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“Melting transitions in isotropically confined three-dimensional small Coulomb clusters”. Apolinario SWS, Peeters FM, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 76, 031107 (2007). http://doi.org/10.1103/PhysRevE.76.031107
Abstract: Molecular dynamic simulations are performed to investigate the melting process of small three-dimensional clusters (i.e., systems with one and two shells) of classical charged particles trapped in an isotropic parabolic potential. The confined particles interact through a repulsive potential. We find that the ground-state configurations for systems with N=6, 12, 13, and 38 particles interacting through a Coulomb potential are magic clusters. Such magic clusters have an octahedral or icosahedral symmetry and are found to have a large stability against intrashell diffusion leading to an intershell melting transition prior to the intrashell and radial melting process. For systems with two shells a local radial melting of subshells is found at low temperatures resulting in a structural transition leading to an increased symmetry of the ordered system. Using Lindemanns criterion the different melting temperatures are determined and the influence of the screening of the interparticle interaction was investigated. A normal mode analysis is performed and some of the normal modes are found to be determinantal for the melting process.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 28
DOI: 10.1103/PhysRevE.76.031107
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“Modeling of the formation and transport of nanoparticles in silane plasmas”. de Bleecker K, Bogaerts A, Goedheer W, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 70, 056407 (2004). http://doi.org/10.1103/PhysRevE.70.056407
Abstract: The behavior of nanoparticles in a low-pressure silane discharge is studied with the use of a self-consistent one-dimensional fluid model. Nanoparticles of a given (prescribed) radius are formed in the discharge by the incorporation of a dust growth mechanism, i.e., by including a step in which large anions (typically Si12H−25), produced in successive chemical reactions of anions with silane molecules, are transformed into particles. Typically a few thousand anions are used for one nanoparticle. The resulting particle density and the charge on the particles are calculated with an iterative method. While the spatial distribution and the charge of the particles are influenced by the plasma, the presence of the nanoparticles will in turn influence the plasma properties. Several simulations with different particle radii are performed. The resulting density profile of the dust will greatly depend on the particle size, as it reacts to the shift of the balance of the different forces acting on the particles.
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 2.366
Times cited: 31
DOI: 10.1103/PhysRevE.70.056407
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“Multiple void formation in plasmas containing multispecies charged grains”. Liu YH, Chen ZY, Yu MY, Bogaerts A, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 74, 056401 (2006). http://doi.org/10.1103/PhysRevE.74.056401
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 2.366
Times cited: 21
DOI: 10.1103/PhysRevE.74.056401
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“Multistep radial melting in small two-dimensional classical clusters”. Tomecka D, Partoens B, Peeters FM, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 71, 062401 (2005). http://doi.org/10.1103/PhysRevE.71.062401
Abstract: We report on a molecular dynamics study of small classical two-dimensional clusters with ringlike configurations. We focus on the particles motion at low temperatures before the radial and angular melting sets in. It is shown that in magic number configurations a local radial melting of subshells occur, which is related to the intershell rotation.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 11
DOI: 10.1103/PhysRevE.71.062401
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“Negative ion behavior in single- and dual-frequency plasma etching reactors: particle-in-cell/Monte Carlo collision study”. Georgieva V, Bogaerts A, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 73, 036402 (2006). http://doi.org/10.1103/PhysRevE.73.036402
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 2.366
Times cited: 7
DOI: 10.1103/PhysRevE.73.036402
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“Nonlinear screening in large two-dimensional Coulomb clusters”. Kong M, Vagov A, Partoens B, Peeters FM, Ferreira WP, Farias GA, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 70, 051807 (2004). http://doi.org/10.1103/PhysRevE.70.051807
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 4
DOI: 10.1103/PhysRevE.70.051807
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“Normal mode spectra of two-dimensional classical atoms confined by a Coulomb potential”. Ferreira WP, Peeters FM, Farias GA, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 68, 066405 (2003). http://doi.org/10.1103/PhysRevE.68.066405
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 9
DOI: 10.1103/PhysRevE.68.066405
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“Normal modes of a quasi-one-dimensional multichain complex plasma”. Piacente G, Peeters FM, Betouras JJ, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 70 (2004). http://doi.org/10.1103/PhysRevE.70.036406
Abstract: We studied equally charged particles, suspended in a complex plasma, which move in a plane and interact with a screened Coulomb potential (Yukawa type) and with an additional external confining parabolic potential in one direction, which makes the system quasi-one-dimensional (Q1D). The normal modes of the system are studied in the presence of dissipation. We also investigated how a perpendicular magnetic field couples the phonon modes with each other. Two different ways of exciting the normal modes are discussed: (1) a uniform excitation of the Q1D lattice, and (2) a local forced excitation of the system in which one particle is driven by, e.g., a laser. Our results are in very good agreement with recent experimental findings on a finite single chain system [Liu , Phys. Rev. Lett. 91, 255003 (2003)]. Predictions are made for the normal modes of multichain structures in the presence of damping.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 18
DOI: 10.1103/PhysRevE.70.036406
