Skip to main content
SpringerLink
Log in

A New Model of the Electron Gas Effect on the Thermoacoustics of Conductors under Laser Irradiation

  • Published:
Physical Mesomechanics Aims and scope Submit manuscript

Abstract

A two-component model which accounts for electron gas pressure is proposed for describing the dynamics of thermoelastic and thermoacoustics effects in laser-irradiated conductors. The model medium represents two interpenetrating continua such that interacting particles of both exist at each point of the medium. The electron gas in the model comprises free and bound electrons of which the former obey the laws for perfect metals and the latter obey those that account for electron trapping to localized levels and for electron transitions from level to level, i.e., for jump diffusion and hopping conductivity. Unlike the classical model of thermoelasticity, the proposed model is the first to show that the electron gas pressure depends strongly on the temperature difference between the electron gas and the conductor lattice and on the change in the density of free electrons as localized species become free by the Mott mechanism. The duration of acoustic pulses in the conductor lattice is essentially dependent on the time of laser irradiation and on how long the gas and the lattice differ in temperature, with the longest acoustic pulse falling on a certain localized electron density. The model data are compared with experiments.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Khafizov, M., Pakarinen, J., He, L., Henderson, H.B., Manuel, M.V., Nelson, A.T., Jaques, B.J., Butt, D.P., and Hurley, D.H., Subsurface Imaging of Grain Microstructure Using Picosecond Ultrasonics, Acta Mater., 2016, vol. 112, pp. 209–2015. doi 10.1016/j.actamat.2016.04.003

    Article  Google Scholar 

  2. Danilovskyay, V.I., Thermal Stresses in an Elastic Half–Space Due to Sudden Heating of Its Boundary, Prikl. Mat. Mekh., 1950, vol. 14, no. 3, pp. 316–318.

    Google Scholar 

  3. Danilovskaya, V.I., Temperature Field and Stresses Produced in an Elastic Half–Space by a Radiant Energy Flux Incident on Its Boundary, Izv. Akad. NaukSSSR, Mekh. Mashinostr., 1959, no. 3, pp. 129–132.

    MathSciNet  Google Scholar 

  4. Vovnenko, N.V., Zimin, B.A., and Sud'enkov, Yu.V., Experimental Study of Thermoelastic Stresses in Heat–Conducting and Non–Heat–Conducting Solids under Submicrosecond Laser Heating, Tech. Phys., 2011, vol. 56, no. 6, pp. 803–808.

    Article  Google Scholar 

  5. Sudenkov, Yu.V. and Zimin, B.A., Effect of "the Thermal Piston" in a Dynamic Thermoelastic Problem, Int. J. Heat Mass Transfer., 2015, vol. 85, pp. 781–786. doi 10.1016/j.ijheatmasstransfer.2015.01.119

    Article  Google Scholar 

  6. Gurevich, S.Yu. and Petrov, Yu.V., Laser Generation and Electromagnetic Detection of Normal Acoustic Waves in Ferromagnetic Metals, Tech. Phys., 2016, vol. 61, no. 3, pp. 432–435.

    Article  Google Scholar 

  7. Vega–Flick, A., Eliason, J.K., Maznev, A.A., Khanolkar, A., Abi Ghanem, M., Boechler, N., Alvarado–Gil, J.J., and Nelson, K.A., Laser–Induced Transient Grating Setup with Continuously Tunable Period, Rev. Sci. Instrum., 2015, vol. 86, p. 123101. doi 10.1103/PhysRevB. 94.214106

    Google Scholar 

  8. Matsuda, O., Larciprete, M.C., Voti, R.L., and Wright, O.B., Fundamentals of Picosecond Laser Ultrasonics, Ultrasonics, 2014, vol. 56, pp. 3–20. doi 10.1016/j.ultras.2014. 06.005

    Article  Google Scholar 

  9. Rublack, T. and Seifert, G., Femtosecond Laser Delamination of Thin Transparent Layers from Semiconducting Substrates, Opt. Mater. Express., 2011, vol. 1, no. 4, pp. 543–550. doi 10.1364/OME.1.000543

    Article  ADS  Google Scholar 

  10. Barenblatt, G.I. and Vishik, M.I., On the Finite Speed of Propagation in the Problems of Unsteady Filtration of Fluid and Gas in a Porous Medium, Prikl. Mat. Mekh., 1956, vol. 20, no. 3, pp. 411–417.

    Google Scholar 

  11. Barenblatt, G.I. and Zheltov, Yu.P., On the Basic Equations of the Filtration of Homogeneous Fluids in Fissurized Rocks, Dokl. Akad. Nauk SSSR, 1960, vol. 123, no. 3, pp. 545–548.

