International Journal of Biochemistry, Biophysics & Molecular Biology
Volume 4, Issue 2, December 2019, Pages: 19-24
Received: Feb. 14, 2019;
Accepted: Mar. 25, 2019;
Published: Oct. 23, 2019
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Constantine Xaplanteris, Institute of Nanoscience and Nanotechnology (I.N.N.), National Centre for Scientific Research, Athens, Greece
Loukas Xaplanteris, School of Sciences, National University of Athens, Athens, Greece
As many physical changes and conversions are done by exponential mathematical forms during the time that concerns us, the problem rises when the phenomenon has finished, the conversion is completed and the saturation has come upon the changed quantity. Thus, after the saturation is obtained, time becomes unable to provide us with further information and data. The difficulty becomes substantial when those exponential chronicle changes are used on the chronologies and dating of materials which are under scrutiny. Especially when the duration of time is not extended, the results are limited. Those exponential conversions appear in Plasma Physics in the growth or the damping of the plasma waves, as well. With the present theoretical work a non constant coefficient of the conversion is suggested, whose result is the extension of the conversion time. Also, it is proved that the under-duplication time becomes much more extended than it was with the constant conversion coefficient. Furthermore, it is proved that the under-duplication time continually increases as the under-duplications are multiplied. It should be considered that the initial formulation of the basic physical laws (Coulomb law, Biot-Savart law, law of Universal Gravitation, e.t.c) has been done with the first order approach, taking the ratio coefficients as constants. The present study is an extension of the formulation of the well-known laws with the second order approach.
Exponentially Changeable Quantities; An Attempt to Extend the Transition Time, International Journal of Biochemistry, Biophysics & Molecular Biology.
Vol. 4, No. 2,
2019, pp. 19-24.
Block, D., Piel, A., Schroder, Ch. and Klinger, T. 2001, Syncronization of drift waves. Phys. Rev. E 63, 056401.
Chen, F. 1964 Normal Modes for Electrostatic Ion Waves in an Inhomogeneous Plasma. Phys. Fluids 7, pp. 949-955.
D' Angelo, N. and Motley, R. 1963 Low Frequency Oscillations in a Potassium Plasma. Phys. Fluids 6 (3), pp. 422-425.
L. Spitzer, 1967, Physics of Fully Ionized Gases, 2nd edn. New York: John Wiley & Sons.
H. W. Hendel, B. Coppi F. Perkins and P. A. Politzer, 1967, Collisional Effects in Plasmas-Drift- Wave Experiments and Interpretation, Phys. Rev. Lett. 18. 439).
Ellis, R., Marden-Marshall, E and Majeski, R. 1980 Collisional drift instability of a weekly ionized argon plasma. Plasma Phys. 22, pp. 113-132.
D L. Tang, A P Sun, X M Qiu, and Paul K Chu, “Interaction of Electromagnetic Waves with a Magnetized Nonuniform Plasma Slab”, IEEE Transactions On Plasma Science, VOL. 31, NO. 3, 2003.
C S Gurel and E Oncu, “Interaction of Electromagnetic Wave and Plasma Slab with Partially Linear and Sinusoidal Electron Density Profile”, Progress In Electromagnetics Research Letters, Vol. 12, 171-181, 2009.
A Yeşil and İ Ünal, “Electromagnetic Wave Propagation in Ionospheric Plasma”, In Tech Europe, Vol 10, pp. 190-212, 2011.
Hendel, H. W., Coppi, B., Perkins, F. and Politzer, P. A. 1967. Collisional effects in plasmas-drift-wave experiments and interpretation. Phys. Rev. Lett. 18 pp. 439-442.
Marden-Marshall, E., Ellis, R. F. and Walsh, J. E. 1986 Collisional drift instability in a variable radial electric field. Plasma Phys. 28 (9B), pp. 1461-1482.
A. J. Anastassiades and C. L. Xaplanteris. Growth of a drift wave due to an RF-Field in a magnetized plasma. Bulletin of the American Physical Society, Vol. 25, Issue 8, page 866, 1980.
A. J. Anastassiades and C. L. Xaplanteris. Drift Wave Instability in the presence of an RF-Field in Magnetized Plasma. Journal of the Physical Society of Japan V52, p-p 492-500, Febr. 1983.
C. L. Xaplanteris. Effect of Low Frequency Instability on Hall Conductivity in Plasma. Astrophysics and Space Science Vol 139 number 2, p-p 233-242, December 1987.
C. L. Xaplanteris. Collisional instability into a rare magnetized plasma. An experimental model for magnetospheric and space plasma study. Journal of Plasma Physics Vol 75 Issue 03 pp. 395-406, June 2009.
Tsakalos, E., Christodoulakis, J., Charalambous, L., 2016. Dose Rate calculator (DRc) - A Java application for dose rate and age determination based on luminescence and ESR dating. Archaeometry, DOI: 10.1111/arcm.12162.
Kazantzaki, M., Athanassas, C., Bassiakos, Y., Tsakalos E., 2016. Luminescence dating of Quaternary Coastal deposits of Evoikos Gulf (central Greece). British Archaeological Reports. Chapter 30 published in BAR S2780 Proceedings of the 6th Symposium of the Hellenic Society for Archaeometry, 207-215.
Tsakalos, E., Athanassas, C., Tsipas, P., Triantaphyllou, M., Geraga, M., Papatheodorou, G., Filippaki E., Christodoulakis, J., Kazantzaki, M., 2016. Luminescence geochronology and paleoenvironmental implications of coastal deposits of southeast Cyprus. Journal of Archaeological and Antropological Sciences, DOI: 10.1007/s12520-016-0339-7.
Tsakalos, E., Dimitriou, E., Kazantzaki, M., Anagnostou Ch., Christodoulakis J., Filippaki E., 2018. Testing optically stimulated luminescence dating on sand-sized quartz of deltaic deposits from Sperchios delta plain, Greece. Journal of Palaeogeography, DOI: 10.1016/j.jop.2018.01.001.
C. L. Xaplanteris, L. C. Xaplanteris and D. P. Leousis. Mathematical Modeling on the Exponential Changed Plasma Quantities leads to the more Persuasive Answers. Chaotic Modeling and Simulation (CMSIM) Vol 1: pp 109-128, 2014.
C. L. Xaplanteris, L. C. Xaplanteris and D. P. Leousis. An attempt to Study the Growth rate and Damping Profoundly. Approximate solutions by using Mathematical Models. Plasma Science and Technology Vol. 16. No. 10. pp, 897-906, Oct. 2014.
C. L. Xaplanteris, L. C. Xaplanteris and D. P. Leousis, Approximate models for the study of exponential changed quantities: Application on the plasma waves growth rate or damping. AIP ADVANCES 4, 037123 (2014).