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“Numerical investigation of ion energy distribution functions in single and dual frequency capacitively coupled plasma reactors”. Georgieva V, Bogaerts A, Gijbels R, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 69, 026406 (2004). http://doi.org/10.1103/PhysRevE.69.026406
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 2.366
Times cited: 97
DOI: 10.1103/PhysRevE.69.026406
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“Numerical investigation of particle formation mechanisms in silane discharges”. de Bleecker K, Bogaerts A, Gijbels R, Goedheer W, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 69, 056409 (2004). http://doi.org/10.1103/PhysRevE.69.056409
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 2.366
Times cited: 74
DOI: 10.1103/PhysRevE.69.056409
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“Role of the thermophoretic force on the transport of nanoparticles in dusty silane plasmas”. de Bleecker K, Bogaerts A, Goedheer W, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 71, 066405 (2005). http://doi.org/10.1103/PhysRevE.71.066405
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 2.366
Times cited: 25
DOI: 10.1103/PhysRevE.71.066405
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“Spectrum of classical two-dimensional Coulomb clusters”. Nelissen K, Matulis A, Partoens B, Kong M, Peeters FM, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 73, 016607 (2006). http://doi.org/10.1103/PhysRevE.73.016607
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 33
DOI: 10.1103/PhysRevE.73.016607
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“Structural phase transitions and unusual melting behavior in a classical two-dimensional Coulomb bound cluster”. Ferreira WP, Partoens B, Peeters FM, Farias GA, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 71, 021501 (2005). http://doi.org/10.1103/PhysRevE.71.021501
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 8
DOI: 10.1103/PhysRevE.71.021501
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“Structure and spectrum of anisotropically confined two-dimensional clusters with logarithmic interaction”. Apolinario SWS, Partoens B, Peeters FM, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 72, 046122 (2005). http://doi.org/10.1103/PhysRevE.72.046122
Abstract: We studied the structural and spectral properties of a classical system consisting of a finite number of particles, moving in two dimensions, and interacting through a repulsive logarithmic potential and held together by an anisotropic harmonic potential. Increasing the anisotropy of the confinement potential can drive the system from a two-dimensional (2D) to a one-dimensional (1D) configuration. This change occurs through a sequence of structural transitions of first and second order which are reflected in the normal mode frequencies. Our results of the ground state configurations are compared with recent experiments and we obtained a satisfactory agreement. The transition from the 1D line structure to the 2D structure occurs through a zigzag transition which is of second order. We found analytical expressions for the eigenfrequencies before the zigzag transition, which allowed us to obtain an analytical expression for the anisotropy parameter at which the zigzag transition occurs as a function of the number of particles in the system.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 22
DOI: 10.1103/PhysRevE.72.046122
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“Structure and spectrum of two-dimensional clusters confined in a hard wall potential”. Kong M, Partoens B, Matulis A, Peeters FM, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 69, 036412 (2004). http://doi.org/10.1103/PhysRevE.69.036412
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 42
DOI: 10.1103/PhysRevE.69.036412
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“Structure of binary colloidal systems confined in a quasi-one-dimensional channel”. Yang W, Nelissen K, Kong M, Zeng Z, Peeters FM, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 79, 041406 (2009). http://doi.org/10.1103/PhysRevE.79.041406
Abstract: The structural properties of a binary colloidal quasi-one-dimensional system confined in a narrow channel are investigated through modified Monte Carlo simulations. Two species of particles with different magnetic moment interact through a repulsive dipole-dipole force are confined in a quasi-one-dimensional channel. The impact of three decisive parameters (the density of particles, the magnetic-moment ratio, and the fraction between the two species) on the transition from disordered phase to crystal-like phases and the transitions among the different mixed phases are summarized in a phase diagram.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 11
DOI: 10.1103/PhysRevE.79.041406
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“Structure of multispecies charged particles in a quadratic trap”. Liu YH, Chen ZY, Yu MY, Wang L, Bogaerts A, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 73, 047402 (2006). http://doi.org/10.1103/PhysRevE.73.047402
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 2.366
Times cited: 25
DOI: 10.1103/PhysRevE.73.047402
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“Terahertz radiation from oscillating electrons in laser-induced wake fields”. Cao L-H, Yu W, Xu H, Zheng C-Y, Liu Z-J, Li B, Bogaerts A, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 70, 046408 (2004). http://doi.org/10.1103/PhysRevE.70.046408
Abstract: Strong terahertz (1THz=1012Hz) radiation can be generated by the electron oscillation in fs-laser-induced wake fields. The interaction of a fs-laser pulse with a low-density plasma layer is studied in detail using numerical simulations. The spatial distribution and temporal evolution of terahertz electron current developed in a low-density plasma layer are presented, which enables us to calculate the intensity distribution of THz radiation. It is shown that laser and plasma parameters, such as laser intensity, pulse width, and background plasma density, are of key importance to the process. The optimum condition for wake-field excitation and terahertz emission is discussed upon the simulation results. Radiation peaked at 6.4 THz, with 900 fs duration and 9% bandwidth, can be generated in a plasma of density 5×1017cm−3. It turns out that the maximum radiation intensity scales as n03a04 when wake field is resonantly excited, where n0 and a0 are, respectively, the plasma density and the normalized field amplitude of the laser pulse.
