Theory of the positive column of a gas discharge

An attempt is made to provide a theoretical explanation of the effect of the positive column on the voltage-current characteristic of a glow or an arc discharge. Such theories have been developed before, and all are based on balancing the production and loss of charged particles and accounting for the energy supplied to the plasma by the applied electric field. Differences among the theories arise from the approximations and omissions made in selecting processes that affect the particle and energy balances. This work is primarily concerned with the deviation from the ambipolar description of the positive column caused by space charge, electron-ion volume recombination, and temperature inhomogeneities.

The presentation is divided into three parts, the first of which involved the derivation of the final macroscopic equations from kinetic theory. The final equations are obtained by taking the first three moments of the Boltzmann equation for each of the three species in the plasma. Although the method used and the equations obtained are not novel, the derivation is carried out in detail in order to appraise the validity of numerous approximations and to justify the use of data from other sources. The equations are applied to a molecular hydrogen discharge contained between parallel walls. The applied electric field is parallel to the walls, and the dependent variables—electron and ion flux to the walls, electron and ion densities, transverse electric field, and gas temperature—vary only in the direction perpendicular to the walls. The mathematical description is given by a sixth-order nonlinear two-point boundary value problem which contains the applied field as a parameter. The amount of neutral gas and its temperature at the walls are held fixed, and the relation between the applied field and the electron density at the center of the discharge is obtained in the process of solving the problem. This relation corresponds to that between current and voltage and is used to interpret the effect of space charge, recombination, and temperature inhomogeneities on the voltage-current characteristic of the discharge.

The complete solution of the equations is impractical both numerically and analytically, and in Part II the gas temperature is assumed uniform so as to focus on the combined effects of space charge and recombination. The terms representing these effects are treated as perturbations to equations that would otherwise describe the ambipolar situation. However, the term representing space charge is not negligible in a thin boundary layer or sheath near the walls, and consequently the perturbation problem is singular. Separate solutions must be obtained in the sheath and in the main region of the discharge, and the relation between the electron density and the applied field is not determined until these solutions are matched.

In Part III the electron and ion densities are assumed equal, and the complicated space-charge calculation is thereby replaced by the ambipolar description. Recombination and temperature inhomogeneities are both important at high values of the electron density. However, the formulation of the problem permits a comparison of the relative effects, and temperature inhomogeneities are shown to be important at lower values of the electron density than recombination. The equations are solved by a direct numerical integration and by treating the term representing temperature inhomogeneities as a perturbation.

The conclusions reached in the study are primarily concerned with the association of the relation between electron density and axial field with the voltage-current characteristic. It is known that the effect of space charge can account for the subnormal glow discharge and that the normal glow corresponds to a close approach to an ambipolar situation. The effect of temperature inhomogeneities helps explain the decreasing characteristic of the arc, and the effect of recombination is not expected to appear except at very high electron densities.

Dielectric recovery of short A-C arcs between low-boiling-point electrodes

The re-ignition characteristics (variation of re-ignition voltage with time after current zero) of short alternating current arcs between plane brass electrodes in air were studied by observing the average re-ignition voltages on the screen of a cathode-ray oscilloscope and controlling the rates of rise of voltage by varying the shunting capacitance and hence the natural period of oscillation of the reactors used to limit the current. The shape of these characteristics and the effects on them of varying the electrode separation, air pressure, and current strength were determined.

The results show that short arc spaces recover dielectric strength in two distinct stages. The first stage agrees in shape and magnitude with a previously developed theory that all voltage is concentrated across a partially deionized space charge layer which increases its breakdown voltage with diminishing density of ionization in the field-tree space. The second stage appears to follow complete deionization by the electric field due to displacement of the field-free region by the space charge layer, its magnitude and shape appearing to be due simply to increase in gas density due to cooling. Temperatures calculated from this second stage and ion densities determined from the first stage by means of the space charge equation and an extrapolation of the temperature curve are consistent with recent measurements of arc value by other methods. Analysis or the decrease with time of the apparent ion density shows that diffusion alone is adequate to explain the results and that volume recombination is not. The effects on the characteristics of variations in the parameters investigated are found to be in accord with previous results and with the theory if deionization mainly by diffusion be assumed.

