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cond-mat.stat-mech2026
Self-Consistent Closure of Fractal Dimension, Nonextensive Statistics, and Non-Markovian Dynamics in Critical Systems
O. Sotolongo-Costa, J. Weberszpil, M. E. Mora-Ramos
Self-organized critical systems often exhibit three macroscopic features simultaneously: nonextensive thermodynamics (quantified by the Tsallis index ), structural fractality (m…
cond-mat.stat-mech2025
Microscopic Origins of Conformable Dynamics: From Disorder to Deformation
José Weberszpil
Conformable derivatives have attracted increasing interest for bridging classical and fractional calculus while retaining analytical tractability. However, their physical foundatio…
cond-mat.stat-mech2025
Conformable Scaling and Critical Dynamics: A Unified Framework for Phase Transitions
José Weberszpil, Ralf Metzler
We investigate the application of conformable derivatives to model critical phenomena near continuous phase transitions. By incorporating a deformation parameter into the different…