Electron-ion interaction in a weakly ionized gas

The effective electron-ion collision frequency has been measured in a weakly ionized gas. Results are in good agreement with classical theories for the electron-ion interaction in plasmas.     

Kinetic approach to the propagation of electromagnetic waves in a weakly ionized plasma

Summary High-frequency wave phenomena in a partially ionized plasma are analysed in the frame of the kinetic theory without resorting to perturbation techniques. In particular, we obtain the electron distribution function in an external electric field alternating in both time and position, and then the electrical conductivity and the dispersion relation. Corrections to the results of the macroscopic theory are evaluated up to any desired order.

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Riassunto Il fenomeno della propagazione di un'onda elettromagnetica in un plasma parzialmente ionizzato è analizzato nell'ambito della teoria cinetica. Il metodo proposto consente di ricavare la funzione di distribuzione degli elettroni senza dover ricorrere a tecniche perturbative. Si riportano le espressioni esatte della conducibilità elettrica e della legge di dispersione e, quindi, le correzioni da apportare ai risultati ottenuti con la teoria macroscopica.

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Резюме В рамках кинетической теории анализизируется явление распространения электромагнитных волн в частично ионизованной плазме. Предложенный метод позволяет получить электронную функцию распределения во внешнем электрическом поле без использования теории возмущений. Затем определяются электрическая проводимость и дисперсионное соотношение. Поправки к резулятатам макроскопической теории оцениваются в любом желаемом порядке.

     

A stochastic approach to the hadron spectrum. I

In this paper the squared mass of the hadron is defined as a random variable, whose average is the measured quantity. This leads to a mass formula, of a unique type for mesons and baryons, with a general law for the spin variation of the coefficients. The central squared masses form an overall geometrical scheme; in the baryon case it contains trajectories which are a fine structure of the Regge trajectories. For the accurately measured masses the difference between the computed and experimental value lies within 5 MeV for mesons and baryons. The geometrical scheme will be the basis for the computation of the decay rates, to be developed in the next paper.     

Dissipation of energy of low-frequency waves in a weakly ionized gas

The properties of low-frequency waves in a slightly ionized gas are discussed on the basis of the Boltzmann transport and Maxwell equations. Special attention is paid to decay mechanisms forcing the gas to thermal equilibrium. It is shown that the collisional exchange of energy between ions and neutral atoms may considerably influence the dispersion equations of several modes of oscillations.The author wishes to thank Mrs. E. Dosoudilová for executing the numerical computations.     

Steady-state electric discharge in a weakly ionized gas at thermal equilibrium

The similarity properties of a discharge in a weakly ionized gas at thermal equilibrium are examined. The conditions for a developed discharge are shown to be governed by a dimensionless discharge parameter. An explicit dependence of the discharge parameter on the potential difference, the pressure, and the type of gas is found.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, Vol. 2, No. 4, pp. 116–120, April, 1969.     

Condensation mode instability in a heat-releasing weakly ionized gas in a magnetic field

Linear equations and dispersion relations describing the condensation mode in weakly ionized plasma with heat release, being in an external magnetic field, are derived. The conditions of the instability onset of the condensation mode of the ion component are found.     

Kerr effect caused by an electric current in a weakly ionized gas

The anisotropy of the velocity distribution caused by an electric current in a fluid leads to a molecular alignment via the non-spherical interaction. This alignment implies a birefringence proportional to the square of the applied electric field just as the ordinary Kerr effect. The kinetic theory of this phenomenon is presented for a lorentzian mixture, viz. a gas of few light charged linear molecules and of many heavy optically isotropic particles. The current-induced contribution to the Kerr effect turns out to be much larger than the contribution which stems from the usually considered orienting influence of the electric field on anisotropic molecules.     

Supersonic air-scoop flows of a weakly ionized gas in external electromagnetic field

Steady supersonic flows of a weakly ionized gas in external electric and magnetic fields computed for the problem of flow control in the air scoop of a supersonic vehicle. The numerical simulation was based on a second-order accurate marching scheme for the Euler equations. Effects of plasma and electromagnetic-field parameters on flow structure and distributions of flow variables are analyzed.     