Keywords: A1 Journal article; Condensed Matter Theory (CMT); Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 2.366
Times cited: 9
DOI: 10.1103/PhysRevE.70.046408
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“Topological defects and nonhomogeneous melting of large two-dimensional Coulomb clusters”. Kong M, Partoens B, Peeters FM, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 67, 021608 (2003). http://doi.org/10.1103/PhysRevE.67.021608
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 45
DOI: 10.1103/PhysRevE.67.021608
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“Transition between ground state and metastable states in classical two-dimensional atoms”. Kong M, Partoens B, Peeters FM, Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics 65, 046602 (2002). http://doi.org/10.1103/PhysRevE.65.046602
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 51
DOI: 10.1103/PhysRevE.65.046602
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“Angular melting scenarios in binary dusty-plasma Coulomb balls : magic versus normal clusters”. Apolinario SWS, Aguiar JA, Peeters FM, Physical review : E : statistical, nonlinear, and soft matter physics 90, 063113 (2014). http://doi.org/10.1103/PhysRevE.90.063113
Abstract: Molecular-dynamic simulations were performed in order to investigate the melting processes of isotropically confined binary systems. We considered two species of particles, which differ by their amount of electric charge. A Lindemann type of criterion was used to determine the angular melting temperature. We demonstrate that the magic-to-normal cluster transition can evolve in two distinct ways, that is, through a structural phase transition of the first order or via a smooth transition where an increase of the shells' width leads to a continuous decreasing mechanical stability of the system. Moreover, for large systems, we demonstrate that the internal cluster exerts a minor effect on the mechanical stability of the external shell. Furthermore, we show that highly symmetric configurations, such as those found for multiple ring structures, have large mechanical stability, i.e., high angular melting temperature.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 1
DOI: 10.1103/PhysRevE.90.063113
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“Bilayer crystals of charged magnetic dipoles : structure and phonon spectrum”. Ramos IRO, Ferreira WP, Munarin FF, Farias GA, Peeters FM, Physical review : E : statistical, nonlinear, and soft matter physics 85, 051404 (2012). http://doi.org/10.1103/PhysRevE.85.051404
Abstract: We study the structure and phonon spectrum of a two-dimensional bilayer system of classical charged dipoles oriented perpendicular to the plane of the layers for equal density in each layer. This system can be tuned through six different crystalline phases by changing the interlayer separation or the charge and/or dipole moment of the particle. The presence of the charge on the dipole particles is responsible for the nucleation of five staggered phases and a disordered phase which are not found in the magnetic dipole bilayer system. These extra phases are a consequence of the competition between the repulsive Coulomb and the attractive dipole interlayer interaction. We present the phase diagram and determine the order of the phase transitions. The phonon spectrum of the system was calculated within the harmonic approximation, and a nonmonotonic behavior of the phonon spectrum is found as a function of the effective strength of the interparticle interaction. The stability of the different phases is determined.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 8
DOI: 10.1103/PhysRevE.85.051404
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“Diffusion in a quasi-one-dimensional system on a periodic substrate”. Carvalho JCN, Nelissen K, Ferreira WP, Farias GA, Peeters FM, Physical review : E : statistical, nonlinear, and soft matter physics 85, 021136 (2012). http://doi.org/10.1103/PhysRevE.85.021136
Abstract: The diffusion of charged particles interacting through a repulsive Yukawa potential, exp(-r/lambda)/r, confined by a parabolic potential in the y direction and subjected to a periodic substrate potential in the x direction is investigated. Langevin dynamic simulations are used to investigate the effect of the particle density, the amplitude of the periodic substrate, and the range of the interparticle interaction potential on the diffusive behavior of the particles. We found that in general the diffusion is suppressed with increasing the amplitude of the periodic potential, but for specific values of the strength of the substrate potential a remarkable increase of the diffusion is found with increasing the periodic potential amplitude. In addition, we found a strong dependence of the diffusion on the specific arrangement of the particles, e. g., single-chain versus multichain configuration. For certain particle configurations, a reentrant behavior of the diffusion is found as a function of the substrate strength due to structural transitions in the ordering of the particles.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 9
DOI: 10.1103/PhysRevE.85.021136
