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A unified framework for divergences, free energies, and Fokker–Planck equations

Many efforts have been made to explore systems that show significant deviations from predictions related to the standard statistical mechanics. The present work introduces a unified formalism that connects divergences, generalized free energies, …

Complexity-entropy analysis of solar photospheric turbulence: Hinode images of magnetic and Poynting fluxes

The spatiotemporal inhomogeneous-homogeneous transition in the dynamics and structures of solar photospheric turbulence is studied by applying the complexity-entropy analysis to Hinode images of a vortical region of supergranular junctions in the …

Similarity networks of ordinal-pattern transitions classify falling paper trajectories

Paper fragments in free fall constitute a simple yet paradigmatic mechanical system exhibiting remarkably complex motions. Despite a long history of investigation, this system has defied comprehensive first-principles modeling, motivating the …

Nearest neighbor permutation entropy detects phase transitions in complex high-pressure systems

Understanding the high-pressure phase behavior of carbon dioxide-hydrocarbon mixtures is of considerable interest owing to their wide range of applications. Under certain conditions, these systems are not amenable to direct visual monitoring, and …

Structural roles and gender disparities in corruption networks

Criminal activities are predominantly due to males, with females exhibiting a significantly lower involvement, especially in serious offenses. This pattern extends to organized crime, where females are often perceived as less tolerant to illegal …

Diffusion in a comb-structured media: Non-local terms and stochastic resetting

We examine the dynamics of a system influenced by a backbone structure, incorporating linear non-local terms that account for both irreversible and reversible processes, such as absorption and adsorption--desorption. Additionally, we introduce …

Two-by-two ordinal patterns in art paintings

Quantitative analysis of visual arts has recently expanded to encompass a more extensive array of artworks due to the availability of large-scale digitized art collections. Consistent with formal analyses by art historians, many of these studies …

Diffusion in comb-structured surfaces coupled to bulk processes

From the analytical perspective, we investigate the diffusion processes that arise from a system composed of a surface with a backbone structure coupled to the bulk via the boundary conditions. The problem is formulated in terms of diffusion …

Impact of inter-city interactions on disease scaling

Inter-city interactions are critical for the transmission of infectious diseases, yet their effects on the scaling of disease cases remain largely underexplored. Here, we use the commuting network as a proxy for inter-city interactions, integrating …

Quantifying the 15-minute city concept

Amid growing urbanization, the 15-minute city model seeks to transform city living by ensuring essential services are just a short walk away. New research now quantitatively measures this urban ideal, revealing significant disparities in access …