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Molecular dynamics simulation is used to investigate the crystallization of a classical two-dimensional electron system, in which electrons interact with the Coulomb repulsion. From the positional and the orientational correlation…

Condensed Matter · Physics 2009-10-31 Satoru Muto , Hideo Aoki

This paper addresses the variational multiscale stabilization of standard finite element methods for linear partial differential equations that exhibit multiscale features. The stabilization is of Petrov-Galerkin type with a standard finite…

Numerical Analysis · Mathematics 2015-10-21 Daniel Peterseim

The static dipole polarizability of metastable states in the kaonic helium atoms is studied. We use the complex coordinate rotation method to properly account for the resonant nature of the states. Our calculations show that some of the…

Atomic Physics · Physics 2024-08-30 D. T. Aznabayev , A. K. Bekbaev , V. I. Korobov

Basic problems of the semiclassical microscopic modelling of strongly interactingsystems are discussed within the framework of Quantum Molecular Dynamics (QMD). This model allows to study the influence of several types of nucleonic…

Nuclear Theory · Physics 2014-11-18 C. Hartnack , Rajeev K. Puri , J. Aichelin , J. Konopka , S. A. Bass , H. Stoecker , W. Greiner

We extend a recently developed three-dimensional semiclassical model to study double and triple ionization of Ne driven by infrared laser pulses at various intensities. This model fully accounts for the Coulomb singularity of each electron…

Atomic Physics · Physics 2025-12-18 Samuel James Praill , Georgios Petros Katsoulis , Agapi Emmanouilidou

The motion of celestial bodies in astronomy is closely related to the orbits of electrons encircling an atomic nucleus. Bohr and Sommerfeld presented a quantization scheme of the classical orbits to analyze the eigenstates of the hydrogen…

Chaotic Dynamics · Physics 2020-08-31 Tobias Kramer

We investigate the effects of the multielectron polarization of the ion described by the induced dipole potential in photoelectron momentum distributions produced in ionization of the CO molecule by a strong laser field. We present results…

Atomic Physics · Physics 2024-04-23 Mahmoud Abu-samha , L. B. Madsen , N. I. Shvetsov-Shilovski

We consider the final stage of triple ionization of atoms in a strong linearly polarized laser field. We propose that for intensities below the saturation value for triple ionization the process is dominated by the simultaneous escape of…

Quantum Physics · Physics 2009-11-07 Krzysztof Sacha , Bruno Eckhardt

A hybrid kinetic-fluid model is used to study ionization waves (striations) in a low-current plasma column of DC discharges in noble gases. Coupled solutions of a kinetic equation for electrons, a drift-diffusion equation of ions, and a…

Plasma Physics · Physics 2023-01-04 Vladimir I. Kolobov , Robert R. Arslanbekov

The in-plane polarizational stopping power of heavy-ion diclusters in a two-dimensional strongly coupled electron liquid is studied. Analytical expressions for the stopping power of both fast and slow projectiles are derived. To go beyond…

Strongly Correlated Electrons · Physics 2007-10-17 D. Ballester , A. M. Fuentes , I. M. Tkachenko

The concept of dominant interaction hamiltonians is introduced and applied to classical planar electron-atom scattering. Each trajectory is governed in different time intervals by two variants of a separable approximate hamiltonian.…

Atomic Physics · Physics 2015-05-30 Martin Gerlach , Sebastian Wüster , Jan M. Rost

This paper is devoted to the variational study of an effective model for the electron transport in a graphene sample. We prove the existence of infinitely many stationary solutions for a nonlin-ear Dirac equation which appears in the WKB…

Analysis of PDEs · Mathematics 2018-05-23 William Borrelli

Dynamical equations in generalized hydrodynamics (GHD), a hydrodynamic theory for integrable quantum systems at the Euler scale, take a rather simple form, even though an infinite number of conserved charges are taken into account. We show…

Statistical Mechanics · Physics 2018-01-31 Benjamin Doyon , Takato Yoshimura , Jean-Sébastien Caux

We adapt the simulated annealing algorithm to the search of periodic orbits for classical multi-electron atomic systems. This is done by minimizing the n-th return distance to the initial position on a Poincare surface of section under an…

Atomic Physics · Physics 2011-02-17 Francois Mauger , Cristel Chandre , Turgay Uzer

In a recent work, we provided a standardized and exact analytical formalism for computing in the semiclassical regime the radiation force experienced by a two-level atom interacting with any number of plane waves with arbitrary intensities,…

Quantum Physics · Physics 2021-06-02 L. Podlecki , J. Martin , T. Bastin

We investigate the convergence of a backward Euler finite element discretization applied to a multi-domain and multi-scale elliptic-parabolic system, derived from the Doyle-Fuller-Newman model for lithium-ion cells. We establish…

Numerical Analysis · Mathematics 2025-07-09 Shu Xu , Liqun Cao

Crystallization of a classical two-dimensional one-component plasma (electrons interacting with the Coulomb repulsion in a uniform neutralizing positive background) is investigated with a molecular dynamics simulation. The positional and…

Strongly Correlated Electrons · Physics 2009-10-31 Satoru Muto , Hideo Aoki

In this paper we prove the nonlinear orbital stability of a large class of steady states solutions to the Hamiltonian Mean Field (HMF) system with a Poisson interaction potential. These steady states are obtained as minimizers of an energy…

Analysis of PDEs · Mathematics 2017-09-12 Marine Fontaine , Mohammed Lemou , Florian Méhats

A system of reduced equations is proposed for the electron motion in the strongly-radiation dominated regime for an arbitrary electromagnetic field configuration. The developed approach is used to analyze various scenarios of an electron…

Plasma Physics · Physics 2023-01-06 A. S. Samsonov , E. N. Nerush , I. Yu. Kostyukov

We study mutual ionization in collisions between atomic hydrogen and helium at impact velocities near the electronic threshold for this process (determined by the condition that kinetic energy of an equivelocity free electron is…

Atomic Physics · Physics 2015-06-17 S. F. Zhang , X. L. Zhu , A. B. Voitkiv , W. T. Feng , D. L. Guo , Y. Gao , R. T. Zhang , E. L Wang , X. Ma
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