Stability studies on some hydro-magnetic and other waves in a pair ion plasma with a third species of ions: cometary applications (i) Preamble: In two computer simulation experiments in 2010 and 2013 it was conclusively shown that the crash of a comet on rocky surfaces was all that was needed for seeding planets (and their satellites) with amino acids – the basic building blocks so essential for the development of life. Very recently, it was demonstrated experimentally for the first time in a laboratory that amino acids are indeed produced by mimicking the impact of a rocky body on an icy surface. Mankind, since early times, has always been puzzled about the origin of life on the surface of the earth. The studies and experiment mentioned above have put comets at the forefront for an answer to this long standing puzzle. (ii) Issues of Focus: It has thus become imperative that we thoroughly understand all features of a comet – their physical structure, nature, composition and dynamics of it’s atmosphere, etc. Since the atmosphere around a comet can be expected to be ionized to a large extent (especially when it is nearer the Sun), the importance of understanding plasma processes in a cometary environment needs no special emphasis. (iii) Objectives / Research Focus: One important tool for understanding plasma processes is to study the propagation and stability of waves propagating in that plasma. We therefore propose to study, both analytically and numerically, the propagation and stability of four different waves that have been observed in cometary environments. (iv) Reasons and Justification: As mentioned above, comets are now at the forefront as agents responsible for the origin of life on our earth. Since it is not easy to mimic a cometary atmosphere in the laboratory we will study, theoretically and computationally, the propagation and stability of some of the waves that were observed in cometary plasmas by satellites. (v) Deliverables: The importance and necessity of this study has already been mentioned in section (iii). Besides satisfying a scientific curiosity about an astronomical object that is suddenly in the limelight, we hope to make significant contributions to the growing literature on the various plasma processes in cometary environments. (vi) Work Plan: Hydro-magnetic turbulence in plasma environments of comets was anticipated on theoretical grounds by Ip and Axford in the early 1980s. And this turbulence in the form of Alfven waves was detected by ICE (International Cometary Explorer) satellite at the comet Giacobini-Zinner [1]. Similar turbulence was also observed at comet Halley by the spacecrafts Giotto and Vega [2, 3]. It is generally now accepted that a cometary plasma contains hydrogen (H) and newborn heavier ions such as positively charged oxygen (O+). However, Chaizy et al [4] observed negatively charged oxygen (O-) also in the coma of comet Halley, which was an unexpected discovery. Some of the plasma waves that have been systematically studied by the Plasma Physics Group at the School of Pure & Applied Physics, Mahatma Gandhi University in relation to such plasma environments are the lower hybrid wave, lower hybrid drift wave, the electrostatic ion cyclotron wave, the ion acoustic wave and the kinetic Alfven wave [5 – 13]. Low frequency turbulence, in the frequency range of 10 – 300 Hz, has been observed in the plasma environment of comet Halley. Wave studies in a H – O+ plasma have been carried out by a number of authors and the results have been applied for the explanation of these waves. However, as mentioned above, O- has also been observed. First Phase: The discovery of O- ions allows one to model a cometary plasma as a pair-ion plasma with hydrogen as a third constituent. We thus propose to study the stability of Alfven waves in such a plasma. Dispersion relations will be derived and it’s stability computed for typical parameters. We will also study the stability of the kinetic Alfven waves. While a certain amount of work has already been carried out, the parameter space was restricted to get the equations in a compact form. A complete numerical study would thus extend our analytical results while at the same time exploring a larger parameter space. Second Phase: We also propose to extend our investigations on the stability of obliquely propagating lower hybrid waves in a plasma environment containing positively charged