Theoretical study of glass transition based on cluster variation method

Tetsuo Mohri, Yoshitaka Kobayashi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Modeling of Glass transition is attempted based on the Cluster Variation Method. Free energy functional of an L10 ordered phase is employed to describe the first order nature of the transition. Free energy contour surface calculated as a function of temperature and an order parameter which simulates an amount of defects provides a generalized stability diagram in which the ideal glass transition temperature is identified as a critical point. Transition kinetics is investigated by Path Probability Method which is the kinetics version of the CVM to time domain. Continuous cooling behavior is calculated by explicitly incorporating the temperature dependent viscosity term based on VFT (Vogel-Fulcher-Tamman) formula. The glass transition is realized as the freezing of the order parameter due to the enhanced viscosity. The extension of the present theoretical scheme to non-Bravais lattice is attempted by Continuous Cluster Variation Method.

Original languageEnglish
Title of host publicationSupplement to THERMEC 2006, 5th International Conference on PROCESSING and MANUFACTURING OF ADVANCED MATERIALS, THERMEC 2006
PublisherTrans Tech Publications Ltd
Pages2425-2430
Number of pages6
EditionPART 3
ISBN (Print)0878494286, 9780878494286
DOIs
Publication statusPublished - 2007 Jan 1
Event5th International Conference on Processing and Manufacturing of Advanced Materials - THERMEC'2006 - Vancouver, Canada
Duration: 2006 Jul 42006 Jul 8

Publication series

NameMaterials Science Forum
NumberPART 3
Volume539-543
ISSN (Print)0255-5476
ISSN (Electronic)1662-9752

Other

Other5th International Conference on Processing and Manufacturing of Advanced Materials - THERMEC'2006
CountryCanada
CityVancouver
Period06/7/406/7/8

Keywords

  • Cluster variation method
  • Continuous displacement cluster variation method
  • Glass transition
  • Path probability method

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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  • Cite this

    Mohri, T., & Kobayashi, Y. (2007). Theoretical study of glass transition based on cluster variation method. In Supplement to THERMEC 2006, 5th International Conference on PROCESSING and MANUFACTURING OF ADVANCED MATERIALS, THERMEC 2006 (PART 3 ed., pp. 2425-2430). (Materials Science Forum; Vol. 539-543, No. PART 3). Trans Tech Publications Ltd. https://doi.org/10.4028/0-87849-428-6.2425