Finite-size Nagle-Kardar model: Casimir force

D Dantchev, N Tonchev, J Rudnick - Physical Review E, 2024‏ - APS
We derive exact results for the critical Casimir force (CCF) within the Nagle-Kardar model
with periodic boundary conditions (PBCs). The model represents a one-dimensional Ising …

[HTML][HTML] Fluctuation Induced Force in the Nagle–Kardar Model in Ensemble with Conserved Magnetization

D Dantchev, NS Tonchev, J Rudnick - Symmetry, 2024‏ - mdpi.com
For finite systems the thermodynamic potentials are not equivalent. Thus, in any of them the
fluctuations induce different forces: Casimir force (CF) in the grand canonical ensemble …

Ensemble inequivalence in Ising chains with competing interactions

A Campa, V Hovhannisyan, S Ruffo… - Journal of Physics A …, 2025‏ - iopscience.iop.org
We study the effect of competing interactions on ensemble inequivalence. We consider a
one-dimensional Ising model with ferromagnetic mean-field interactions and short-range …

Ensemble Inequivalence with Competing Interactions

A Campa, V Hovhannisyan, S Ruffo… - arxiv preprint arxiv …, 2024‏ - arxiv.org
We study the effect of competing interactions on ensemble inequivalence. We consider a
one-dimensional Ising model with ferromagnetic mean-field interactions and short-range …