Contraction et décontraction des décharges micro-ondes entretenues à la pression atmosphérique

Les colonnes de plasma entretenues par un champ électrique (continu ou alternatif) à haute pression (p > 10 Torr) sont affectées par les phénomènes de contraction (réduction de la section radiale de la décharge) et de filamentation (fragmentation de la section de plasma en plusieurs filaments). La compréhension de ces phénomènes ainsi que le développement d’une méthode pouvant les supprimer demeurent une étape essentielle pour l’optimisation de certains procédés plasma. Dans cette optique, un premier objectif de notre travail était de déterminer les mécanismes à l’origine de la contraction et de la filamentation dans les décharges créées dans des gaz rares. Ainsi, nous avons montré que dans les plasmas micro-ondes contractés la cinétique de la décharge est contrôlée par les ions moléculaires et que la contraction est liée à l’influence du gradient de la température du gaz sur la concentration de ces ions. De plus, nous avons mis en évidence que la filamentation apparaît lorsque l’inhomogénéité radiale du champ électrique devient importante. Dans un second temps, nous avons développé une méthode de décontraction et de défilamentation de la décharge, qui consiste à ajouter à une décharge initiale de gaz rare des traces d’un autre gaz rare de plus faible potentiel d’ionisation. Dans le cas des plasmas décontractés, nous avons démontré que la cinétique de la décharge n’est plus contrôlée par les ions moléculaires, ce qui confirme bien l’importance de ces ions dans la description de la contraction. Pour terminer, nous avons étendu à la pression atmosphérique la technique d’absorption optique de mesure de densité des états métastables et résonnants à l’aide d’une lampe spectrale, ce qui n’avait été réalisé jusqu’ici que pour des pressions inférieures à 10 Torr. Ces états jouent un rôle essentiel dans l’ionisation des décharges contractées alors que dans les décharges décontractées leur désexcitation par les atomes du gaz adjuvant est l’étape fondamentale du processus de changement de cinétique menant à la décontraction.

Ultralow surface recombination velocity in InP nanowires probed by terahertz spectroscopy.

Using transient terahertz photoconductivity measurements, we have made noncontact, room temperature measurements of the ultrafast charge carrier dynamics in InP nanowires. InP nanowires exhibited a very long photoconductivity lifetime of over 1 ns, and carrier lifetimes were remarkably insensitive to surface states despite the large nanowire surface area-to-volume ratio. An exceptionally low surface recombination velocity (170 cm/s) was recorded at room temperature. These results suggest that InP nanowires are prime candidates for optoelectronic devices, particularly photovoltaic devices, without the need for surface passivation. We found that the carrier mobility is not limited by nanowire diameter but is strongly limited by the presence of planar crystallographic defects such as stacking faults in these predominantly wurtzite nanowires. These findings show the great potential of very narrow InP nanowires for electronic devices but indicate that improvements in the crystallographic uniformity of InP nanowires will be critical for future nanowire device engineering.

A second order control-volume finite-element least-squares strategy for simulating diffusion in strongly anisotropic media

An unstructured mesh �nite volume discretisation method for simulating di�usion in anisotropic media in two-dimensional space is discussed. This technique is considered as an extension of the fully implicit hybrid control-volume �nite-element method and it retains the local continuity of the ux at the control volume faces. A least squares function recon- struction technique together with a new ux decomposition strategy is used to obtain an accurate ux approximation at the control volume face, ensuring that the overall accuracy of the spatial discretisation maintains second order. This paper highlights that the new technique coincides with the traditional shape function technique when the correction term is neglected and that it signi�cantly increases the accuracy of the previous linear scheme on coarse meshes when applied to media that exhibit very strong to extreme anisotropy ratios. It is concluded that the method can be used on both regular and irregular meshes, and appears independent of the mesh quality.

