Matter · Physics 2025-07-25 Tanmay Biswas , Gerhard Kahl , Gaurav P. Shrivastav

The electron sheath is a particular electron-rich sheath with negative net charges where plasma potential is lower than the biased electrode. Here an improved understanding of electron sheath theory is provided using both fluid and kinetic…

Plasma Physics · Physics 2022-07-27 Guang-Yu Sun , Zhang Shu , An-Bang Sun , Guan-Jun Zhang

When studying the interaction of matter with extreme fields using multipetawatt lasers, there are two limiting cases maximizing either the electric field or the magnetic field. Here, the main attention is paid to the optimal configuration…

The existence of localized electromagnetic structures is discussed in the framework of the 1-dimensional relativistic Maxwell-fluid model for a cold plasma with immobile ions. New partially localized solutions are found with a…

Plasma Physics · Physics 2017-04-20 G. Sánchez-Arriaga , E. Siminos

The dynamic process of a laser or particle beam propagating from vacuum into underdense plasma has been investigated theoretically. Our theoretical model combines a Lagrangian fluid model with the classic quasistatic wakefield theory. It is…

Plasma Physics · Physics 2017-11-21 Ronghao Hu , Haiyang Lu , Yinren Shou , Jinqing Yu , Chia-erh Chen , Xueqing Yan

Fluid simulations, which are considerably simpler and faster, have been employed to study the behavior of the wakefield driven by a relativistic rigid beam in a 2-D cold plasma. When the transverse dimensions of the beam are chosen to be…

Plasma Physics · Physics 2018-03-02 Ratan Kumar Bera , Amita Das , Sudip Sengupta

In this chapter we introduce a microscopic modelling of the surplus electrons on the plasma wall which complements the classical description of the plasma sheath. First we introduce a model for the electron surface layer to study the…

Plasma Physics · Physics 2013-03-29 Rafael L. Heinisch , Franz X. Bronold , Holger Fehske

Relativistic wakes produced by intense laser or particle beams propagating through plasmas are being considered as accelerators for next generation of colliders and coherent light sources. Such wakes have been shown to accelerate electrons…

Plasma Physics · Physics 2016-10-19 C. J. Zhang , J. F. Hua , Y. Wan , B. Guo , Y. P. Wu , C. -H. Pai , F. Li , H. -H. Chu , Y. Q. Gu , X. L. Xu , W. B. Mori , C. Joshi , J. Wang , W. Lu

The two-dimensional aether-superspace is constructed and the superfield techniques are applied to the study of dynamical generation of mass in the Lorentz-violating supersymmetric quantum electrodynamics in two dimensions of spacetime. It…

High Energy Physics - Theory · Physics 2016-01-20 A. C. Lehum

An important physical model describing the dynamics of dilute weakly ionized plasmas in the collisional kinetic theory is the Vlasov-Poisson-Boltzmann system for which the plasma responds strongly to the self-consistent electrostatic force.…

Analysis of PDEs · Mathematics 2012-03-20 Renjun Duan , Tong Yang , Huijiang Zhao

The inelastic light scattering in a 2-d electron gas is studied theoretically using the Boltzmann equation techniques. Electron-hole excitations produce the Raman spectrum essentially different from the one predicted for the 3-d case. In…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko

In the past, calculation of wakefields generated by an electron bunch propagating in a plasma has been carried out in linear approximation, where the plasma perturbation can be assumed small and plasma equations of motion linearized. This…

Accelerator Physics · Physics 2018-04-11 G. Stupakov

We introduce a simplified model of the electron-beam/plasma system to model the electrical breakdown caused by the inductive electric field created by a rapidly rising electron beam current. The rigid-beam model is a reduction to the…

Plasma Physics · Physics 2021-03-05 S. B. Swanekamp , A. S. Richardson , Tz. B. Petrova , P. E. Adamson