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A simple derivation of a new equation of state (EOS) based on Eulerian finite strain and its applicability

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Abstract

We have derived a new equation of state (EOS) based on the Eulerian finite scheme utilising the \(3/2\mathrm{th}\) power of edge length by pressure. By truncating the order of finite strains in the expression of the Helmholtz free energy, we have derived new expressions for second- and third-order EOSs, as well as expressions for bulk modulus and its first pressure derivative. We have considered four materials, viz. CaO, Bi, NaCl and \(\hbox {Fe}_{2\, }\hbox {SiO}_{{4}}\) to test the applicability and validity of the derived EOS. The feature of this EOS shows more validity than other prominent EOSs and corresponds well with the available experimental results.

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Acknowledgements

This research program was supported by Uttar Pradesh Government grant under Research and Development Scheme. The author is thankful to Dr Pushpa Kashyap, Principal, Dr B R Ambedkar Government Degree College, Mainpuri (UP) for providing necessary facilities in the college. The author is also thankful to Prof. V K Rastogi, Indian Spectroscopy Society, KC-68/1, Old Kavinagar, Ghaziabad 201 002, India and Dr Alok Sagar Gautam, Physics Department, H.N.B. Gharwal University, Srinagar, Gharwal, Uttarakhand, India for useful and constructive suggestions during this work. Finally, the author is also grateful to the reviewer for the valuable and constructive suggestions which have been very useful in revising the manuscript.

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  1. Department of Physics, Dr. B R Ambedkar Govt. Degree College, Mainpuri,  205 001, India

    S P Singh

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  1. S P Singh
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Correspondence to S P Singh.

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Singh, S.P. A simple derivation of a new equation of state (EOS) based on Eulerian finite strain and its applicability. Pramana - J Phys 96, 74 (2022). https://doi.org/10.1007/s12043-022-02312-3

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  • DOI: https://doi.org/10.1007/s12043-022-02312-3

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