On the Klimontovich description of complex (dusty) plasmas

Tolias, Panagiotis

doi:10.1002/ctpp.202200182

Cited by 2 publications

(2 citation statements)

References 86 publications

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“…[48] Finally, Tolias et al computed the spectra of ion density and field fluctuations under the effect of dusty plasmas, [49] and Tolias recently also presented a detailed methodological analysis of Klimontovich's method in applications to dusty plasmas. [50] More information on the application of Klimontovich's method can be found in the overview by Bonitz and Zagorodny. [3] 2.6.2 Fluctuation ensembles.…”

Section: Further Results and Extensions Of The Classical Fluctuations...mentioning

confidence: 99%

Classical and quantum theory of fluctuations for many‐particle systems out of equilibrium

Schroedter,

Bonitz

2024

Contributions to Plasma Physics

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Correlated classical and quantum many‐particle systems out of equilibrium are of high interest in many fields, including dense plasmas, correlated solids, and ultracold atoms. Accurate theoretical description of these systems is challenging both, conceptionally and with respect to computational resources. While for classical systems, in principle, exact simulations are possible via molecular dynamics, this is not the case for quantum systems. Alternatively, one can use many‐particle approaches such as hydrodynamics, kinetic theory, or nonequilibrium Green functions (NEGF). However, NEGF exhibit a very unfavorable cubic scaling of the CPU time with the number of time steps. An alternative is the G1–G2 scheme [N. Schlünzen et al., Phys. Rev. Lett. 124, 076601 (2020)] which allows for NEGF simulations with time linear scaling, however, at the cost of large memory consumption. The reason is the need to store the two‐particle correlation function. This problem can be overcome for a number of approximations by reformulating the kinetic equations in terms of fluctuations – an approach that was developed, for classical systems, by Yu.L. Klimontovich [JETP 33, 982 (1957)]. Here, we present an overview of his ideas and extend them to quantum systems. In particular, we demonstrate that this quantum fluctuations approach can reproduce the nonequilibrium GW approximation [E. Schroedter et al., Cond. Matt. Phys. 25, 23401 (2022)] promising high accuracy at low computational cost which arises from an effective semiclassical stochastic sampling procedure. We also demonstrate how to extend the approach to the two‐time exchange‐correlation functions and the density response properties. [E. Schroedter et al., Phys. Rev. B 108, 205109 (2023)]. The results are equivalent to the Bethe–Salpeter equation for the two‐time exchange‐correlation function when the generalized Kadanoff‐Baym ansatz with Hartree‐Fock propagators is applied [E. Schroedter and M. Bonitz, phys. stat. sol. (b) 2024, 2300564].

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Section: Further Results and Extensions Of The Classical Fluctuations...mentioning

confidence: 99%

Classical and quantum theory of fluctuations for many‐particle systems out of equilibrium

Schroedter,

Bonitz

2024

Contributions to Plasma Physics

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“…A consistent description of kinetic and hydrodynamic processes is necessary for dust plasma [12,[32][33][34][35][36][37][38][39]. The non-equilibrium state of such a multicomponent system of charges and neutral particles is connected with the dynamics of each of the components and the interaction between them.…”

Section: Introductionmentioning

confidence: 99%

Unification of kinetic and hydrodynamic approaches in the theory of dense gases and liquids far from equilibrium

Токарчук¹

2023

Math. Model. Comput.

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A system of non-Markovian transport equations is obtained for the non-equilibrium one-particle distribution function of particles and the non-equilibrium average value of the density of the potential energy of the interaction of the system particles far from the equilibrium state. Expressions for entropy, the partition function of the non-equilibrium state of the system, as well as non-equilibrium thermodynamic relations were obtained. The generalized structure of transfer nuclei is revealed in detail with the selection of short-range and long-range contributions of interactions between particles. The connection of transport nuclei with generalized diffusion coefficients, friction in the space of coordinates and momentum and the potential part of the thermal conductivity coefficient is established.

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On the Klimontovich description of complex (dusty) plasmas

Cited by 2 publications

References 86 publications

Classical and quantum theory of fluctuations for many‐particle systems out of equilibrium

Classical and quantum theory of fluctuations for many‐particle systems out of equilibrium

Unification of kinetic and hydrodynamic approaches in the theory of dense gases and liquids far from equilibrium

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