非相对论弱相互作用玻色气体的有效场理论处理

采用有效场理论研究了非相对论弱相互作用玻色-爱因斯坦凝聚量子气体的一般性质.在分析了系统的不可重整化性质后,从有效拉氏量出发,计算了最低阶环路修正下拉氏量参量的运动耦合常数(running coupling constant)的形式,并且得到了相应的微分方程.研究结果表明,不同于相对论玻色气体的有效理论,对非相对论弱相互作用的玻色气体,可以移除该有效理论中的内禀能量尺度,即可令该有效理论的内禀能量尺度取无穷大值.所得的分析结果将有助于对玻色-爱因斯坦凝聚的临界性质和行为的深入研究.     

Exact stochastic mean-field approach to the fermionic many-body problem

We investigate a reformulation of the dynamics of interacting fermion systems in terms of a stochastic extension of time-dependent Hartree-Fock equations. From a path-integral representation of the evolution operator, we show that the exact N-body state can be interpreted as a coherent average over Slater determinants evolving in a random mean-field. The imaginary time propagation is also presented and gives a similar scheme which converges to the exact ground state. In addition, the growth of statistical errors is examined to show the stability of this stochastic formulation.     

A revised model for the paired-electron gas plasma in a magnetic field and its application to experimental determinations on weakly ionized rare-gas plasmas

Summary The formation of electron pairs at the glass walls of the enclosing container in a low-pressure, high-frequency, electrodeless, rare-gas discharge is discussed. The pairs drift towards the discharge tube axis under the acceleration of the weak radial-space-charge electric field. The properties of the gas in an uniform magnetic field are outlined in a model which is subsequently applied to experimental data from four different experiments in four rare gases. Determinations of plasma parameters from the analyses of the experiments are found to agree. The values for the pair aggregation number,n′, for the excited plasmas on the tube axis range from one at low-power excitation to between ten and twenty at higher powers. In the afterglow plasmas following the cessation of the energizing current pulse (which is typically 20 ms in duration), the aggregation number varies from one in the body of the gas to between one and five on the tube axis. The direct evidence for the presence of electron pairs, and aggregates of electron pairs, is obtained from the ≪spin-flip≫ of single electrons of a pair in a magnetic field, an event which destroys the pair, or pair aggregate, and the associated experimental phenomena.

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Riassunto Si discute la formazione di coppie di elettroni, sulle pareti di vetro del contenitore circostante in una discarica a bassa pressione, alta frequenza, senza elettrodi e a gas rari. Le coppie si spostano verso l’asse del tubo della discarica con l’accelerazione del campo elettrico debole con carica di spazio radiale. Le proprietà del gas in un campo magnetico uniforme sono sottolineate in un modello che è successivamente applicato a dati sperimentali da quattro diversi esperimenti in quattro gas rari. Si trova che i valori dei parametri del plasma dalle analisi degli esperimenti sono in accordo. I valori del numero di aggregazione della coppia,n′, per i plasma eccitati sugli assi del tubo variano da 1 ad eccitazione a bassa potenza a 10÷20 ad alte potenze. Nei plasmi a fluorescenza che seguono la cessazione dell’impulso di corrente energizzante (che dura tipicamente 20 ms) il numero di aggregazione varia da uno nel corpo del gas a 1÷5 sull’asse del tubo. La prova diretta della presenza delle coppie di elettroni, e di aggregati di coppie di elettroni è ottenuta dallo ≪spin-flip≫ di elettroni singoli di una coppia in un campo magnetico, un evento che distrugge la coppia, o l’aggregato di coppie, e dagli associati fenomeni sperimentali.

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Резюме Обсуждается образование электронных пар на стеклянных стенках замкнутого контейнера при высокочастотном, безэлектродном разряде в разреженном газе при низком давлении. Пары дрейфуют по направлению к оси разрядной трубки под действием электрического поля слабого радиального пространственного заряда. Описываются свойства газа в однородном магнитном поле, используя модель, которая впоследствии применяется к экспериментальным данным из четырех различных экспериментов, проведенных для четырех разреженных газов. Обнаружено хорошее согласие при определении параметроб плазмы из анализа указанных экспериментов. Значения для числа электронных пар в агрегации,n′, для возбужденной плазмы на оси трубки изменяется от единицы при инзкой степени возбуждения до величины между десятью и двадцатью при высоких степенях возбуждения. При послесвечении плазмы, после прекращения возбуждающего имлульса тока (который обычно имеет длительность 20 мс), число пар в агрегации изменяется от единицы в объеме газа до величины между единицей и пятью на оси трубки. Получено прямое подтверждение для наличия электронных пар и агрегаций электронных пар из изменения ориентции спина отдельных злектронов пары в магнитном поле, т.е. из события, которое разрушает пару или агрегации рар, и из связанных экспериментальных явлений.

