Anharmonic oscillator model for first order structural phase transition

Khare, Avinash ; Behera, S. N. (1980) Anharmonic oscillator model for first order structural phase transition Pramana - Journal of Physics, 14 (5). pp. 327-341. ISSN 0304-4289

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Official URL: http://www.ias.ac.in/j_archive/pramana/14/5/327-34...

Related URL: http://dx.doi.org/10.1007/BF02847840

Abstract

Exact solutions for the motion of a classical anharmonic oscillator in the potential V(φ)=Bφ2-|A|φ4+Cφ6 are obtained in (1 + 1) dimensions. Instanton-like solutions in (imaginary time) which takes the particle from one maximum of the potential to the other are obtained in addition to the usual oscillatory solutions. The energy dependence of the frequencies of oscillation is discussed in detail. This can be used as a model for the first order structural phase transition in the mean field approximation. The high and low temperature behaviour of the static susceptibility is obtained. Finally, a qualitative explanation is offered for the observed central peak in ferroelectrics like SrTiO2.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences..
Keywords:Structural Phase Transition; Anharmonic Oscillator; Soft Mode; Central Peak
ID Code:82077
Deposited On:09 Feb 2012 09:48
Last Modified:18 May 2016 23:24

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