DOI: 10.1007/bf01343311. Critical statics of elastic phase transitions

Critical statics of elastic phase transitions

10.1007/bf01343311

Crossref journal-article

Springer Science and Business Media LLC

Zeitschrift f�r Physik B Condensed Matter and Quanta (297)

Bibliography

Folk, R., Iro, H., & Schwabl, F. (1976). Critical statics of elastic phase transitions. Zeitschrift Fï¿½r Physik B Condensed Matter and Quanta, 25(1), 69â81.

Authors 3

R. Folk (first)
H. Iro (additional)
F. Schwabl (additional)

References 19 Referenced 94

Folk, R., Iro, H., Schwabl, F.: Phys. Lett.57A, 112 (1976) (10.1016/0375-9601(76)90180-8) / Phys. Lett. by R. Folk (1976)
Wilson, K., Kogut, J.: Phys. Rep.12C, 75 (1974) Shang-keng Ma: Rev. Mod. Phys.45, 589 (1973) Wegner, F.J.: Critical Phenomena and the Renormalization Group, Bonn 1974, in Lecture Notes in Physics, Vol. 37 Fisher, M.: Rev. Mod. Phys.46, 597 (1974) (10.1016/0370-1573(74)90023-4) / Phys. Rep. by K. Wilson (1974)
For cubic crystals Khmelnitskii (Khmelnitskii, D.E.: Sov. Phys. Sol. State16, 2079 (1975)) also came to this conclusion by considering the integral of the square of the propagator, without explicitly calculating logarithmic corrections / Sov. Phys. Sol. State by D.E. Khmelnitskii (1975)
Boccara, J.N.: Ann. Phys. (N.Y.)47, 40 (1968) (10.1016/0003-4916(68)90225-X) / Ann. Phys. (N.Y.) by J.N. Boccara (1968)
Janovec, V., Dvo?ák, V., Petzelt, J.: Czech. J. Phys. B25, 1362 (1975) (10.1007/BF01587561) / Czech. J. Phys. B by V. Janovec (1975)
Fedorov, F.: Theory of Elastic Waves in Crystals. New York: Plenum Press 1968 Landau, L.D., Lifschitz, E.M.: Elastizitätstheorie, Berlin: Akademieverlag 1966 Ludwig, W.: Festkörperphysik I, Frankfurt am Main: Akademische Verlagsgesellschaft 1970 (10.1007/978-1-4757-1275-9) / Theory of Elastic Waves in Crystals by F. Fedorov (1968)
Third order elastic constants are tabulated by Brugger, K.: J. Appl. Phys.36, 759 (1965) (10.1063/1.1714215) / J. Appl. Phys. by K. Brugger (1965)
Hornreich, R.M., Luban, M., Shtrikman, S.: Phys. Rev. Lett.35, 1678 (1975) (10.1103/PhysRevLett.35.1678) / Phys. Rev. Lett. by R.M. Hornreich (1975)
Wegner, F.J.: Phys. Rev. B5, 4529 (1972) Wegner, F.J., Riedel, E.K.: Phys. Rev. B7, 248 (1973) (10.1103/PhysRevB.5.4529) / Phys. Rev. B by F.J. Wegner (1972)
Wilson, K.: Phys. Rev. Lett.28, 548 (1972) (10.1103/PhysRevLett.28.548) / Phys. Rev. Lett. by K. Wilson (1972)
The elastic constants are related to the correlation function by the elastic sum rule (Goetze, W.: Phys. Rev.156, 951 (1967)) $$\mathop {\lim }\limits_{k \to 0} c_{ijlm} k_j k_m \left\langle {u_l (k)u_n ( - k)} \right\rangle = - \frac{\rho }{M}\delta _{in} $$ with $$u_l (k) = \sum\limits_\lambda {e_l (k, \lambda )Q_{k \lambda } } $$ Near the critical point the critical correlation function dominates and the soft elastic constant, which determines the sound velocity in the hydrodynamic region, can be calculated (10.1103/PhysRev.156.951) / Phys. Rev. by W. Goetze (1967)
Larkin, A.I., Khmelnitskii, D.E.: Sov. Phys. JETP29, 1123 (1969) Aharony, A., Fisher, M.E.: Phys. Rev. B8, 3323 (1973) / Sov. Phys. JETP by A.I. Larkin (1969)
See for instance Bergmann, D.J., Halperin, B.I.: Phys. Rev. B13, 2145 (1976) (10.1103/PhysRevB.13.2145) / Phys. Rev. B by D.J. Bergmann (1976)
Aharony, A.: Phys. Rev. B13, 2092 (1976) (10.1103/PhysRevB.13.2092) / Phys. Rev. B by A. Aharony (1976)
Mikeska, H., Schmidt, H.: J. Low Temp. Phys.2, 371 (1970) (10.1007/BF00652508) / J. Low Temp. Phys. by H. Mikeska (1970)
Rehwald, W., Rayl, M., Cohen, R.W., Cody, G.D.: Phys. Rev. B6, 363 (1972) (10.1103/PhysRevB.6.363) / Phys. Rev. B by W. Rehwald (1972)
Bleif, H., Dachs, H., Knorr, K.: Sol. State Comm.9, 1893 (1971) (10.1016/0038-1098(71)90577-1) / Sol. State Comm. by H. Bleif (1971)
Peercy, P.S., Fritz, I.J.: Phys. Rev. Lett.32, 466 (1974) (10.1103/PhysRevLett.32.466) / Phys. Rev. Lett. by P.S. Peercy (1974)
Folk, R., Iro, H., Schwabl, F.: To be published

Dates

Type	When
Created	20 years, 4 months ago (March 27, 2005, 2:08 a.m.)
Deposited	6 years, 3 months ago (May 2, 2019, 10:25 a.m.)
Indexed	3 weeks, 5 days ago (July 28, 2025, 5:41 p.m.)
Issued	49 years, 5 months ago (March 1, 1976)
Published	49 years, 5 months ago (March 1, 1976)
Published Print	49 years, 5 months ago (March 1, 1976)

Funders 0

None

BibTeX

@article{Folk_1976, title={Critical statics of elastic phase transitions}, volume={25}, ISSN={1434-6036}, url={http://dx.doi.org/10.1007/bf01343311}, DOI={10.1007/bf01343311}, number={1}, journal={Zeitschrift f�r Physik B Condensed Matter and Quanta}, publisher={Springer Science and Business Media LLC}, author={Folk, R. and Iro, H. and Schwabl, F.}, year={1976}, month=mar, pages={69–81} }

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