Condensed Matter

   

Onsager Core of Abor-Miri and Mising Languages

Authors: Anindya Kumar Biswas

We study an Abor-Miri to English dictionary and a Mising to English dictionary. We count words one by one. We draw the natural logarithm of the number of words, normalised, starting with a letter vs the natural logarithm of the rank of the letter, normalised( unnormalised). We observe that the graphs are closer to the curves of reduced magnetisation vs reduced temperature for various approximations of the Ising model.We find that behind the words of Abor-Miri language, the magnetisation curve is BP(4,βH = 0.08), in the Bethe-Peierls approximation of Ising model with four nearest neighbours, in presence of liitle external magnetic field, βH = 0.08; behind the words of Mising language the magnetisation curve is BW(c=0.005), in the Bragg-Williams approximation of Ising model in the presenceof external magnetic field, H, with c =H/γε= 0.005. Neverthless, once the Mising alphabet is reduced to that of Abor-Miri, the magnetisation curve behind the Mising language is BP(4,βH = 0.08). Both seem to underlie the same type of magnetisation curve in the Spin-Glass phase in the presence of external magnetic field. Moreover, words of both Abor-Miri language and the Mising language in the reduced alphabet scheme, go over to Onsager solution, on few successive normalisations. β is 1/(k_B T) where, T is temperature and k_B is the Boltzmann constant.

Comments: 44 Pages. A mistake in plotting BW(c=0.01) has been rectified

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Submission history

[v1] 2020-03-17 10:11:57
[v2] 2025-09-24 08:41:49

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