4 papers
A few remarks on hyperstatistics and some applications
Lucas Squillante, Samuel M. Soares, Guilherme Lepski +1
In a recent paper [arXiv:2604.24783 (2026)], we have proposed a general approach to treat systems with inherent non-Boltzmann-Gibbsian behaviour. Given the extremely high accuracy…
Hyperstatistics
Lucas Squillante, Samuel M. Soares, Constantino Tsallis +1
We propose a general approach, named by us hyperstatistics, to treat complex systems, in which Boltzmann-Gibbs statistics breaks down in domains of the system. Hyperstatistics pres…
Universal and non-universal facets of quantum critical phenomena unveiled along the Schmidt decomposition theorem
Samuel M. Soares, Lucas Squillante, Henrique S. Lima +2
Critical phenomena have been extensively investigated both theoretically and experimentally in many fields, such as condensed matter physics, biology, e.g., brain criticality, and…
Exploring the expansion of the universe using the Grüneisen parameter
Lucas Squillante, Gabriel O. Gomes, Isys F. Mello +4
For a perfect fluid, pressure and energy density are related via the equation of state (EOS) , where is the EOS parameter, being its interpretation usually…