Stopping power of strongly coupled electronic plasmas: Sum rules and asymptotic forms

Ortner, J.; Ткаченко, И. М.

doi:10.1103/physreve.63.026403

Cited by 23 publications

(24 citation statements)

References 46 publications

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“…Clearly, the treatment of the stopping power of these manmade plasmas requirea quantummechanical formulation in all ranges of plasma coupling and degeneracy. The quantum-mechanical description of the energy loss in a way that canbe immediately applied to plasmas under various conditions was obtained anddiscussed in detail in [1,2,3] to name a few. The polarizational contribution to the stopping power S of an electron onecomponent plasma relates it to the system loss function…”

Section: Plasma Stopping Powermentioning

confidence: 99%

Stopping power and straggling in two-component plasmas

Arkhipov¹,

Ashikbayeva²,

Askaruly³

et al. 2015

INT J MATH PHYS

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Abstract. Stopping power S is one of the tools of plasma diagnostics. Particularly, the "minus first" (projectile) velocity power moment of the plasma stopping power or the stopping high-velocity asymptotic form. Usually, the interaction of target electrons with the plasma ions is neglected. Nevertheless, the target plasma electron-ion static structure factor influenceson the plasma polarizational stopping power. This effect hasbeen studied using the Feynman-like form for the plasma loss function 1

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Section: Plasma Stopping Powermentioning

confidence: 99%

Stopping power and straggling in two-component plasmas

Arkhipov¹,

Ashikbayeva²,

Askaruly³

et al. 2015

INT J MATH PHYS

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“…, where E ee is the plasma electron-electron interaction energy density E ee [16] and h ee (0) = g ee (0)−1. Then the wavenumber k 1 is modified to become k…”

Section: Yuv Arkhipov Et Almentioning

confidence: 99%

“…This expression can further be generalized by applying the Fermi golden rule to obtain [13][14][15][16]:…”

mentioning

confidence: 99%

Stopping of relativistic projectiles in two-component plasmas

Arkhipov¹,

Ashikbayeva²,

Askaruly³

et al. 2013

EPL

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-Relativistic and correlation contributions to the polarizational energy losses of heavy projectiles moving in dense two-component plasmas are analyzed within the method of moments that allows one to reconstruct the Lindhard loss function from its three independently known power frequency moments. The techniques employed result in a thorough separation of the relativistic and correlation corrections to the classical asymptotic form for the polarizational losses obtained by Bethe and Larkin. The above corrections are studied numerically at different values of plasma parameters to show that the relativistic contribution enhances only slightly the corresponding value of the stopping power.Introduction. -Measuring energy losses of charged particles beams is an important diagnostics tool in both modern condensed matter and plasma physics. In 1930 Bethe [1] derived a simplified formula for the stopping power that neatly describes the energy losses of fast projectiles moving in a solid modeled as a system of quantum-mechanical oscillators. Later, Larkin [2] clearly demonstrated that the following analogous formula remains valid for fast ions permeating an electron gas

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“…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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Stopping power of strongly coupled electronic plasmas: Sum rules and asymptotic forms

Cited by 23 publications

References 46 publications

Stopping power and straggling in two-component plasmas

Stopping power and straggling in two-component plasmas

Stopping of relativistic projectiles in two-component plasmas

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

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