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“Diffusion of interacting particles in discrete geometries: Equilibrium and dynamical properties”. Becker T, Nelissen K, Cleuren B, Partoens B, Van den Broeck C, Physical review : E : statistical, nonlinear, and soft matter physics 90, 052139 (2014). http://doi.org/10.1103/PhysRevE.90.052139
Abstract: We expand on a recent study of a lattice model of interacting particles [Phys. Rev. Lett. 111, 110601 (2013)]. The adsorption isotherm and equilibrium fluctuations in particle number are discussed as a function of the interaction. Their behavior is similar to that of interacting particles in porous materials. Different expressions for the particle jump rates are derived from transition-state theory. Which expression should be used depends on the strength of the interparticle interactions. Analytical expressions for the self-and transport diffusion are derived when correlations, caused by memory effects in the environment, are neglected. The diffusive behavior is studied numerically with kinetic Monte Carlo (kMC) simulations, which reproduces the diffusion including correlations. The effect of correlations is studied by comparing the analytical expressions with the kMC simulations. It is found that the Maxwell-Stefan diffusion can exceed the self-diffusion. To our knowledge, this is the first time this is observed. The diffusive behavior in one-dimensional and higher-dimensional systems is qualitatively the same, with the effect of correlations decreasing for increasing dimension. The length dependence of both the self-and transport diffusion is studied for one-dimensional systems. For long lengths the self-diffusion shows a 1/L dependence. Finally, we discuss when agreement with experiments and simulations can be expected. The assumption that particles in different cavities do not interact is expected to hold quantitatively at low and medium particle concentrations if the particles are not strongly interacting.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 8
DOI: 10.1103/PhysRevE.90.052139
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“Dynamical properties and melting of binary two-dimensional colloidal alloys”. Ramos IRO, Ferreira WP, Munarin FF, Peeters FM, Physical review : E : statistical, nonlinear, and soft matter physics 90, 062311 (2014). http://doi.org/10.1103/PhysRevE.90.062311
Abstract: A two-dimensional (2D) binary colloidal system consisting of interacting dipoles is investigated using an analytical approach. Within the harmonic approximation we obtain the phonon spectrum of the system as a function of the composition, dipole-moment ratio, and mass ratio between the small and big particles. Through a systematic analysis of the phonon spectra we are able to determine the stability region of the different lattice structures of the colloidal alloys. The gaps in the phonon frequency spectrum, the optical frequencies in the long-wavelength limit, and the sound velocity are discussed as well. Using the modified Lindemann criterion and within the harmonic approximation we estimate the melting temperature of the sublattice generated by the big particles.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 4
DOI: 10.1103/PhysRevE.90.062311
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“Dynamics of self-organized driven particles with competing range interaction”. Zhao HJ, Misko VR, Peeters FM, Physical review : E : statistical, nonlinear, and soft matter physics 88, 022914 (2013). http://doi.org/10.1103/PhysRevE.88.022914
Abstract: Nonequilibrium self-organized patterns formed by particles interacting through competing range interaction are driven over a substrate by an external force. We show that, with increasing driving force, the preexisted static patterns evolve into dynamic patterns either via disordered phase or depinned patterns or via the formation of nonequilibrium stripes. Strikingly, the stripes are formed either in the direction of the driving force or in the transverse direction, depending on the pinning strength. The revealed dynamical patterns are summarized in a dynamical phase diagram.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 23
DOI: 10.1103/PhysRevE.88.022914
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“Effect of small amounts of hydrogen added to argon glow discharges: hybrid Monte-Carlo-fluid model”. Bogaerts A, Gijbels R, Physical review : E : statistical, nonlinear, and soft matter physics 65, 056402 (2002). http://doi.org/10.1103/PhysRevE.65.056402
Abstract: A hybrid Monte Carlofluid modeling network is developed for an argon-hydrogen mixture, to predict the effect of small amounts of hydrogen added to a dc argon glow discharge. The species considered in the model include the Ar gas atoms, electrons, Ar+ ions and fast Ar atoms, ArH+, H+, H+2 and H+3 ions, and H atoms and H2 molecules, as well as Ar metastable atoms, sputtered Cu atoms, and the corresponding Cu+ ions. Sixty-five reactions between these species are incorporated in the model. The effect of hydrogen on various calculation results is investigated, such as the species densities, the relative role of different production and loss processes for the various species, the cathode sputtering rate and contributions by different bombarding species, and the dissociation degree of H2 and the ionization degree of Ar and Cu. The calculation results are presented and discussed for 1% H2 addition, and comparison is also made with a pure argon discharge and with only 0.1% H2 addition.
