Simple Models of Many-Fermion Systems

Maruhn, J. A.; Reinhard, P.‐G.; Suraud, E.

doi:10.1007/978-3-642-03839-6

Cited by 50 publications

(59 citation statements)

References 57 publications

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“…Using the standard relations for a degenerate electron gas, r s = 1.92/k F , ε F = 3.68/r 2 s , and ρ 0 = 3/(4πr 3 s ) (see [62]), we obtain τ relax = 0.133…”

Section: Estimate Of the Relaxation Timementioning

confidence: 99%

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A quantum relaxation-time approximation for finite fermion systems

Reinhard

Suraud

2015

Annals of Physics

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We propose a relaxation time approximation for the description of the dynamics of strongly excited fermion systems. Our approach is based on time-dependent density functional theory at the level of the local density approximation. This mean-field picture is augmented by collisional correlations handled in relaxation time approximation which is inspired from the corresponding semi-classical picture. The method involves the estimate of microscopic relaxation rates/times which is presently taken from the well established semi-classical experience. The relaxation time approximation implies evaluation of the instantaneous equilibrium state towards which the dynamical state is progressively driven at the pace of the microscopic relaxation time. As test case, we consider Na clusters of various sizes excited either by a swift ion projectile or by a short and intense laser pulse, driven in various dynamical regimes ranging from linear to strongly non-linear reactions. We observe a strong effect of dissipation on sensitive observables such as net ionization and angular distributions of emitted electrons. The effect is especially large for moderate excitations where typical relaxation/dissipation time scales efficiently compete with ionization for dissipating the available excitation energy. Technical details on the actual procedure to implement a working recipe of such a quantum relaxation approximation are given in appendices for completeness.

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“…Using the standard relations for a degenerate electron gas, r s = 1.92/k F , ε F = 3.68/r 2 s , and ρ 0 = 3/(4πr 3 s ) (see [62]), we obtain τ relax = 0.133…”

Section: Estimate Of the Relaxation Timementioning

confidence: 99%

“…It is preferable to express the rate in term of the intrinsic thermal excitation energy [61,62] E * intr…”

Section: Estimate Of the Relaxation Timementioning

confidence: 99%

A quantum relaxation-time approximation for finite fermion systems

Reinhard

Suraud

2015

Annals of Physics

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“…The latter are described as coherent superposition of one-particle-one-hole (1ph) states in the framework of linearized time-dependent DFT, also known as random-phase approximation (RPA). 49 Of particular interest are here the remarked resonances which appear in the dipole channel, the isovector giant dipole resonance (GDR) in nuclei 50 and Mie surface plasmon resonance in clusters. 42,51 These dipole resonances show up in both systems as prominent peaks in the spectra with some fragmentation due to coupling respectively.…”

Section: Spectral Propertiesmentioning

confidence: 99%

Similarities and Differences Between Nuclei and Metal Clusters

Dinh¹,

Reinhard²,

Suraud³

2017

Nuclear Particle Correlations and Cluster Physics

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Besides the topic of this volume, namely clustering in nuclei, the keyword "cluster" addresses a special form of large molecules consisting out of the same building blocks (atoms or small molecules) piled up to a large compound, so to say a small piece of a solid. A particular species are metal clusters whose valence electrons can be viewed as Fermi liquid. This establishes the similarity to nuclei which also consist of the Fermi liquid of protons and neutrons. In this article, we discuss similarities and differences of nuclei and metal clusters with respect to structure, resonance excitations, and fission. The latter process is closely related, again, to clustering, the emergence of sub-units in a larger compound.

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“…Based on these points, low energy nuclear scientists assume 'strong interaction' as a strange nuclear interaction associated with binding of nucleons and its implications were not considered. High energy nuclear scientists consider nucleons as composite states of quarks and try to understand the nature and strength of strong interaction ( ) [3][4][5][6] are lagging in answering this question. To find a way, we would like to suggest that, by implementing the 'strong coupling constant' of magnitude 0.1186 -in low energy nuclear physics, nuclear charge radius, Fermi's weak coupling constant and strong coupling constant can be studied in a unified picture.…”

Section: Introductionmentioning

confidence: 99%