Authors: Anindya Kumar Biswas
We study Oxford English dictionaries of economics, geography and psychology; look into Concise Oxford English dictionaries of linguistics and medical and consult Dorland’s pocket medical dictionary respectively. We draw the natural logarithm of the number of entries, normalised, starting with a letter vs the natural logarithm of the rank of the letter, normalised. We find that the graphs are closer to the curves of reduced magnetisation vs reduced temperature for the Bethe-Peierls approximation of the Ising model with four nearest neighbours, in absence and presence of little temperature dependent external magnetic fields i.e. magnetisation curves for various constant values of $\beta H$. For economics, geography and two medical dictionaries $\beta H$ is zero. For linguistics and psychology dictionaries $\beta H$ is 0.02. Moreover, we have redone the analysis for the Oxford Dictionary of Construction, Surveying and Civil Engineering as well as for the Oxford Dictionary of Science and have found that the entries underlie magnetisation curves for the the Bethe-Peierls approximation of the Ising model with four nearest neighbours with $\beta H=0.02$ and $\beta H=0.01$ respectively. $\beta$ is $\frac{1}{k_{B}T}$ where, T is temperature, H is external magnetic field and $k_{B}$ is Boltzmann constant.
Comments: 58 Pages. typos
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