    Google Scholar 

  12. Indeitsev, D.A., Naumov, V.N., Semenov, B.N., and Belyaev, A.K., Thermoelastic Waves in a Continuum with Complex Structure, ZAMM, 2008, vol. 89, no. 4, pp. 279–287. doi 10.1002/zamm.200800219

    Article  ADS  MATH  Google Scholar 

  13. Abou–Chacra, R., Thouless, D.J., and Anderson, P.W., A Selfconsistent Theory of Localization, J. Phys. C. Solid State Phys., 1973, vol. 6, no. 10, pp. 1734–1752. doi 10. 1088/0022–3719/6/10/009

    Article  ADS  Google Scholar 

  14. Cutler, M. and Mott, N.F., Observation of Anderson Localization in an Electron Gas, Phys. Rev., 1969, vol. 181, no. 3, pp. 1336–1340. doi 10.1103/PhysRev.181.1336

    Article  ADS  Google Scholar 

  15. Landau, L.D. and Lifshits, E.M., Course of Theoretical Physics: Vol. 5. Statistical Physics, Moscow: Nauka, 1976.

    Google Scholar 

  16. Fabrikant, I.I. and Hotop, H., On the Validity of the Arrhenius Equation for Electron Attachment Rate Coefficients, J. Chem. Phys., 2008, vol. 128, no. 12, pp. 308–321. doi 0021–9606/2008/128_12_/124308/8

    Article  Google Scholar 

  17. Tzou, D.Y., Chen, J.K., and Beraun, J.E., Recent Development of Ultrafast Thermoelasticity, J. Thermal Stress., 2005, vol. 28, no. 6–7, pp. 563–594. doi 10.1080/014957 30590929359

    Article  Google Scholar 

  18. Al–Nimr, M.A. and Arpaci, V.S., The Thermal Behavior of Thin Metal Films in the Hyperbolic Two–Step Model, Int. J. Heat Mass Transfer., 2000, vol. 43, no. 11, pp. 2021–2028. doi 10.1016/S0017–9310(99)00160–X

    Article  MATH  Google Scholar 

  19. Chowdhury, I.H. and Xu, X., Heat Transfer in Femtosecond Laser Processing of Metal, Numer. Heat Transf. A. Applicat., 2003, vol. 44, no. 3, pp. 219–232. doi 10.1080/10407780390210224

    Article  ADS  Google Scholar 

  20. Indeitsev, D.A. and Osipova, E.V., A Two–Temperature Model of Optical Excitation of Acoustic Waves in Conductors, Dokl. Phys., 2017, vol. 62, no. 3, pp. 136–140. doi 10.7868/S0869565217080084

    Article  ADS  Google Scholar 

  21. Farmer, D.J., Akimov, A.V., Sharp, J.S., and Kent, A.J., Quantized Phonon Modes in Loaded Polymer Films, J. Appl Phys., 2013, vol. 113, p. 033516. doi 10.1063/1.4774689

    Article  ADS  Google Scholar 

  22. Poyser, C.L., York, W.B., Srikanthreddy, D., Glavin, B.A., Linnik, T.L., Campion, R.P., Akimov, A.V., and Kent, A.J., Phonon Spectroscopy with Chirped Shear and Compressive Acoustic Pulses, Phys. Rev. Lett., 2017, vol. 119, p. 255502. doi 10.1103/PhysRevLett.119. 255502

    Article  ADS  Google Scholar 

  23. Eisenbach, A., Havdala, T., Delahaye, J., Grenet, T., Amir, A., and Frydman, A., Glassy Dynamics in Disordered Electronic Systems Reveal Striking Thermal Memory Effects, Phys. Rev. Lett., 2016, vol. 117, no. 11, p. 116601. doi 10.1103/PhysRevLett. 117.139901

    Article  ADS  Google Scholar 

  24. Johnston, M.B., Whittaker, D.M., Corchia, A., Davies, A.G., and Linfield, E.H., Simulation of Terahertz Generation at Semiconductor Surfaces, Phys. Rev. B, 2002, vol. 65, no. 16, p. 165301. doi 10.1103/PhysRevB.65.165301.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178, Russia

    N. F. Morozov, K. L. Muratikov, D. A. Indeitsev, D. S. Vavilov & B. N. Semenov

  2. Saint Petersburg State University, St. Petersburg, 199064, Russia

    N. F. Morozov, D. A. Indeitsev & B. N. Semenov

  3. loffe Physical Technical Institute, Russian Academy of Sciences, St. Petersburg, 194021, Russia

    K. L. Muratikov

  4. Mozhaisky Military Space Academy, St. Petersburg, 197198, Russia

    D. S. Vavilov

Authors
  1. N. F. Morozov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. L. Muratikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. A. Indeitsev
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. D. S. Vavilov
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. B. N. Semenov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to N. F. Morozov.

Additional information

Russian Text © N.F. Morozov, K.L. Muratikov, D.A. Indeitsev, D.S. Vavilov, B.N. Semenov, 2018, published in Fizicheskaya Mezomekhanika, 2018, Vol. 21, No. 6, pp. 17–22.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Morozov, N.F., Muratikov, K.L., Indeitsev, D.A. et al. A New Model of the Electron Gas Effect on the Thermoacoustics of Conductors under Laser Irradiation. Phys Mesomech 22, 13–17 (2019). https://doi.org/10.1134/S1029959919010041

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1029959919010041

Keywords

Search

Navigation