oxygen (O+) and negatively charged oxygen (O- ) ions as the pair ions with hydrogen (H+) and electrons streaming parallel to the magnetic field. Since we are considering oblique propagation, the six independent elements of the dielectric tensor have to be derived for all the species to set up the dispersion relation. An attempt will be made to solve the dispersion relation analytically which is expected to be complicated. A numeric study of the dispersion relation of the dispersion relation will also be made to complement the analytic study. Third Phase: The fourth problem that we propose to consider is the stability of the right and left circularly polarized wave in a plasma of the same composition. We expect to observe additional cut-offs and resonances in this 3 ion plasma as compared to a two ion plasma of hydrogen and positively charged oxygen ions. References [1] B T Tsurutani and E J Smith (1986) Geophys. Res. Lett. 13 259 [2] F Neubauer, K Glessmeier, M Pohl et al (1986) Nature 321 352 [3] W Reidler, K Schwingenschuh, Y G Yeroshenko et al (1986) Nature 321 288 [4] P H Chaizy, H Reme, J A Sauvaud et al (1991) Nature 349 343 [5] Chandu Venugopal, M J Kurian, C P Anilkumar, S Antony & G Renuka (2006) Physica Scripta 73 389 [6] Chandu Venugopal, M J Kurian, V K Premnadh & G Renuka (2007) Ind. J. Phys. 81 445 [7] Chandu Venugopal, M J Kurian, S Antony, C P Anilkumar & G Renuka (2007) Physica Scripta 75 682 [8] M J Kurian, S Jyothi, S K Leju, Molly Isaac, Chandu Venugopal & G Renuka (2009) Pramana – J. Phys 73 1111 [9] Chandu Venugopal, M J Kurian, Savithri Devi E, P J Jessy, C P Anilkumar & G Renuka (2010) Ind. J Phys. 84 319 [10] Samuel George, Savithri Devi E & Chandu Venugopal (2011) Plasma Sci. & Tech. 13 135 [11] Chandu Venugopal, Savithri Devi E, Jayapal R, Samuel George, S Antony & G Renuka (2012) Astrophysics & Space Science 339 157 [12] Noble Abraham, Sijo Sebastian, Sreekala G, R Jayapal, C P Anilkumar & Chandu Venugopal (2013) Journal of Astrophysics, Article Id 838534 doi:10.1155/2013/838534 [13] Noble Abraham, Sijo Sebastian, Sreekala G, Savithri Devi E, G Renuka & Chandu Venugopal (2013) Astrophysics and Space Science (in Press) (vii) Programme schedule, including activity diagram/ Bar chart:During the first six months of the first year we propose to derive the dispersion relation and investigate the stability of Alfven waves in a multi-ion plasma that specifically contains Oions since the discovery of these ions was an unexpected one and enables one to model a cometary plasma as a pair ion plasma with hydrogen ions as a third constituent. In the latter half of the first year we propose to investigate numerically the stability of kinetic Alfven waves in a multi-ion plasma. The analytic expressions have already been derived and what remains is an exhaustive numerical investigation of the full parameter space. During the second year we propose to investigate the stability of lower hybrid waves in a pair-ion plasma; the other constituents being hydrogen and electrons. Since we propose to include all the six independent elements of the dielectric , derivation of the dispersion relation is expected to be tedious and time consuming. Finally, during the first half of the third year, we propose to consider the stability of the right and left circularly polarized wave in multi-ion cometary plasma. The addition of negatively charged oxygen ions is expected to introduce additional cut-offs and resonances when compared to a two ion plasma of hydrogen and positively charged oxygen ions. The final reports will be prepared during the second half of the third year. (viii) Budget: Description of Budget Head (a) Staff JRF Reqd.No. SRF Reqd.No. RA Reqd.No. 1 Emeritus Scientist Allowance Subtotal (b) Contingency Chemicals, samples, glassware etc. Maintenance Information Search (from databases) Travel Any other Subtotal 1st Year 2nd Year 3rd Year 2.64 2.64 2.64 2.40 2.40 2.40 5.04 5.04 5.04 0 0 0 0 0 0 0 0 0 0.50 0.25 0.50 0.25 0.50 0.25 0.75 0.75 0.75 5.79 5.79 (c) Equipment (itemwise) 1. Work Station 3.0 2. Printer 0.2 3. 4. 