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Non-equilibrium and irreversible simulation of competition among languages

✍ Scribed by D. Stauffer; C. Schulze; F.W.S. Lima; S. Wichmann; S. Solomon


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
140 KB
Volume
371
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

✦ Synopsis


The bit-string model of Schulze and Stauffer [Int. J. Mod. Phys. C 16 (2005) 781] is applied to non-equilibrium situations and then gives better agreement with the empirical distribution of language sizes. Here the size is the number of people having this language as mother tongue. In contrast, when equilibrium is combined with irreversible mutations of languages, one language always dominates and is spoken by at least 80% of the population.


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## Abstract The possibility of estimating equilibrium free‐energy profiles from multiple non‐equilibrium simulations using the fluctuation–dissipation theory or the relation proposed by Jarzynski has attracted much attention. Although the Jarzynski estimator has poor convergence properties for simu