Menzerath-Altmann Law: Statistical Mechanical Interpretation as Applied to a Linguistic Organization
JOURNAL OF STATISTICAL PHYSICS, cilt.157, sa.2, ss.392-405, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 157 Sayı: 2
- Basım Tarihi: 2014
- Doi Numarası: 10.1007/s10955-014-1078-8
- Dergi Adı: JOURNAL OF STATISTICAL PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.392-405
- Anahtar Kelimeler: Semiotic sequences, Self-organization, Collective phenomena, Boltzmann distribution, Model generalization, Statistical inference, LANGUAGE, GENOMES, SIZE, TEXT
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
The distribution behavior described by the empirical Menzerath-Altmann law is frequently encountered during the self-organization of linguistic and non-linguistic natural organizations at various structural levels. This study presents a statistical mechanical derivation of the law based on the analogy between the classical particles of a statistical mechanical organization and the distinct words of a textual organization. The derived model, a transformed (generalized) form of the Menzerath-Altmann model, was termed as the statistical mechanical Menzerath-Altmann model. The derived model allows interpreting the model parameters in terms of physical concepts. We also propose that many organizations presenting the Menzerath-Altmann law behavior, whether linguistic or not, can be methodically examined by the transformed distribution model through the properly defined structure-dependent parameter and the energy associated states.