Abstract
We investigate the analogy which exists between the evolution of natural and artificial languages, of human society, of animal communities, of microorganisms, and of gas molecules from the point of view of the statistical ideology of the thermodynamics of gases (fluids). We define linguistic clusters, the “energy” of a text, the entropy of languages, the “temperature” of a text, its κ-potential, and we study the isotherms of texts. We write out an equation that may be called the state equation of the thermodynamics of language. We prove that under certain conditions the isotherm of a collection of books necessarily has a critical point and present its linguistic interpretation as a kind of phase transfer in which clusters are destroyed. Further, we point out some relationships and analogies between Darwin’s theory of natural selection and the evolution of animal and human communities, the evolution of language, the evolution of rules and laws in different communities and in society.
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Maslova, T.V. Existence theorem of the critical isotherm in mathematical linguistics. Math Notes 86, 873–878 (2009). https://doi.org/10.1134/S0001434609110297
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DOI: https://doi.org/10.1134/S0001434609110297