5. Subtotal (d) Total (e) Total Cost of the Project 3.2 8.99 20.57 (ix) Outcomes and Outputs: The proposed study is expected to lead to a deeper understanding of the propagation characteristics of some important waves in a cometary plasma environment. The results are expected to lead to a deeper understanding of the dynamics and composition of a cometary atmosphere. For the last seven years we have been systematically studying wave propagation and stability in a cometary plasma environment. Some of the important publications related to this area are given below. (x) List of publications with full bibliographic details: Total number of publications : 70. (Only publications during the last 5 years are given below; those related to the proposed project are indicated by a *) 1. Apposite of atmospheric electric parameters with the energy coupling function (ε) during geomagnetic storms at high latitude C P Anilkumar, C Panneerselvam, K U Nair, C Selvaraj , S Gurubaran & C Venugopal Atmospheric Research (2009) 91 201 – 205 (I F: 2.20 Citations: 1) 2. * 3. * 4. Stability of electrostatic ion cyclotron waves in a multi-ion plasma M J Kurian, S Jyothi, S K Leju, Molly Isaac, Chandu Venugopal & G Renuka Pramana - J. of Physics (2009) 73 1111 – 1122 (I F: 0.57 Citations: 0) Low frequency electromagnetic waves in a multi-ion plasma Chandu Venugopal, M J Kurian, Savithri Devi E, P J Jessy, C P Anilkumar Renuka Ind. J Physics (2010) 84 319 – 324 ((I F: 1.78 Citations: 8) & G * Kinetic Alfven waves excited by cometary new born ions with large perpendicular energies Samuel George, Savithri Devi E & Chandu Venugopal Plasma Science and Technology (2011) 13 135 – 139. (I F: 0.51 Citations: 0) 5. Seasonal and solar activity dependence of storm time TEC variation for a low latitude station Palehua P K Subhadra Devi, K Unnikrishnan & C Venugopal J. Atmos. Solar and Terr. Phys. (2011) 73 1687 – 1696 (I F: 1.42 Citations: 0) 6. * The influence of negatively charged heavy ions on kinetic Alfven wave in a cometary environment Chandu Venugopal, Savithri Devi E, Jayapal R, Samuel George, S Antony & G Renuka Astrophysics and Space Science (2012) 339 157 – 164 (I F: 2.06 Citations: 0) 7. Electrostatic ion waves in a magnetised, collisional multi-ion plasma Samuel George, Rajeev V R, Neethu Theresa Willington, R Jayapal, S Antony & C Venugopal Proc. 27th PSSI National Symposium on Plasma Science & Technology (Plasma -2012), Ed Suraj Kumar Sinha, Excel India Publishers, New Delhi, (2013) 96 – 100 (ISBN 978-9382062-82-0) 8. * Dispersion characteristics of kinetic Alfven waves in a multi-ion cometary plasma R Jayapal, Savithri Devi E, Blesson Jose, S Antony, C P Anilkumar & Chandu Venugopal ibid 471 – 475. 9. Electron cyclotron instabilities driven by ion beams perpendicular to the magnetic field Noble P Abraham, Samuel George, Sijo Sebastian, Anju Sreekumar, Aswathy V, Sreekala G & Chandu Venugopal, ibid 479 – 483 10. *Stability of electron cyclotron waves in a multi-ion plasma Noble P Abraham, Samuel George, Blesson Jose, Sijo Sebastian, C P Anilkumar & C Venugopal, ibid 484 – 487 11. Plasma electron temperature variability in lunar surface potential and in electric field under average solar wind conditions S B Rakesh Chandran, G Renuka & Chandu Venugopal Adv. Space Res. (2013) 51 1622 – 1626 (I F: 1.18 Citations: 0) 12. *Ion-acoustic instabilities in a multi-ion plasma Noble P Abraham, Sijo Sebastian, Sreekala G, R Jayapal, C P Anilkumar & Chandu Venugopal Journal of Astrophysics (2013), vol. 2013, Article Id 838534 doi:10.1155/2013/838534 13. Stability of the magnetosonic wave in an anti-loss cone plasma Chandu Venugopal, Samuel George, V R Rajeev, R Jayapal, M J Kurian & C P Anilkumar Ind. J Physics (2013) 87 939 – 945 (I F: 1.78 Citations: 0) 14. *Stability of ion acoustic waves in a pair-ion plasma with a third species of ions: Application to cometary plasmas Noble P Abraham, Sijo Sebastian, Sreekala G, Savithri Devi G, G Renuka & Chandu Venugopal Astrophysics and Space Science (2013) (in Press) (I F: 2.06 Citations: 0) (xi): Summary of proposed research: The discovery of negatively charged oxygen ions (O-) allows one to model a cometary plasma as a pair-ion plasma of positively and negatively charged oxygen ions (O+ and Oions). Electrons and hydrogen ions are the other constituents of our plasma. We intend studying the stability of the Alfen wave, the kinetic Alfven wave, the lower hybrid wave and circularly polarized waves in such a plasma. Pair ion plasmas were first produced in the laboratory in 2005. Though this proposal will be mainly devoted to astrophysical applications, they can easily be adopted to laboratory pair ion plasmas as well.
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