Abstract
As already indicated, Nature does not rely on geometry alone to build structures. Energy considerations also play an important role, to which we now direct attention.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. D. Landau: Collected Papers of L. D. Landau, ed. by D. Ter Haar ( Pergamon, London 1965 ) p. 193
E. M. Lifshitz, L. P. Pitaevskii: Landau—Lifshitz Course of Theoretical Physics: Statistical Physics Part I ( Pergamon, Oxford 1980 )
J. P. Elliott, P. G. Dawber: Symmetry in Physics (Macmillan Press, London 1979 ) Vol. 2, p. 326
M. V. Janie: Phys. Rev. Lett. 55, 607 (1985)
S. Alexander, J. P. McTague: Phys. Rev. Lett. 41, 702 (1978)
P. Bak: Phys. Rev. Lett. 54, 1517 (1985): Phys. Rev. B 32, 5764 (1985)
N. D. Mermin, S. Troian: Phys. Rev. Lett. 54, 1524 (1985)
P. A. Kalugin, A. Yu. Kitaev, L. S. Levitov: Pis’ma Zh. Eksp. Teor. Fiz. 41, 119 (1985) [English trans.: JETP Lett. 41, 145 (1985)]; J. Physique Lett. 46, L601 (1985)
M. V. Janie: Preprint 1986
P. J. Steinhardt, D. R. Nelson, M. Ronchetti: Phys. Rev. B 28, 784 (1983)
A. D. J. Haymet: Phys. Rev. B 27, 1725 (1983)
D. R. Nelson, J. Toner: Phys. Rev. B 24 363 (1981)
Y. Fujii, S. Hoshino, Y. Yamada, G. Shirane: Phys. Rev. B 9, 4549 (1974)
D. R. Nelson, M. Widom: Nuclear Phys. B 240, 113 (1984)
S. Sachdev, D. R. Nelson: Phys. Rev. Lett. 53, 1947 (1984)
S. Sachdev, D. R. Nelson: Phys. Rev. B 32, 1480 (1985)
G. Venkataraman, D. Sahoo: Contemp. Phys. 27, 1 (1986)
J. Proust: Adv. Phys. 33, 1 (1984)
G. Grinstein, T. C. Lubensky, J. Toner: Phys. Rev. B 33, 3306 (1986)
P. De Gennes: The Physics of Liquid Crystals ( Oxford University Press, London 1974 )
G. E. Volovik, N. P. Mineev: Zh. Eksp. Teor. Fiz. 72 2256 [English transi.: JETP 45 1186 (1977)]
P. G. De Gennes: Solid State Commun. 10, 753 (1972)
M. Kleman: Points, Lines and Walls ( Wiley, New York 1983 )
B. I Halperin, T. C. Lubensky, S. K. Ma: Phys. Rev. Lett. 32 2922 (1974)
P. C. Martin, O. Parodi, P. S. Pershan: Phys. Rev. A 6, 2401 (1972)
D. Forster: Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions ( Benjamin, New York 1975 )
D. Levine, T. C. Lubensky, S. Ostlund, S. Ramaswamy, P. J. Steinhardt, J. Toner: Phys. Rev. Lett. 54, 1520 (1985)
T. C. Lubensky, S. Ramaswamy, J. Toner: Phys. Rev. B 32, 7444 (1985)
M. Born, K. Huang: Dynamical Theory of Crystal Lattices ( Clarendon Press, Oxford 1954 )
G. Venkataraman, L. A. Feldkamp, V. C. Sahni: Dynamics of Perfect Crystals ( MIT Press, Cambridge Mass. 1974 )
K. G. Wilson: Physica, 73, 119 (1974)
K. G. Wilson: Rev. Mod. Phys. 55, 583 (1983)
P. Pfeuty, G. Toulouse: Introduction to the Renormalization Group and to Critical Phenomena ( Wiley, New York 1975 )
J. B. Sethna, D. C. Wright, N. D. Mermin: Phys. Rev. Lett. 51, 467 (1983)
S. Meiboom, J. P. Sethna, P. W. Anderson, W. F. Brinkman: Phys. Rev. Lett. 46, 1216 (1981)
J. M. Kosterlitz, D. J. Thouless: J. Phys. C 6, 1181 (1973); J. V. Jose, L. P. Kadanoff, S. Kirkpatrick, D. R. Nelson: Phys. Rev. B 16, 1217 (1977)
J. B. Kogut: Rev. Mod. Phys. 51, 659 (1979)
S. A. Sella, E. K. Riedel: Phys. Rev. B 23, 6008 (1981)
D. R. Nelson, B. I. Halperin: Phys. Rev. B 19, 2457 (1979)
C. A. Murray, D. H. Van Winkle: Phys. Rev. Lett. 58, 1200 (1977)
R. Kerner: Phil. Mag. B 47, 151 (1983)
N. Rivier, D. M. Duffy: J. Physique 43, 293 (1982)
M. G. Brereton, S. Shah: J. Phys. A 13, 2751 (1980)
H. R. Brandt, K. Kawasaki: J. Phys. C 19, 937 (1986)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Venkataraman, G., Sahoo, D., Balakrishnan, V. (1989). Beyond Simple Geometry. In: Beyond the Crystalline State. Springer Series in Solid-State Sciences, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83434-9_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-83434-9_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83436-3
Online ISBN: 978-3-642-83434-9
eBook Packages: Springer Book Archive