Stopping of relativistic ions in multicomponent plasmas

Investigation of the processes of stopping of charged particles moving in different media is of significant interest for many realms of Physics, such that Nuclear Physics, Condensed Matter Physics, Plasma Physics, etc. The problem of evaluation of energy losses of relativistic protons has acquired special importance recently [1] and, due to the experimental conditions, it is necessary to estimate relativistic corrections to the asymptotic form of energy losses in non-ideal multicomponent plasmas..

Stopping of relativistic ions in multicomponent plasmas

Investigation of the processes of stopping of charged particles moving in different media is of significant interest for many realms of Physics, such that Nuclear Physics, Condensed Matter Physics, Plasma Physics, etc. The problem of evaluation of energy losses of relativistic protons has acquired special importance recently [1] and, due to the experimental conditions, it is necessary to estimate relativistic corrections to the asymptotic form of energy losses in non-ideal multicomponent plasmas..

The stopping power and straggling of strongly coupled electron fluids revisited

Measuring energy losses of beams of charged particles is an important diagnostic tool in both modern condensed matter and plasma physics..

Multiplexed detection of cancer biomarkers using an optical biosensor

Early detection of cancer is important in administering timely treatment and increasing cancer survival rates. For early cancer detection one can use biomarkers, which are characteristics that can be objectively measured or evaluated as indicators of normal or pathogenic processes. In our study we study three protein biomarkers: carcinoembryonic antigen (CEA), interleukin-6 (IL-6) and extracellular protein kinase A (ECPKA), which have been implicated in various types of human cancer. The main objective of this project is to develop a biosensor for detection of multiple cancer biomarkers. To detect these protein biomarkers high affinity ssDNA aptamers are being selected. Aptamers are short single stranded DNAs with an ability to bind to various targets with high affinity and specificity which selected by SELEX (Systemic Evolution of Ligands through Exponential enrichment) [2]. Ultimately, aptamers against each of the biomarker will be conjugated to magnetic nanoparticles to capture biomarkers from biological fluids. Another aptamer is proposed to be conjugated to quantum dots for quantitation of biomarkers when analyzed on spectrometer

Multiplexed detection of cancer biomarkers using an optical biosensor

Early detection of cancer is important in administering timely treatment and increasing cancer survival rates. For early cancer detection one can use biomarkers, which are characteristics that can be objectively measured or evaluated as indicators of normal or pathogenic processes. In our study we study three protein biomarkers: carcinoembryonic antigen (CEA), interleukin-6 (IL-6) and extracellular protein kinase A (ECPKA), which have been implicated in various types of human cancer. The main objective of this project is to develop a biosensor for detection of multiple cancer biomarkers. To detect these protein biomarkers high affinity ssDNA aptamers are being selected. Aptamers are short single stranded DNAs with an ability to bind to various targets with high affinity and specificity which selected by SELEX (Systemic Evolution of Ligands through Exponential enrichment) [2]. Ultimately, aptamers against each of the biomarker will be conjugated to magnetic nanoparticles to capture biomarkers from biological fluids. Another aptamer is proposed to be conjugated to quantum dots for quantitation of biomarkers when analyzed on spectrometer

Stopping of relativistic projectiles in two-component plasmas

Relativistic and correlation contributions to the polarizational energy losses of heavy projectiles moving in dense two-component plasmas are analyzed within the method of moments that allows one to reconstruct the Lindhard loss function from its three independently known power frequency moments. The techniques employed result in a thorough separation of the relativistic and correlation corrections to the classical asymptotic form for the polarizational losses obtained by Bethe and Larkin. The above corrections are studied numerically at different values of plasma parameters to show that the relativistic contribution enhances only slightly the corresponding value of the stopping power.This research was financially supported by the Spanish Ministerio de Educacion y Ciencia Project No. ENE2010-21116-C02-02 and by the Science Committee of the Ministry of Education and Sciences of the Republic of Kazakhstan under Grants No. 1128/GF, 1129/GF and 1099/GF. IMT acknowledges the hospitality of the al-Farabi Kazakh National University.Arkhipov, YV.; Ashikbayeva, AB.; Askaruly, A.; Davletov, AE.; Tkachenko Gorski, IM. (2013). Stopping of relativistic projectiles in two-component plasmas. EPL. 104(3):35003-p1-35003-p6. https://doi.org/10.1209/0295-5075/104/35003S35003-p135003-p6104

