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A critical behaviour of “spherical phonon system” is studied, which is a tentative model useful for the consideration of the ferroelectric phase transitions in anharmonic lattices. The mechanism of the phase transition in this system can be interpreted as a Bose-Einstein condensation of spherical phonons based upon a freeze of chemical potential. The results obtained by the classical and the quantum-mechanical treatments are compared with that of previous theories given by Lines, Tokunaga and Matsubara, Larkin and Vaks, et al.
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Ishii et al. (1975) studied this question.
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