Abstract
Expressions for the characteristic frequency and free energy and the generalized equation of state for a solid possessing a fixed fractal structure are obtained within the framework of the Debye model. The equation of state involves the Grüneisen parameter. Conditions under which the fractal structure of solids is significant are discussed.
Similar content being viewed by others
References
V. N. Zharkov and V. A. Kalinin, Equations of State of Solids at High Temperatures and Pressures (Nauka, Moscow, 1968) [in Russian].
A. V. Bushman and V. E. Fortov, Usp. Fiz. Nauk 140, 177 (1983) [Sov. Phys. Usp. 26, 465 (1983)].
M. A. Podurets, Mat. Modelir. 8(2), 29 (1996).
A. M. Nakhushev, Fractional Calculi and Its Application (Fizmatlit, Moscow, 2003) [in Russian].
S. Sh. Rekhviashvili, Pis’ma Zh. Tekh. Fiz. 30(22), 65 (2004) [Tech. Phys. Lett. 30, 959 (2004)].
S. Sh. Rekhviashvili, Zh. Tekh. Fiz. 78(12), 54 (2008) [Tech. Phys. 55, 1586 (2008)].
N. B. Brandt and S. M Chudinov, Electrons and Phonons in Metals (Izd-vo MGU, Moscow, 1990) [in Russian].
J. A. Reissland, The Physics of Phonons (Wiley, New York, 1973; Mir, Moscow, 1975).
P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley, New York, 1971; Mir, Moscow, 1973).
S. L. Chaplot, Current Sci. 88, 347 (2005).
V. N. Belomestnykh, Pis’ma Zh. Tekh. Fiz. 30(3), 14 (2004) [Tech. Phys. Lett. 30, 91 (2004)].
V. N. Belomestnykh and E. P. Tesleva, Zh. Tekh. Fiz. 74(8), 140 (2004) [Tech. Phys. 49, 1098 (2004)].
D. S. Sanditov, V. V. Mantatov, M. V. Darmaev, and B. D. Sanditov, Zh. Tekh. Fiz. 79(3), 59 (2009) [Tech. Phys. 54, 385 (2009)].
V. V. Novikov and K. W. Wojciechowski, Fiz. Tverd. Tela. (St. Petersburg) 41, 2147 (1999) [Phys. Solid State. 41, 1970 (1999)].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.Sh. Rekhviashvili, 2010, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 36, No. 17, pp. 42–47.
Rights and permissions
About this article
Cite this article
Rekhviashvili, S.S. Equation of state of a solid with fractal structure. Tech. Phys. Lett. 36, 798–800 (2010). https://doi.org/10.1134/S1063785010090075
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063785010090075