     

A stochastic approach to the hadron spectrum. III

The connection with the quarks of the stochastic model proposed in the two preceding papers is studied; the slopes of the baryon trajectories are calculated with reference to the quarks. Suggestions are made for the interpretation of the model (quadratic or linear addition of the contributions to the mass, dependence of the decay on the quantum numbers of the hadrons involved, etc.) and concerning its link with the quarkonium model, which describes the mesons with charm or beauty. The controversial question of the subquantum level is examined.     

A stochastic approach to the hadron spectrum. II

The definition of mass as a random variable is applied to the study of the decay rates. A decay is assumed possible when the fluctuation of the Gaussian variables involved makes a definite relation satisfied. Computing the probability of this process leads to the determination of the decay amplitude. This calculation, unified for baryons and mesons, is worked out in the lower and medium spectrum (up to2000 MeV for baryons and mesons), and fits to20 MeV the accurate measurements of width and branching ratios.     

Covariant Wigner function approach to the relativistic charged gas in a strong magnetic field: I. Electron gas in thermal equilibrium

The relativistic quantum electron gas embedded in a strong magnetic field is studied by calculating its covariant Wigner function in thermal equilibrium. Previous results obtained earlier by Canuto and Chiu are then recovered in a unified way. The polarization tensor is calculated with the use of a covariant quantum BGK equation. Also the lifetime of the neutron in such a medium is calculated for the sake of illustration of the usefulness of the covariant Wigner function.     

Charging of a conducting sphere moving in a weakly ionized gas under an arbitrarily oriented external uniform electric field

A charging conducting sphere moving in a weakly ionized gas is investigated. An external uniform electric field is applied with arbitrary orientation relative to the gas flow. The ion current is obtained analytically and investigated numerically in ballistic assumption. It is shown that charging regimes depend not only on the net charge of the sphere but also on the gas flow type, and the parameter ξ_± – the ratio of ion drift velocity far from the sphere to the gas velocity. The cases |ξ_±|<1 and |ξ_±|>1 yield two different charging regimes for Stokes and potential flows. For the potential flow, the ion current has been found analytically in continuous ξ_±-parameter space. The stationary charge of an isolated sphere is also calculated numerically as a function of α. It achieves maximum magnitudes in direct (α=0) and back (α=π) flows respectively.     

Experimental evidence for the breakdown of a Hartree-Fock approach in a weakly interacting Bose gas

We investigate the physics underlying the presence of a quasicondensate in a nearly one dimensional, weakly interacting trapped atomic Bose gas. We show that a Hartree-Fock (mean-field) approach fails to predict the existence of the quasicondensate in the center of the cloud: the quasicondensate is generated by interaction-induced correlations between atoms and not by a saturation of the excited states. Numerical calculations based on Bogoliubov theory give an estimate of the crossover density in agreement with experimental results.     

Macroscopic velocity of ions in a weakly ionized plasma in the crossed fields

Macroscopic velocity of energetic ions from energy spectra measured with electrostatic microanalyzer in the direction along and against the drift was found. It turned out, that in the investigated range of velocities a little below the critical one it is possible to describe the macroscopic motion of ions by the drift theory.The authors wish to thank Dr JanVáa and Prof.Jií Kracík for their interest and support, DrPavel unka for many helpful discussions, Mr J.Dvoák for his technical assistance throughout the work and Mr J.Zubec for manufacturing of the microanalyzer.     

Dilute Fermi gas in quasi-one-dimensional traps: from weakly interacting fermions via hard core bosons to a weakly interacting Bose gas

We study equilibrium properties of a cold two-component Fermi gas confined in a quasi-one-dimensional trap of the transverse size l(perpendicular). In the dilute limit (nl(perpendicular)<1, where n is the 1D density) the problem is exactly solvable for an arbitrary 3D fermionic scattering length aF. When l(perpendicular)/aF goes from -infinity to +infinity, the system successively passes three regimes: weakly interacting Fermi gas, hard core Bose gas, and weakly coupled Bose gas. The regimes are separated by two crossovers at aF approximately +/-nl2(perpendicular). In conclusion, we discuss experimental implications of these results.