@inproceedings {731,
	title = {Application of the thermodynamic state index: Mapping the Unified Mechanics Theory onto the critical phenomena of the 2D Ising model},
	booktitle = {Proceedings of the 44th Samahang Pisika ng Pilipinas Physics Conference},
	year = {2026},
	month = {17-20 Jun 2026},
	pages = {SPP-2026-1D-03},
	address = {Los Ba{\~n}os},
	abstract = {Current predictive models for material failure rely heavily on empirical curve-fitting with derivations that do not start from first-principles{\textquoteright} physics. This study proposes a physics-informed framework for reliability by validating the Unified Mechanics Theory (UMT) against the exact analytical solution of the 2D Ising Model. The Thermodynamic State Index (TSI), a normalised measure of entropic disorder, was mapped onto the Onsager solution for the Ising lattice. The result demonstrates that the phase transition, representing the system{\textquoteright}s "structural" collapse, occurs at a specific critical state index Φc ≈ 0.264 for the square lattice. At this threshold, the magnetic susceptibility diverges, confirming that the TSI accurately tracks the onset of system-wide instability. This work bridges the gap between statistical mechanics and continuum damage mechanics, offering a rigorous, non-empirical metric for quantifying the proximity of a system to catastrophic failure or critical phenomena.},
	url = {https://proceedings.spp-online.org/article/view/SPP-2026-1D-03},
	author = {Kandhalvi M. Asaali and Cristine D. Villagonzalo}
}