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Unifying models of dialect spread and extinction using surface tension dynamics.

James Burridge1

  • 1Department of Mathematics, University of Portsmouth, Portsmouth, UK.

Royal Society Open Science
|February 8, 2018
PubMed
Summary

Mathematical models explain linguistic spread, revealing how surface tension drives dialect patterns. This research unifies wave-like spread and hierarchical diffusion, offering insights into dialect evolution and stability.

Keywords:
coarseningdialectssocial systems

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Area of Science:

  • Linguistics
  • Mathematical modeling
  • Sociolinguistics

Background:

  • Spatial linguistic spread involves wave-like propagation and hierarchical diffusion.
  • Surface tension models have been proposed to explain dialect spatial evolution.

Purpose of the Study:

  • To provide a unified mathematical explanation for spatial linguistic spread.
  • To demonstrate how surface tension models can generate both wave-like and hierarchical diffusion.
  • To investigate the role of population mixing in dialect distribution.

Main Methods:

  • Developing and analyzing a mathematical model incorporating surface tension and long-range interactions.
  • Generalizing the model to include population mixing effects.

Main Results:

  • The surface tension model with long-range interactions successfully generates both wave-like spread and hierarchical diffusion.
  • Surface tension is identified as the dominant factor in determining stable dialect patterns.
  • Population mixing can lead to the shrinkage or internal destruction of dialect regions.

Conclusions:

  • A unified mathematical framework explains classical spatial linguistic spread phenomena.
  • Surface tension is a key mechanism governing dialect distribution and stability.
  • Population dynamics significantly influence the persistence and structure of dialect areas.