Some phase transitions in crystals
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Neural Network Phase Transition Complex System Nonlinear Dynamics Electromagnetism
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References
- 1.Landau, L. D., “On the theory of phase transitions”, in Collected Papers of L. D. Landau (ed. D. Ter Haar), New York-London-Paris, Gordon and Breach and Pergamon Press 1965.Google Scholar
- 2.Batterman, B. W., & Barrett, C. S., Crystal structure of superconducting V3Si, Phys. Rev. Lett. 13, 390–392 (1964).Google Scholar
- 3.Anderson, P. W., & Blount, E. I., Symmetry considerations on martensitic transformations: “ferroelectric” metals?, Phys. Rev. Lett. 14, 217–219 (1965).Google Scholar
- 4.Michelson, A., “Weak Lifschitz condition” and the allowed types of ordering in second-order phase transitions, Phys. Rev. B18, 459–464 (1978).Google Scholar
- 5.Weger, M., Silbernagel, B. G., & Greiner, E. S., Effect of stress on the superconducting transition temperature of V3Si, Phys. Rev. Lett. 13, 521–523 (1964).Google Scholar
- 6.Gurtin, M. E., & Williams, W. O., Phases of elastic materials, ZAMP 18, 132–135 (1967).Google Scholar
- 7.Cauchy, A.-L., Sur les équations différentielles d'équilibre ou de mouvement pour un système de points materiels sollicités par des forces d'attraction ou de répulsion mutuelle. Ex. de Math. 4, (1829)≡Œuvres, 9 (2), 162–173 (1891).Google Scholar
- 8.Stakgold, I., The Cauchy relations in a molecular theory of elasticity, Quart. Appl. Math. 8, 169–186 (1949).Google Scholar
- 9.Ericksen, J. L., Nonlinear elasticity of diatomic crystals, Int. J. Solids Structures 6, 951–957 (1970).Google Scholar
- 10.Parry, G. P., On diatomic crystals, Int. J. Solids Structures 14, 283–287 (1978).Google Scholar
- 11.Ericksen, J. L., “Special Topics in Nonlinear Elastostatics”, in Advances in Applied Mechanics (ed. C.-S. Yih), vol. 17, New York, Academic Press, 1977.Google Scholar
- 12.Thompson, J. M. T., “Catastrophe Theory and its Role in Applied Mechanics”, in Theoretical and Applied Mechanics (ed. W. T. Koiter), Amsterdam-New YorkOxford, North Holland Publishing Co. 1976.Google Scholar
- 13.Gibbs, J. W., On the equilibrium of heterogeneous substances, Trans. Conn. Acad. 3, 108–248 (1875–6) and 343–524 (1877–8)≡Scientific Papers, London, Longmans & Green, 1906.Google Scholar
- 14.Thompson, J. M. T., & Hunt, G. W., “A General Theory of Elastic Stability”, London-New York-Sidney-Toronto, John Wiley & Sons, Ltd. 1973.Google Scholar
- 15.Testardi, L. E., & Bateman, T. B., Lattice instability of high-transition-temperature superconductors. II. Single-crystal V3Si results, Phys. Rev. 154, 402–410 (1967).Google Scholar
- 16.Ericksen, J. L., On the symmetry of deformable crystals, Arch. Rational Mech. Anal. 72, 1–13 (1979).Google Scholar
- 17.Keller, K. R., & Hanak, J. J., Ultrasonic measurements in Single-Crystal Nb3Sn, Phys. Rev. 154, 628–632 (1967).Google Scholar
- 18.Dafermos, C. M., The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity, J. Differential Equal. 6, 71–86 (1969).Google Scholar
- 19.Parry, G. P., On the elasticity of monatomic crystals, Math. Proc. Camb. Phil. Soc. 30, 189–211 (1976).Google Scholar
- 20.Pitteri, M., Reconciliation of local and global symmetries of crystals, pending publication.Google Scholar
- 21.Ericksen, J. L., On the symmetry and stability of thermoelastic solids, J. Appl. Mech. 45, 740–744 (1978).Google Scholar
- 22.Love, A. E. H., “A Treatise on the Mathematical Theory of Elasticity”, 4th ed. Cambridge, Cambridge University Press 1927.Google Scholar
- 23.Rehwald, W., Lattice softening and stiffening of single crystal niobium stannide at low temperatures. Phys. Lett. 27A, 287–288 (1968).Google Scholar
- 24.Poincaré, H., Sur l'équilibre d'une masse fluide animée d'un mouvement de rotation, Acta Math. 7, 259–380 (1885).Google Scholar
- 25.Sengers, A. L., Hocken, R., & Sengers, J. V., Critical-point universality and fluids, Physics Today 30, 42–51 (1977).Google Scholar
- 26.Ericksen, J. L., Variations on a bifurication theorem by Poincaré, to appear in Meccanica.Google Scholar
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