Ising ferromagnet and nonadditive entropies: equilibrium and nonequilibrium properties

Henrique Santos Lima () and Constantino Tsallis
Additional contact information
Henrique Santos Lima: Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems
Constantino Tsallis: Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems

The European Physical Journal B: Condensed Matter and Complex Systems, 2025, vol. 98, issue 6, 1-9

Abstract: Abstract Some equilibrium and nonequilibrium properties of the one-dimensional nearest-neighbor Ising ferromagnet that are grounded on nonadditive entropies are reviewed. First, we focus on the known fact that the nonadditive entropy $$S_q$$ S q for a special value of q, namely $$q^\star =\sqrt{37}-6 \simeq 0.0828$$ q ⋆ = 37 - 6 ≃ 0.0828 , yields entropic extensivity, thus satisfying the Legendre structure of classical thermodynamics, at the quantum critical point of the spin-1/2 ferromagnetic Ising chain in the presence of an external transverse field. Then we address a well-known issue in phase transitions, namely that, at the critical point, quantities such as the susceptibility and the Grüneisen ratio diverge within Boltzmann–Gibbs statistical mechanics ( $$q=1$$ q = 1 ). Moreover, we show that such thermostatistical quantities diverge for $$q>q^\star $$ q > q ⋆ , vanish for $$q

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/s10051-025-00980-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:98:y:2025:i:6:d:10.1140_epjb_s10051-025-00980-9

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/s10051-025-00980-9

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().