Analysis of Fokker-Planck type stochastic equations with variable boundary conditions in an elementary process of collisional ionization

Безуглов, Н. Н.; Borodin, V. M.; Kazanskiǐ, A. K.; Klyucharev, A. N.; Matveev, A. A.; Orlovskii, K. V.

doi:10.1134/1.1388319

Cited by 28 publications

(57 citation statements)

References 12 publications

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“…The last aspects differ the presented theory from the analogous approaches [3,[17][18][19], where an external electric field is absent. From the other side, despite the obvious consistency of the quantum theory, its practical realization is naturally connected with sufficiently complicated numerical procedure (even accounting availability of such effective numerical codes as "Dirac", "Superatom", Superstructure" and others [4,12,20]).…”

Section: Some Estimates and Conclusionmentioning

confidence: 58%

“…This interesting physical situation can be adequately treated within generalized theory of chaotic drift for the Coulomb electron in the external microwave field (see refs. [12,15,19]). Then the function of distribution f(n,t) of the Rydberg electron on space of effective quantum numbers n should be introduced.…”

Section: Theory Of Collisional Ionization and Operator Approachmentioning

confidence: 99%

“…We may only indicate the estimate for average effective time τ dif for diffusion of electron from level n=n 0 * till the ionization threshold N max (R tn ) and further into continuum (see refs. [17,19]):…”

Section: T) (14)mentioning

confidence: 99%

“…In refs. [15][16][17][18][19] the authors present several new consistent theories for different elementary atomic processes. Though, the the Penning and stochastic collisional ionization of atoms had been a subjecy of intensive theoretical and experimental interest, however, the available level of modelling in not satisfactory [21].…”

Section: Introductionmentioning

confidence: 99%

“…The presented theory is based on the operator perturbation theory [13,14] and FockerPlank stochastic equation method [17,19].…”

Section: Introductionmentioning

confidence: 99%

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Penning and Stochastic Collisional Ionization of Atoms in an External Electric Field

Mikhailenko

Kuznetsova

2009

SEMST

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Abstract. The quantum theory for the Penning and stochastic collisional ionization of atoms in an external electric field is developed and based on the operator perturbation theory and Focker-Plank stochastic equation method. Some estimates of the Penning process cross-sections for He -H, Na pairs are given. Àííîòàöèÿ. Ðàçâèòà êâàíòîâàÿ òåîðèÿ ïåííèíãîâñêîé è ñòîõàñòè÷åñêîé ñòîëêíîâèòåëü-íîé èîíèçàöèè àòîìîâ ïðè íàëè÷èè âíåøíåãî ýëåêòðè÷åñêîãî ïîëÿ íà îñíîâå ôîðìàëèçìà îïåðàòîðíîé òåîðèè âîçìóùåíèé è ìåòîäà ñòîõàñòè÷åñêîãî óðàâíåíèÿ Ôîêêåðà-Ïëàíêà. Ïðèâåäåíû îöåíêè ñå÷åíèé ïåííèíãîâñêîãî ïðîöåññà äëÿ ïàð He -H, Na.Êëþ÷åâûå ñëîâà: ïåííèíãîâñêàÿ èîíèçàöèÿ, ñòîõàñòè÷åñêàÿ ñòîëêíîâèòåëüíàÿ èîíèçà-öèÿ, âíåøíåå ýëåêòðè÷åñêîå ïîëå

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Section: Some Estimates and Conclusionmentioning

confidence: 58%

Section: Theory Of Collisional Ionization and Operator Approachmentioning

confidence: 99%

Section: T) (14)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The presented theory is based on the operator perturbation theory [13,14] and FockerPlank stochastic equation method [17,19].…”

Section: Introductionmentioning

confidence: 99%

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Penning and Stochastic Collisional Ionization of Atoms in an External Electric Field

Mikhailenko

Kuznetsova

2009

SEMST

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The Chemi-Ionization Processes in Slow Collisions of Rydberg Atoms with Ground State Atoms: Mechanism and Applications

et al. 2012

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In this paper the history and the current state of research of the chemi-ionization processes in atom-Rydberg atom collisions is presented. The principal assumptions of the model of such processes based on the dipole resonance mechanism, as well as the problems of stochastic ionization in atom-Rydberg atom collisions, are exposed. The properties of the collision kinetics in atom beams of various types used in contemporary experimentations are briefly described. Results of the calculation of the chemi-ionization rate coefficients are given and discussed for the range of the principal quantum number values 5 ≤ n ≤ 25. The role of the chemi-ionization processes in astrophysical and laboratory low-temperature plasmas, and the contemporary methods of their investigation are described. Also the directions of further research of chemi-ionization processes are discussed in this paper.

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Dynamics Resonances in Atomic States of Astrophysical Relevance

Arefieff¹,

Miculis²,

Безуглов³

et al. 2015

J Astrophys Astron

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Ionized geocosmic media parameters in a thermal and a subthermal range of energy have a number of unique features. The photoresonance plasma that is formed by optical excitation of the lowest excited (resonance) atomic states is one example of conversion of radiation energy into electrical one. Since spontaneous fluorescence of excited atoms is probabilistic, the description of the radiating quantized system evolution along with photons energy transfer in a cold atoms medium, should include elements of stochastic dynamics. Finally, the chaotic dynamics of a weakly bound Rydberg electron over a grid of the energy levels diagram of a quasi-molecular Rydberg complex provides an excitation migration of the electron forward to the ionization continuum. This work aims at discussing the specific features of the dynamic resonances formalism in the description of processes involving Rydberg states of an excited atom, including features in the fluorescence spectrum partially caused by the quantum defect control due to the presence of statistic electromagnetic fields

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Analysis of Fokker-Planck type stochastic equations with variable boundary conditions in an elementary process of collisional ionization

Cited by 28 publications

References 12 publications

Penning and Stochastic Collisional Ionization of Atoms in an External Electric Field

Penning and Stochastic Collisional Ionization of Atoms in an External Electric Field

The Chemi-Ionization Processes in Slow Collisions of Rydberg Atoms with Ground State Atoms: Mechanism and Applications

Dynamics Resonances in Atomic States of Astrophysical Relevance

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