Quasiclassical molecular-dynamics simulations of the electron gas: Dynamic properties

Ortner, J.; Schautz, Friedemann; Ébeling, W.

doi:10.1103/physreve.56.4665

Cited by 19 publications

(26 citation statements)

References 21 publications

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“…(4 -6) [12,14,15], The Nevanlinna formula of the classical theory of moments expresses the dielectric function which satisfies the known sum rules Eqs.…”

Section: Dielectric Formalism: Methods Of Momentsmentioning

confidence: 99%

Stopping Power of Model Plasmas

Ткаченко

Alcobera

Muñoz-Cobo³

2002

Contrib. Plasma Phys.

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“…(4 -6) [12,14,15], The Nevanlinna formula of the classical theory of moments expresses the dielectric function which satisfies the known sum rules Eqs.…”

Section: Dielectric Formalism: Methods Of Momentsmentioning

confidence: 99%

Stopping Power of Model Plasmas

Ткаченко

Alcobera

Muñoz-Cobo³

2002

Contrib. Plasma Phys.

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“…Thus the classical DL conductivity is recovered if we substitute the function q (z) in (14) by its static value q (0) = i/τ . The generalized DL conductivity model (14) (reviewed recently in [8]) does not satisfy the second sum rule (5) for any Nevanlinna function q (z); nevertheless, it does, e.g., for…”

Section: The Drude-lorentz Model From the Point Of View Of The Theorymentioning

confidence: 99%

“…The approach we use here to construct the dynamic longitudinal conductivity was initiated in the papers [3,4], see also [5] and [1] for a recent review 3 . It was later applied to the investigation of dynamic properties and modes in real one-and two-component plasmas [9,10], binary ionic mixtures [11], binary electronic layers [12], model Coulomb systems [13][14][15][16][17], magnetized plasmas [18][19][20], and the plasma stopping power [21][22][23][24]. In all these applications the Nevanlinna formula (10) (for r = 1) was employed with the parameter function q (k,z) substituted by its static value q (k,0) = ih (k), with the positive parameter h (k) found from an asymptotic value of the distribution density under investigation (the static conductivity, the zero-frequency value of the dynamic structure factor, etc.)…”

Section: The Drude-lorentz Model From the Point Of View Of The Theorymentioning

confidence: 99%

Two‐moment modelling of the dynamic longitudinal conductivity of strongly coupled Coulomb systems

Ballester

Ткаченко

2005

Contrib. Plasma Phys.

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A dynamic longitudinal internal conductivity model, derived from the classical method of moments, is applied to the analysis of recent simulation data and reflectivity measurements of shock-compressed dense xenon plasmas. This model satisfies both the non-zero f −sum rule and the second non-zero sum rule, and reproduces the non-monotonicity of the conductivity of dense plasmas beyond the domain of applicability of the Drude-Lorentz model. The Drude-Lorentz model from the point of view of the theory of momentsThe classical model for the (internal) conductivity of dense plasmas and metals,is characterized by two static parameters, the static conductivity σ 0 = σ (ω = 0) = n e e 2 τm −1 = (4π) −1 ω 2 p τ and the relaxation time τ . Here n e is the number density of electrons in the system, −e and m are the electronic charge and mass, and ω p is the plasma frequency.In addition to direct measurements, the static conductivity value can be obtained as [1]Here σ ext (ω) is the external dynamic conductivity of the Coulomb system related to the internal conductivity through the well-known formula 1 [2]:Mathematically, the DL function, σ DL (z), is a simple Nevanlinna (response) function 2 with a single simple pole in the lower half-plane. In addition, the real part of σ DL (z) possesses a single finite frequency moment, which is known also as the f -sum rule:

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“…This definition of an effective Hamiltonian stems from the so-called wave-packet dynamics. In the last time it has found several applications to plasmas [25,26,29,30]. If one chooses for the test wave functions symmetrized and anti-symmetrized combinations of minimum uncertainty wave packets for the particles of species k,…”

Section: Momentum -Dependent Effective Interactionsmentioning

confidence: 99%

Quasiclassical Theory and Simulations of Strongly Coupled Plasmas

Ébeling

Ortner

1998

Physica Scripta

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A survey on the dynamical and thermodynamical properties of plasmas with strong Coulomb interactions in the quasi-classical density-temperature region is given. First the basic theoretical concepts describing nonideality are discussed. The chemical picture is introduced. It is shown that the nonideal plasma subsystem of the free charges has a rather large quasi-classical regime, where the quantum effects yield only corrections to the merely classical dynamics. The plasma of free charges may be described by effective potentials which incorporate quantum effects in an approximative way. The simplest effective potentials are only space-dependent, more advanced methods include momentum-dependent interactions. On the basis of these potentials analytical results are derived and simulation methods are developed. It is shown that effective potentials are appropriate for the description of thermodynamical as well as collective properties.

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Quasiclassical molecular-dynamics simulations of the electron gas: Dynamic properties

Cited by 19 publications

References 21 publications

Stopping Power of Model Plasmas

Stopping Power of Model Plasmas

Two‐moment modelling of the dynamic longitudinal conductivity of strongly coupled Coulomb systems

Quasiclassical Theory and Simulations of Strongly Coupled Plasmas

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