Blucher Physics Proceedings

Julho 2025, vol.11, num.1 - XV Encontro Científico de Física Aplicada
Artigo - Open Access Idioma principal | Segundo principal

Mecânica Estatística e Redes Complexas

Statistical Mechanics and Networks Complexities

HOFFMANN, ELISANGELA; Santos, Tarcis Alvan oliva dos

Artigo:

Este estudo investigou a articulação dos fundamentos da mecânica estatística ao estudo de redes complexas, por meio de uma revisão de literatura sistematizada na base de dados Scopus. A pesquisa foi conduzida em duas etapas: uma análise bibliométrica de 252 artigos e, posteriormente, uma leitura integral dos 10% mais citados (26 artigos) construtores de campo. Os resultados revelaram a centralidade de modelos teóricos como os de Albert e Barabási (2002) e Dorogovtsev e Mendes (2002), que consolidaram a transição da teoria dos grafos para modelos dinâmicos baseados em princípios estatísticos. Os documentos analisados foram agrupados em três categorias: (1) consolidação teórica, com ênfase nos fundamentos conceituais; (2) expansão metodológica e interdisciplinar, com destaque para inovações computacionais e métricas aplicadas; e (3) relevância empírica, a partir da aplicação de modelos em sistemas reais como redes elétricas, financeiras e sociais. O estudo aponta que a mecânica estatística oferece um arcabouço robusto para o entendimento de propriedades emergentes em redes complexas, especialmente em contextos dinâmicos.

This study investigated the articulation of the foundations of statistical mechanics with the study of complex networks, through a systematized literature review in the Scopus database. The research was conducted in two stages: a
bibliometric analysis of 252 articles and, subsequently, a full reading of the top 10% most cited (26 articles) considered field-building. The results revealed the centrality of theoretical models such as those of Albert and Barabási (2002) and Dorogovtsev and Mendes (2002), which established the transition from graph theory to dynamic models based on statistical principles. The analyzed documents were grouped into three categories: (1) theoretical consolidation, with emphasis on conceptual foundations; (2) methodological and interdisciplinary expansion, highlighting computational innovations and applied metrics; and (3) empirical relevance, through the application of models in real systems such as electrical, financial, and social networks. The study indicates that statistical mechanics provides a solid framework for understanding emergent properties in complex networks, especially in dynamic contexts.

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DOI: 10.5151/xvecfa-2025021

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Como citar:

HOFFMANN, ELISANGELA; Tarcis A.O. SANTOS; "Mecânica Estatística e Redes Complexas", p-116-123. In: Anais do XV Encontro Científico de Física Aplicada. São Paulo: Blucher, 2025.
ISSN 23582359, DOI 10.5151/xvecfa-2025021

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