AITPM Email Newsletter Volume 0902, February 2009: Presidents Message

President’s Report Hello fellow AITPM members, Welcome to the first edition of the AITPM National Newsletter for 2009! I trust we all had a relaxing break and managed to lose track of all things transport for just a little while. I know I had trouble doing so when hunting for a car space at the shopping centre, and experiencing new projects such as the Tugun Bypass – the new gateway between New South Wales and Queensland. Byron Bay is now as close as Noosa for those high profile beach goers of Brisbane. There was also my experience of the reduced posted speed of 90km/h on the Bruce Highway around the troublesome Gympie stretch, when returning from a short Fraser Coast holiday. I expect that this relatively inexpensive safety improvement will pay substantial dividends in terms of crash reduction. The Newsletter took its annual leave last month and is refreshed and ready for a new year to keep us all informed of the latest in traffic and transport engineering, planning and management. I would like to take this opportunity to acknowledge the ongoing significant contributions of many volunteers in the Newsletter’s production. Mr Andrew Hulse, AITPM’s Immediate Past National President, serves as the Editorial Coordinator on behalf of the Institute. Each Branch Committee also includes a Newsletter Coordinator and committee members frequently contribute as well. And the ongoing contributions of readers enable us to offer the Newsletter as a vehicle for dialogue and debate around our sector. If you would like to contribute please email AITPM’s administration officer Josephine Mitton at aitpm@aitpm.com or through your local Branch Committee. I would also like to welcome back on deck our Editor, Mr David Brown of Driven Media, who creates a fantastic package for us each month. Lastly, members would have received the Call for Papers for the AITPM 2009 National Conference, Traffic Beyond Tomorrow, to be held at the Adelaide Convention Centre between 5 – 7 August. Abstracts will be accepted up to 20 February 2009. We look forward to seeing everyone at this, our flagship event for the year. To all a good year ahead, Jon Bunker Post Script: We all will have seen through the media the enormous scale and nature of the two natural disasters Australia is experiencing at present. AITPM’s thoughts are with all of those members, family and friends who may be experiencing hardship as a result of the Victorian bushfires and North Queensland floods. AITPM is a not for profit organisation however the National Executive has taken the decision to donate in measure to the Red Cross Victorian Bushfire Disaster Relief fund and the Queensland Premier’s Disaster Relief fund as a gesture to support our fellow Australians in their time of need. Details about these funds can be found via the Victorian and Queensland Governments’ websites.

AITPM Email Newsletter Volume 0903, March 2009: Presidents Message

President’s Report Hello fellow AITPM members, First I would like on behalf of all AITPM members to send our condolences to all who have been affected by February’s tragic bushfires in regional Victoria, and deliver our best wishes to all of those involved in the rebuilding efforts. Over time I expect that the Victorian Government’s Royal Commission will analyse the circumstances and put forward a range of measures which will improve fire safety in vulnerable areas. As transport professionals it will be important for us to consider the findings and look to undertaking any recommendations that relate to the work we do. Not only in Victoria, but nationwide. In particular, the importance of logistics was highlighted following the fire events. Donors across Australia were this time requested to donate money rather than goods, presumably due in part to problems associated with the transport system coping with additional uncoordinated freight load, whilst being needed to support emergency management vehicle and managed freight movements. Notwithstanding, it was wonderful to see otherwise difficult to obtain goods, such as animal feed, being donated from far afield and transported in kind by trucking operators. As stated in last month’s Newsletter, AITPM made a direct cash donation to the Red Cross Bushfire Appeal immediately following the events, and a further donation to the Queensland Premier’s Disaster Relief Fund to support recovery after the North Queensland floods, which claimed seven lives. Again, we will need to monitor how the rebuilding effort unfolds particularly in regional Victoria and centres including Ingham in North Queensland, but I would urge all AITPM members who are in a position to support the restoration of the affected communities to play a part, particularly over time once the initial shock subsides and the steady job of rebuilding is underway. Onto lighter matters, AITPM’s flagship event, the 2009 AITPM National Conference, Traffic Beyond Tomorrow, being held in Adelaide from 5 to 7 August, is fast approaching. www.aitpm.com has all of the details about how to register, sponsor a booth, and so forth. We are looking forward to catching up with our conference “regulars” and meeting with new folks to AITPM, and Australian traffic and transport planning and management. Adelaide is one of my favourite places to visit and I’m looking forward to riding the light rail line extension through town and checking out progress on the road system development. Best regards all, Jon Bunker