Dielectric function of dense plasmas, their stopping power, and sum rules

Mathematical, particularly, asymptotic properties of the random-phase approximation, Mermin approximation, and extended Mermin-type approximation of the coupled plasma dielectric function are analyzed within the method of moments. These models are generalized for two-component plasmas. Some drawbacks and advantages of the above models are pointed out. The two-component plasma stopping power is shown to be enhanced with respect to that of the electron fluid.The authors acknowledge financial support from the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan under Grants No. 1128/GF, No. 1129/GF, and No. 1099/GF. Yu. V.A. expresses gratitude for financial support provided by the Ministry by a grant "The Best Professor" and I.M.T. is grateful to the al-Farabi Kazakh National University for its hospitality. We are also grateful to I.V. Morozov for providing numerical data published in [31,32].Arkhipov, YV.; Ashikbayeva, AB.; Askaruly, A.; Davletov, AE.; Tkachenko Gorski, IM. (2014). Dielectric function of dense plasmas, their stopping power, and sum rules. Physical Review E. 90(5). doi:10.1103/PhysRevE.90.053102S90

Optical properties of kelbg-pseudopotential-modelled plasmas

Simulation data on hydrogen-like plasmas, modelled with the Kelbg pseudopotential, are treated within the classical theory of moments. The possibility is analyzed for the model inverse dielectric function to satisfy five convergent sum rules and other exact relations. The sum rules are the power frequency moments of the loss function and the latter are calculated using the hypernetted chain approximation with the Kelbg interaction potential. An approach to the reconstruction of the Nevanlinna parameter function is proposed and successfully tested against the simulation data. Conclusions on the applicability of the Kelbg potential are drawn and a model is put forward to define the Coulomb dielectric function with the space dispersion taken into account.This work was partially supported by the Spanish Ministerio de Ciencia e Innovacion under Grant No. ENE2010-21116-C02-02 and by the Sciences Committee of the Ministry of Education and Sciences of the Republic of Kazakhstan under Grants No. 1128/GF, 1129/GF and 1099/GF. The authors acknowledge the financial support of KazNU and are thankful to I. V. Morozov for providing the numerical data; I. M. T. is grateful to the UPV for the granted sabbatical leave and to the KazNU for its hospitality.Arkhipov, YV.; Ashikbayeva, AB.; Askaruly, A.; Davletov, AE.; Tkachenko Gorski, IM. (2013). Optical properties of kelbg-pseudopotential-modelled plasmas. Contributions to Plasma Physics. 53(4-5):375-384. https://doi.org/10.1002/ctpp.201200113S375384534-5Ballester, D., & Tkachenko, I. M. (2005). Two-moment modelling of the dynamic longitudinal conductivity of strongly coupled Coulomb systems. Contributions to Plasma Physics, 45(3-4), 293-299. doi:10.1002/ctpp.200510033Tkachenko, I. M., & Ballester, D. (2005). Reconstruction of internal longitudinal conductivity of non-ideal plasmas by exact relations and sum rules. Journal of Physics: Conference Series, 11, 82-88. doi:10.1088/1742-6596/11/1/008Arkhipov, Y. V., Askaruly, A., Ballester, D., Davletov, A. E., Meirkanova, G. M., & Tkachenko, I. M. (2007). Collective and static properties of model two-component plasmas. Physical Review E, 76(2). doi:10.1103/physreve.76.026403Arkhipov, Y. V., Askaruly, A., Davletov, A. E., & Tkachenko, I. M. (2010). Dynamic