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 2.366
Times cited: 33
DOI: 10.1103/PhysRevE.65.056402
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“Electron anisotropic scattering in gases: a formula for Monte Carlo simulations”. Okhrimovskyy A, Bogaerts A, Gijbels R, Physical review : E : statistical, nonlinear, and soft matter physics 65, 037402 (2002). http://doi.org/10.1103/PhysRevE.65.037402
Abstract: The purpose of this Brief Report is to point out the mistake in a formula for anisotropic electron scattering, previously published in Phys. Rev. A 41, 1112 (1990), which is widely used in Monte Carlo models of gas discharges. Anisotropic electron scattering is investigated based on the screened Coulomb potential between electrons and neutral atoms. The approach is also applied for electron scattering by nonpolar neutral molecules. Differential cross sections for electron scattering by Ar, N2, and CH4 are constructed on the basis of momentum and integrated cross sections. The formula derived in this paper is useful for Monte Carlo simulations of gas discharges.
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 2.366
Times cited: 57
DOI: 10.1103/PhysRevE.65.037402
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“Electron Boltzmann kinetic equation averaged over fast electron bouncing and pitch-angle scattering for fast modeling of electron cyclotron resonance discharge”. Kaganovich I, Misina M, Berezhnoi S, Gijbels R, Physical review : E : statistical, nonlinear, and soft matter physics 61, 1875 (2000). http://doi.org/10.1103/PhysRevE.61.1875
Abstract: The electron distribution function (EDF) in an electron cyclotron resonance (ECR) discharge is far from Maxwellian. The self-consistent simulation of ECR discharges requires a calculation of the EDF on every magnetic line for various ion density profiles. The straightforward self-consistent simulation of ECR discharges using the Monte Carlo technique for the EDF calculation is very computer time expensive, since the electron and ion time scales are very different. An electron Boltzmann kinetic equation averaged over the fast electron bouncing and pitch-angle scattering was derived in order to develop an effective and operative tool for the fast modeling (FM) of low-pressure ECR discharges. An analytical solution for the EDF in a loss cone was derived. To check the validity of the FM, one-dimensional (in coordinate) and two-dimensional (in velocity) Monte Carlo simulation codes were developed. The validity of the fast modeling method is proved by comparison with the Monte Carlo simulations. The complete system of equations for FM is presented and ready for use in a comprehensive study of ECR discharges. The variations of plasma density and of wall and sheath potentials are analyzed by solving a self-consistent set of equations for the EDF.
Keywords: A1 Journal article; Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 2.366
Times cited: 31
DOI: 10.1103/PhysRevE.61.1875
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“Ground state and normal-mode spectra of a two-dimensional system of dipole particles confined in a parabolic trap”. Munarin FF, Ferreira WP, Farias GA, Peeters FM, Physical review : E : statistical, nonlinear, and soft matter physics 78, 031405 (2008). http://doi.org/10.1103/PhysRevE.78.031405
Abstract: The ordered configurations of a monolayer of interacting magnetic dipoles confined in a circular parabolic potential are investigated as a function of the dipole moment of the particles. Despite the circular confinement, we find very asymmetric ordered structures like chains and Y-shaped configurations when a magnetic field is applied parallel to the plane of the particles. The normal-mode spectrum of the particles and its dependence on the magnetic field and the strength of the dipole moment of the particles are studied. The vibrational and rotational modes of the spectrum, which are associated with the stability of the system, are investigated in detail. The number of particles is varied and we found different ordering of the particles for different values of the dipole moment and the magnetic field. A ring structure with a large number of particles is observed for high values of the dipole moment of the particles.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.366
Times cited: 5
DOI: 10.1103/PhysRevE.78.031405
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