Thermal Properties of Diffusing Species into Some Host Metals
Keywords:
Spherical coordinate, host metals, partition function, Frobenius methodAbstract
Communication in Physical Sciences, 2024, 11(4): 809-818
Authors: Akaezue Nelson Nwagbogwu*, Ngiangia Alalibor Thompson, and Onyeaju Michael Chukwudi
Received: 16 May 2024/Accepted: 05 September 2024
The study rigorously explored the thermodynamic properties of diffusing species by solving the spherical coordinate equation using the Frobenius method. This mathematical approach enabled the derivation of the partition function and energy equation, which were crucial in determining key thermal properties, including Helmholtz free energy, entropy, internal energy, and heat capacity. It was observed that internal energy and entropy exhibited a strong dependence on temperature, reflecting the dynamic nature of diffusing species in varying thermal environments. The findings provide valuable insights into the behavior of entropy within the classical domain, with both analytical expressions and graphical representations used to illustrate these thermal properties comprehensively. The graphical analysis highlighted the temperature-dependent trends and the critical points where classical and quantum mechanical effects influence the thermodynamic behavior of the system, offering a deeper understanding of the underlying physics.
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Abu-Shady M., Abdel-K.& Ezz-Alarab’ sh.Y. (2016). Masses and thermodynamic Properties of Heavy Mesons in the Non-Relativistic Quark Model using Nikiforov-Urorov Method, Journal of Egyptian Mathematical society, 27, 1 doi:10.1186/s42787-019-0014-0.
Akira, T., Reinhard,C.& Pascal, R. (2018).Partition function and Configurational Entropy in Non-Equilibrium States. A New Theoretical Model Journal/Entropy, 20, 1, 10, 3390 / e20040218
Balanteki, A.B. (2001). Partition function in statistical Mechanics, Symmetric functions, and group Representative, journal of cond-mat.stat-mech, 6, 9, pp. 345-356
Charles, E. L. (2015), Thermodynamic and Transport properties of Silicate Melts and Magma. The Encyclopedia of Volcanoes. 7, pp. 56-67.
Chaudhuri, G. & Gupta, S. (2007), Specific Heat and bimodality in Canonical and Grand Caninocalversons of the thermodynamic model . Physics Review C. 76, 1, 014619.
CIuti, C. (2014) Statistical flickers in Bose – Einstein Condensate of Photons Coefficients by a temperature programmed method. Journal of material research.doi: 10:1103/physics 77
Edet C.O, Amadi P.O. & Ikot A.N (2021) Thermal properties and magnetic susceptability of Hellmann potential in Aharonov-Bohn (AB) flux and magnetic fields at zero and finite temperatures. Journal of Low Temperature Physics ,15, pp. 83-105.
Edet, C. O., Mahmoud, S., Inyang, E. P., Ali, N., Aljunid, S. A., Endut, R., ... & Asjad, M. (2022). Non-relativistic treatment of the 2D electron system interacting via Varshni–Shukla potential using the asymptotic iteration method. Mathematics, 10, 15, 2810- 2824.
Edet C.O., Khodad R., Ettah E.B, Aljunid S.A, Endut R., Ali N., Asjad M. Ushie P.O. & Ikot A.N (2022). Magneto-transport and thermal properties of diatomic molecule under the influence of magnetic and Aharonov-Bohn (AB) fields scientific Reports 1215430. 12, 2,pp 234-243.
Giles, R. (2016) Mathematical Foundations of Thermodynamics. International Series of Monographic on pure and Applied Mathematic.9, pp. 674-689
Hassanabadi H. & Hosseinpour M. (2016). Thermodynamic properties of neutral particle in the presence of topological defects in magnetic cosmic string background Eropean Physics, 76, pp. 553-563
Ikot A.N. Chukwuocha, E.O, Onyeaju, M.C. Onate, C.A, Ita, B.I & Udoh, M.E (2018). Thermodynamic properties of diatomic molecules with general molecular potential. Premana J. Phys, 90, pp. 22-24.
Inyang, E. P., Ali, N., Endut, R., &Aljunid, S. A. (2024) .. Energy spectra, expectation values, and thermodynamic properties of HCL And LiH Diatomic Molecules, Eurasian physical Technical Journal, 21, 47, pp. 124-137.
Inyang, E. P., Ayedun, F., Ibanga, E. A .,Lawal, K. M., Okon I. B., William, E. S.,…& Obisung, E. O. (2022). Analytical solution of the N-dimensional Schrodinger equation with modified screened Kratzer plus inversely quadratic Yukawa potential and thermodynamic properties of selected diatomic molecules. Results in Physics, 43,106075,pp1-14
Inyang, E. P.,Ntibi, J.E., Ibanga, E. A., Ayedun,F., Ibekwe, E. E., &Akpan, I. O., (2021b). Thermodynamic properties and mass spectra of a quarkonium system with Ultra Generalized Exponential-Hyperbolic potential. Communication in Physical Sciences, 7, 2, pp. 97-114
Inyang,E. P., Akpan. I.O.,Ntibi, J.E., & Williams, E.. S.(2012a). Masses and thermodynamic properties of a Qurkonium system, Canadium Journal of Physics, 99, 11, pp. 982-990.
Lavenda, B. H. (2009). A new perspective on thermodynamics. Springer.
Antonov, V. A., & Kondratyev, B. P. (2011). Entropy and irreversibility in classical and quantum mechanics. Journal of Modern Physics, 2, pp. 519-528.
Modarres, M., & Mohamadnejad, A. (2013). The thermodynamic properties of weakly interacting quark-gluon plasma via the one-gluon exchange interaction. Physics of Particles and Nuclei Letters, 10, pp. 99-104.
Inyang, E., & Obisung, E. (2022). The Study of Electronic States of Ni and ScI Molecules with Screened Kratzer Potential. East European Journal of Physics, (3), 32-38.
Obu, J. A., William, E. S., Akpan, I. O., Thompson, E. A., & Inyang, E. P. (2020). Analytical Investigation of the Single-particle energy spectrum in Magic Nuclei of 56Ni and 116Sn. Eur. J. Appl. Phys, 2(1).
Oikawa, K., & Ueshima, N. (2024). Thermodynamic Reassessment of the Binary Cu-Sn, Cu-P, and Sn-P and Ternary Cu-Sn-P Systems. Journal of Phase Equilibria and Diffusion,12,pp 1-20.
Okon, I. B., Onate, C. A., Horchani, R., Popoola, O. O., Omugbe, E., William, E. S., ... & Ikot, A. N. (2023). Thermomagnetic properties and its effects on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and supersymmetric quantum mechanics (SUSYQM) methods. Scientific reports, 13, 1, pp. 8193-8210.
Okorie U.S., Ibekwe E.E., Ikot A.N, Onyeaju M.C & Chukwuocha E.O. (2018) Thermodynamic Properties of Modified Yukawa Potential. Journal of the Korean Physical Society, 73, 9, pp. 1211- 1218
Ravi,D.H.& Paul, A. (2012). Reservoir Fluids: Available data and evaluation of correlations. Centre for energy resources Engineering, Department of chemistry, and Technical University of Lyngby, Denmark. Journal of Materials Science, 23, pp. 229-2306
William, E. S., Inyang, E. P., Akpan, I. O., Obu, J. A., Nwachukwu, A. N., & Inyang, E. P. (2022). Ro-vibrational energies and expectation values of selected diatomic molecules via Varshni plus modified Kratzer potential model. Indian Journal of Physics, 96(, 2, pp. 3461-3476.
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