Properties of One-Component Moderately Coupled Plasmas: The Mixed Löwner-Nevanlinna-Pick Approach. Contributions to Plasma Physics, 50(1), 69-76. doi:10.1002/ctpp.201010015Arkhipov, Y. V., Askaruly, A., Baimbetov, F. B., Ballester, D., Davletov, A. E., Meirkanova, G. M., & Tkachenko, I. M. (2010). Optical Properties of Model Moderately Coupled Plasmas. Contributions to Plasma Physics, 50(2), 165-176. doi:10.1002/ctpp.201010031Arkhipov, Y. V., Askaruly, A., Ballester, D., Davletov, A. E., Tkachenko, I. M., & Zwicknagel, G. (2010). Dynamic properties of one-component strongly coupled plasmas: The sum-rule approach. Physical Review E, 81(2). doi:10.1103/physreve.81.026402Filippov, A. V., Starostin, A. N., Tkachenko, I. M., & Fortov, V. E. (2011). Dust acoustic waves in complex plasmas at elevated pressure. Physics Letters A, 376(1), 31-38. doi:10.1016/j.physleta.2011.10.030M. G. Krein A. A. Nudel'man “The Markov moment problem and extremal problems”, Trans. of Math. Monographs, 50, Amer. Math. Soc., Providence, R. I.,1977.N. I. Akhiezer “The Classical Moment Problem”, Hafner Publishing Company, N. Y., 1965.Adamyan, V., Alcober, J., & Tkachenko, I. (2003). Applied Mathematics Research eXpress, 2003(2), 33. doi:10.1155/s1687120003212028J. Alcober I. M. Tkachenko M. Urrea In: “Integral Methods in Science and Engineering”, Ed. C. Constanda, Eugenia Pérez, Ch. 2 , 11-20, 2009, Birkhäuser Verlag, Basel, Switzerland.Reinholz, H., Morozov, I., Röpke, G., & Millat, T. (2004). Internal versus external conductivity of a dense plasma: Many-particle theory and simulations. Physical Review E, 69(6). doi:10.1103/physreve.69.066412Morozov, I., Reinholz, H., Röpke, G., Wierling, A., & Zwicknagel, G. (2005). Molecular dynamics simulations of optical conductivity of dense plasmas. Physical Review E, 71(6). doi:10.1103/physreve.71.066408S. Ichimaru “Statistical Plasma Physics”, Addison-Wesley, New York, 1991, Vol. 1; S. Ichimaru, “Statistical Plasma Physics: Condensed Plasmas” Addison-Wesley, New York, 1994, Vol. 2.I. M. Tkachenko Yu. V. Arkhipov A. Askaruly “The Method of Moments and its Applications in Plasma Physics”, LAMBERT Academic Publishing, Saarbrucken, Germany, 2012.Maksimov, E. G., Dolgov, O. V., & Dolgov, O. V. (2007). Physics-Uspekhi, 50(9), 933. doi:10.1070/pu2007v050n09abeh006213D. Pines P. Nozièrs “The Theory of Quantum Liquids”, Benjamin, NY, 1966.M. J. Corbatón I. M. Tkachenko International Conference on Strongly Coupled Coulomb Systems, Camerino, Italy, 2008, Book of Abstracts, p. 90.Kugler, A. A. (1975). Theory of the local field correction in an electron gas. Journal of Statistical Physics, 12(1), 35-87. doi:10.1007/bf01024183Baus, M., Hansen, J.-P., & Sjögren, L. (1981). Electrical conductivity of a strongly coupled hydrogen plasma. Physics Letters A, 82(4), 180-182. doi:10.1016/0375-9601(81)90115-8Reinholz, H. (2005). Dielectric and optical properties of dense plasmas. Annales de Physique, 30(4-5), 1-187. doi:10.1051/anphys:2006004D. N. Zubarev V. Morozov G. Röpke “Relaxation and HydrodynamicProcesses”, Vol. 2 of Statistical Mechanics of Nonequilibrium Processes, Akademie Verlag/Wiley, Berlin, 1997.Röpke, G. (1998). Dielectric function and electrical dc conductivity of nonideal plasmas. Physical Review E, 57(4), 4673-4683. doi:10.1103/physreve.57.4673Reinholz, H., Redmer, R., Röpke, G., & Wierling, A. (2000). Long-wavelength limit of the dynamical local-field factor and dynamical conductivity of a two-component plasma. Physical Review E, 62(4), 5648-5666. doi:10.1103/physreve.62.564

