[HTML][HTML] Nonadditive Entropies and Nonextensive Statistical Mechanics

U Tirnakli - Entropy, 2025 - mdpi.com
The centennial Boltzmann–Gibbs statistical mechanics [1], which are based on the additive
Boltzmann–Gibbs–von Neumann–Shannon entropy [2], have had undeniable success in an …

Fourier's law breakdown for the planar-rotor chain with long-range coupling

HS Lima, C Tsallis, D Eroglu, U Tirnakli - arXiv preprint arXiv:2407.13843, 2024 - arxiv.org
The thermal conductivity, $\kappa $, of a homogeneous chain of generically-ranged
interacting planar rotors, more precisely the inertial $\alpha-XY $ model, is numerically …

[PDF][PDF] First-principle validation of Fourier's law: a brief study of n-vector models

HS Lima - thibes.macsyma.org
For n= 1, our focus is on the d= 1 lattice of ferromagnetically coupled planar rotators in the
inertial XY model, considering both local and coupling anisotropies. In the limit of extreme …