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An application of an analogue of the partition function to the evolution of diglossia

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  • Wyburn, John
  • Hayward, John

Abstract

Recent trends in the numbers of minority language speakers have given cause for concern as to the effectiveness of traditional language-acquisition and survival strategies. This paper addresses the establishment of a recognized survival scenario, that of diglossia, the allocation of different languages to complementary social domains. The method is the novel application of an analogue of the partition function of statistical mechanics, embodied in a cellular automaton, to a population of subsets of social domains in which either of two languages may be spoken. The case of modern Wales is discussed in detail. Conclusions are drawn regarding the role of diglossia in the preservation of endangered languages.

Suggested Citation

  • Wyburn, John & Hayward, John, 2019. "An application of an analogue of the partition function to the evolution of diglossia," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 447-463.
    • Handle: RePEc:eee:phsmap:v:516:y:2019:i:c:p:447-463
    DOI: 10.1016/j.physa.2018.10.047
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    References listed on IDEAS

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    1. Nie, Lin-Fei & Teng, Zhi-Dong & Nieto, Juan J. & Jung, Il Hyo, 2015. "State impulsive control strategies for a two-languages competitive model with bilingualism and interlinguistic similarity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 136-147.
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    6. J Wyburn & J Hayward, 2009. "OR and language planning: modelling the interaction between unilingual and bilingual populations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(5), pages 626-636, May.
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    Cited by:

    1. Michael Boissonneault & Paul Vogt, 2021. "A systematic and interdisciplinary review of mathematical models of language competition," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-12, December.

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