Collective phenomena in a quasi-classical electron fluid within the interpolational self-consistent method of moments

Collective processes in a quasi-classical electron gas are investigated within the framework of the interpolational self-consistent method of moments, which makes it possible to express the dispersion and decrement of plasma waves, and the dynamic structural factor of the system exclusively in terms of its static structural factor so that five sum rules are satisfied automatically. Different models are used of the static structure factor; the stability and robustness of the results of the moment approach taking into account the accuracy of these models is confirmed and tested by comparison to the alternative molecular dynamics simulation data

Screened Effective Interaction Potential for Two-Component Plasmas

The linear density response formalism is used to analytically obtain an effective pairwise interaction potential of charged particles that simultaneously takes into account quantum mechanical and quantum statistical effects in weakly and moderately non-ideal plasmas at thermal equilibrium. The static dielectric function is obtained by interpolating long - and short wavelength asymptotic forms of the dielectric function in the random-phase approximation. The exchange effects are neglected in the micropotential, while the quantum-statistical effects are accounted for in the screening. The effective potential constructed in such a way takes a finite value at the origin and proves to be screened at large distances. The thermodynamic properties of two-component plasmas are then calculated and comparison is made with some data available in the literature. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, WeinheimArkhipov, YV.; Ashikbayeva, AB.; Askaruly, A.; Davletov, AE.; Dubovtsev, DY.; Tkachenko Gorski, IM. (2016). Screened Effective Interaction Potential for Two-Component Plasmas. Contributions to Plasma Physics. 56(5):403-410. doi:10.1002/ctpp.201500129S403410565Deutsch, C. (1977). Nodal expansion in a real matter plasma. Physics Letters A, 60(4), 317-318. doi:10.1016/0375-9601(77)90111-6Ebeling, W., Norman, G. E., Valuev, A. A., & Valuev, I. A. (1999). Quasiclassical Theory and Molecular Dynamics of Two-Component Nonideal Plasmas. Contributions to Plasma Physics, 39(1-2), 61-64. doi:10.1002/ctpp.2150390115Filinov, A. V., Bonitz, M., & Ebeling, W. (2003). Improved Kelbg potential for correlated Coulomb systems. Journal of Physics A: Mathematical and General, 36(22), 5957-5962. doi:10.1088/0305-4470/36/22/317Morozov, I., Reinholz, H., Röpke, G., Wierling, A., & Zwicknagel, G. (2005). Molecular dynamics simulations of optical conductivity of dense plasmas. Physical Review E, 71(6). doi:10.1103/physreve.71.066408Arkhipov, Y. V., & Davletov, A. E. (1998). Screened pseudopotential and static structure factors of semiclassical two-component plasmas. Physics Letters A, 247(4-5), 339-342. doi:10.1016/s0375-9601(98)00613-6Yu. V. Arkhipov F. B. Baimbetov A. E. Davletov K. V. Starikov Pseudopotential theory of dense hot plasmas (Qazaq Universiteti, Almaty, 2002), p. 115 (in Russian).S. Ichimaru Statistical Plasma Physics (Addison-Wesley, New York, 1991), Vol. 1.Moldabekov, Z., Schoof, T., Ludwig, P., Bonitz, M., & Ramazanov, T. (2015). Statically screened ion potential and Bohm potential in a quantum plasma. Physics of Plasmas, 22(10), 102104. doi:10.1063/1.4932051A. I. Akhiezer S. V. Peletminsky Methods of Statistical Physics. International Series in Natural Philosophy (Pergamon Press, Oxford, 1981), Vol. 104.Arista, N. R., & Brandt, W. (1984). Dielectric response of quantum plasmas in thermal equilibrium. Physical Review A, 29(3), 1471-1480. doi:10.1103/physreva.29.1471Arkhipov, Y. V., Askaruly, A., Davletov, A. E., Dubovtsev, D., … Yerimbetova, L. (2014). Interparticle interaction potential in two-component plasmas. Physical Sciences and Technology, 1(1), 55-59. doi:10.26577/phst-2014-1-14Arkhipov, Y. V., Baimbetov, F. B., Davletov, A. E., & Ramazanov, T. S. (1999). Equilibrium Properties of H-Plasma. Contributions to Plasma Physics, 39(6), 495-499. doi:10.1002/ctpp.2150390603Hansen, J. P., & McDonald, I. R. (1981). Microscopic simulation of a strongly coupled hydrogen plasma. Physical Review A, 23(4), 2041-2059. doi:10.1103/physreva.23.2041L. D. Landau E. M. Lifshitz Statistical Physics (Pergamon Press, Oxford, 1980).I. Z. Fisher Statistical Theory of Liquids (University of Chicago Press, Chicago, 1964), p. 335.Tanaka, S., Yan, X.-Z., & Ichimaru, S. (1990). Equation of state and conductivities of dense hydrogen plasmas near the metal-insulator transition. Physical Review A, 41(10), 5616-5625. doi:10.1103/physreva.41.5616Pierleoni, C., Ceperley, D. M., Bernu, B., & Magro, W. R. (1994). Equation of State of the Hydrogen Plasma by Path Integral Monte Carlo Simulation. Physical Review Letters, 73(16), 2145-2149. doi:10.1103/physrevlett.73.2145Chihara, J. (1991). Comment on ‘‘Equation of state and conductivities of dense hydrogen plasmas near the metal-insulator transition’’. Physical Review A, 44(12), 8446-8447. doi:10.1103/physreva.44.8446Ichimaru, S. (1991). Reply to ‘‘Comment on ‘Equation of state and conductivities of dense hydrogen plasmas near the metal-insulator transition’ ’’. Physical Review A, 44(12), 8448-8449. doi:10.1103/physreva.44.844