AITPM Email Newsletter Volume 0904, April 2009: Presidents Message

President’s Report Hello fellow AITPM members, A few weeks ago we saw another example of all levels of Government pulling together in real time to try to deal with a major transport incident, this time it was container loads of ammonium nitrate falling off the Pacific Adventurer during Cyclone Hamish and the associated major oil spill due to piercing of its hull off Moreton Bay in southern Queensland. The oil spill was extensive, affecting beaches and estuaries from Moreton Island north to the Sunshine Coast; a coastal stretch of at least 60km. We saw the Queensland Government, Brisbane, Moreton Bay and Sunshine Coast Regional Council crews deployed quickly once the gravity of the situation was realised to clean up toxic oil on beaches and prevent extensive upstream contamination. Environmental agencies public and private were quick to respond to help affected wildlife. The Navy’s HMAS Yarra and another minesweeper were deployed to search for the containers in the coastal area in an effort to have them salvaged before all ammonium nitrate could leach into and harm marine habitat, which would have a substantial impact not only on that environment but also the fishing industry. all of this during the final fortnight before a State election.) While this could be branded as a maritime problem, the road transport and logistics system was crucial to the cleanup. The private vehicular ferries were enlisted to transport plant and equipment from Brisbane to Moreton Island. The plant themselves, such as graders, were drawn from road building and maintenance inventory. Hundreds of Councils’ staff were released from other activities to undertake the cleanup. While it will take some time for us to know the long term impacts of this incident, it seems difficult to fault “grassroots” government crews and their private counterparts, such as Island tourism staff, in the initial cleanup effort. From a traffic planning and management perspective, we should also remember that this sort of incident has happened on road and rail corridors in the past, albeit on lesser scales. It underlines that we do need to continue to protect communities, commercial interests, and the environment through rigorous heavy vehicle management, planning and management of dangerous goods routesincluding rail corridors through urban areas), and carefully considered incident and disaster recovery plans and protocols. I’d like to close in reminding everyone again that AITPM’s flagship event, the 2009 AITPM National Conference, Traffic Beyond Tomorrow, is being held in Adelaide from 5 to 7 August. SA Branch President Paul Morris informs me that we have had over 50 paper submissions to date, from which a very balanced and informative programme of sessions has been prepared. www.aitpm.com has all of the details about how to register, sponsor a booth, session, etc. Best regards all, Jon Bunker

AITPM Email Newsletter Volume 0905, May 2009: Presidents Message

President’s Message Hello fellow AITPM members, We’ve been offered a lot of press lately about the Federal Government’s plan for the multibillion dollar rollout of its high speed broadband network, which at the moment is being rated to a speed of 100Mb/s. This seems fantastic in comparison to the not atypical 250 to 500kb/s that I receive on my metropolitan cable broadband, which incidentally my service provider rates at theoretical speeds of up to 8 Mb/s. I have no doubt that such a scheme will generate significant advantages to business and consumers. However, I also have some reservations. Only a few of years ago I marvelled at my first 256Mb USB stick, which cost my employer about $90. Last month I purchased a 16Gb stick with a free computer carry bag for $80, which on the back of my envelope has given me about 72 times the value of my first USB stick not including the carry bag! I am pretty sure the technology industry will find a way to eventually push a lot more than 100Mb/s down the optic fibre network just as they have done with pushing several Mb/s ADSL2 down antique copper wire. This makes me wonder about the general problem of inbuilt obsolescence of all things high-tech due to rapid advances in the tech industry. As a transport professional I then think to myself that our industry has been moving forward at somewhat of a slower pace. We certainly have had major milestones having significant impacts, such as the move from horse and cart to the self propelled motor vehicle, sealing and formal geometric design of roads, development of motorways, signalisation of intersections, coordination of networks, to simulation modelling for real time adaptive control (perhaps major change has been at a frequency of 30 years or so?). But now with ITS truly penetrating the transport market, largely thanks to the in-car GPS navigator, smart phone, e-toll and e-ticket, I believe that to avoid our own obsolescence we’re going to need to “plan for ITS” rather than just what we seem to have been doing up until now, that is, to get it out there. And we’ll likely need to do it at a faster pace. It will involve understanding how to data mine enormous data sets, better understanding the human/machine interface, keeping pace with automotive technology more closely, resolving the ethical and privacy chestnuts, and in the main actually planning for ITS to make peoples’ lives easier rather than harder. And in amongst this we’ll need to keep pace with the types of technology advances similar to my USB stick example above. All the while we’ll be making a brand new set of friends in the disciplines that will morph into ITS along with us. Hopefully these will all be “good” problems for our profession to have. I should close in reminding everyone again that AITPM’s flagship event, the 2009 AITPM National Conference, Traffic Beyond Tomorrow, is being held in Adelaide from 5 to 7 August. www.aitpm.com has all of the details about how to register, sponsor a booth, session, etc. Best regards all, Jon Bunker